Contemporary Mathematics, Volume 5 Issue 2 (2024), 1122-2592



Open Access Article

Two Indicators of Cross-Correlation for the Functions from Zqn to Z2q

by Deep Singh, Harsh Mishra, Vitsoto Luho, Amit Paul

ABSTRACT: Boolean functions play an important role in the design of secure cryptosystems and code division multiple access (CDMA) communication. Several possible generalizations of Boolean functions have...

Open Access Article

Optical Solitons with Dispersive Concatenation Model Having Multiplicative White Noise by the Enhanced Direct Algebraic Method

by Ahmed H. Arnous, Anjan Biswas, Yakup Yildirim, Ali Saleh Alshomrani

ABSTRACT: This paper investigates the significance of the dispersive concatenation model, incorporating the Kerr law of self-phase modulation in the presence of white noise. Our methodology relies on the...

Open Access Article

Multi-Class Network Anomaly Detection Using Machine Learning Techniques

by Satyanarayana Gunupusala, Shahu Chatrapathi Kaila

ABSTRACT: Computer networks rely on Intrusion Detection Systems (IDSs) and Intrusion Prevention Systems (IPSs) to ensure the security, reliability, and availability of an organization. In recent years,...

Open Access Article

Co-Secure Domination in Zero-Divisor Graphs Γ(Zn)

by A. Mohamed Ali, S. Rajkumar

ABSTRACT:

Open Access Article

An Efficient Technique to Study Time Fractional Extended Fisher-Kolmogorov Equation

by K. Pavani, K. Raghavendar, K. Aruna

ABSTRACT: Reaction-diffusion partial differential equations are among the most widely used equations in applied mathematical modelling. In this study, we examine the solutions of one such equation, namely,...

Open Access Article

A Hybrid Fuzzy Extension and Its Application in Multi-Attribute Decision Making

by AN. Surya, J. Vimala, K. Ashma Banu

ABSTRACT: The hypersoft set theory is an extension of soft set theory. The complex non-linear diophantine fuzzy set is a hybrid fuzzy extension that serves as a generalization of the q-rung linear...

Open Access Article

Fuzzy Metric Spaces: Optimizing Coincidence and Proximity Points

by Koon Sang Wong, Zabidin Salleh, Habibulla Akhadkulov

ABSTRACT: Our manuscript puts forward two novel fuzzy proximal contractive conditions. First, we present two variants of fuzzy α-proximal quasi- H -contractions and establish optimal coincidence point...

Open Access Article

Analysis of Humoral Immunity SARS-CoV-2 Infection Model with ACE2 Receptor and Latent Phase

by Ahmed M. Elaiw, Amani S. Alsulami, Aatef D. Hobiny

ABSTRACT: Severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) is RNA virus which causes the coronavirus disease 2019 (COVID-19). SARS-CoV-2 infects the epithelial (target) cells by binding its...

Open Access Article

Mirror Symmetry, Zeta Functions and Mackey Functors

by Mohammad Reza Rahmati

ABSTRACT: We present two alternative and new proofs for the duality between orbifold zeta functions of Berglund-Hubsch dual invertible polynomials. We re-prove the following theorem; Assume W and W T...

Open Access Article

Vector Fixed Point Approach to Control of Kolmogorov Differential Systems

by Alexandru Hofman, Radu Precup

ABSTRACT: The paper presents a vector approach to control problems for systems of equations. The method is described in the case of Kolmogorov systems which arise frequently in the dynamics of populations....

Open Access Article

Exploring the Elzaki Transform: Unveiling Solutions to Reaction-Diffusion Equations with Generalized Composite Fractional Derivatives

by Mohd Khalid, Ishfaq Ahmad Mallah, Subhash Alha, Ali Akgul

ABSTRACT: This article investigates the use of the Elzaki transform on a generalized composite fractional derivative. To establish the framework for this inquiry, numerous essential lemmas about the Elzaki...

Open Access Article

Regularity of Initial Ideal of Binomial Edge Ideals in Degree 2 and Their Powers

by Bakhtyar Mahmood Rahim, Hero Saremi, Mudhafar Fattah Hama

ABSTRACT: In this paper, we study the Castelnuovo-Mumford regularity of the initial ideal of binomial edge ideals in degree 2 ([ in < ( J G )] 2 ), and their powers for some classes of graphs. Also, we...

Open Access Article

A Comprehensive Flood Risk Inundation Mapping and Hybrid Model for Flood Forecasting in the Panam River Basin

by Monal Patel, Falguni Parekh

ABSTRACT: The forecasting of flooding plays a pivotal role in the field of hydrology and serves as an essential measure for preventing any possible flood damage. This study presents an analysis of the...

Open Access Article

Computing Certain Topological Indices of Silicate Triangle Fractal Network Modeled by the Sierpiński Triangle Network

by Gayathiri V, Manimaran A

ABSTRACT: The study of Sierpiński triangle network and extended Sierpiński graph is quite interesting in the field of fractal networks. In nature, fractal networks (FN) and silicate structure networks ( Sio...

Open Access Article

A Dual Deflation Method for the Computation of Eigenmodes of Positive Definite Matrices

by Pravin Singh, Shivani Singh, Virath Singh

ABSTRACT: In this paper we advocate a new method to compute the eigenmodes of real symmetric positive definite matrices. Our method involves the zeros of a quartic polynomial, shifted inverse iteration and...

Open Access Article

Heuristic Incident Edge Path Algorithm for Interval-Valued Neutrosophic Transportation Network

by Kanchana M, Kavitha K

ABSTRACT: Neutrosophic Set is an extension of Fuzzy set theory dealts with uncertain environments in Transportation, Decision-making etc. Finding the shortest path for an uncertain environment is one of the...

Open Access Article

An Extension of Nobel's Multiplying Factor Method for Solutions of Dual and Triple q-Integral Equations

by Maryam Al-Towailb

ABSTRACT: In this paper, we convert certain dual q -integral equations involving third Jackson q -Bessel functions to the first and second kind Fredholm q -integral equations by extending the...

Open Access Article

A Vertical Surface Flow Analysis of MHD Nanofluids Influenced by Radiation, Viscous Dissipation, and Joule Heating with Soret and Dufour Effects

by S. Jayanthi, H. Niranjan

ABSTRACT: The purpose of this study is to investigate the effects of radiation and activation energy on mass transfer nanofluids flowing across an expanding sheet in a vertical direction, as well as joule...

Open Access Article

Information Asymmetric Cooperative Game with Agreements Implemented by a Third Party

by Jeanpantz Chen

ABSTRACT: This paper introduces asymmetric information into the analysis of cooperative games with agreements implemented by a third party and establishes theoretical models of a one-time information...

Open Access Article

Solution of the Space Fractional Diffusion Equation Using Quadratic B-Splines and Collocation on Finite Elements

by R. A. Adetona, N. Parumasur, P. Singh

ABSTRACT: In this paper, we consider the solution of the space fractional diffusion equation using orthogonal collocation on finite elements (OCFE) with quadratic B-spline basis functions. The main...

Open Access Article

A Couple of Fresh New Perspectives on the Concatenation Model with Power-Law of Self-Phase Modulation

by Anwar Ja'afar Mohamad Jawad, Anjan Biswas, Yakup Yildirim, Ali Saleh Alshomrani

ABSTRACT: In this paper, we have secured new optical solitons for the concatenation model with power-law nonlinearity. The traveling wave hypothesis serves as the starting point. To retrieve optical soliton...

Open Access Article

Embracing Sustainability in Green Supplier Evaluation: A Novel Integrated Multi-Criteria Decision-Making Framework

by Nayeem Ahamed, Goutom Dey, Tamzed Ahmed, Rafat Rahman, Hasin Md. Muhtasim Taqi, Sayem Ahmed

ABSTRACT: Nowadays, industrial production is a critical issue for companies as public consciousness is rising because of environmental impacts. Like most other industries, the ready-made garment (RMG)...

Open Access Article

A Secure Key Exchange Protocol and a Public Key Cryptosystem for Healthcare Systems

by Yuvasri R, Manimaran A

ABSTRACT: Diffie-Hellman ( DH ) is the reason for the existence of a solution to the key distribution problem, where two parties can mutually set up a shared secret key over an insecure channel without any...

Open Access Article

Alleviated Shifted Gegenbauer Spectral Method for Ordinary and Fractional Differential Equations

by S. M. Sayed, A. S. Mohamed, E. M. Abo El-Dahab, Y. H. Youssri

ABSTRACT: This article introduces two numerical methods to address boundary value problems associated with secondorder and fractional differential equations. These methods employ two parameters related to...

Open Access Article

Optimal Control Model of University-PhD-Postdoc-Industry (UPPI) Migration and Unemployment

by Adeniji AA, Adeniyi MO, Shatalov MY, Oshinubi K

ABSTRACT: This study explores the impact of the movement of PhD graduates and postdoctoral research fellows between academia and industry on unemployment within the academic and industry sectors. To achieve...

Open Access Article

Metaheuristic Cost Optimization of MX/G1,G2/ 1 Queue with Service disruption, Working breakdown, Balking, Catastrophe and Extended Server Vacation with Bernoulli Schedule

by Rani R, Indhira K

ABSTRACT: We presented a M X / G 1 , G 2 /1 queueing system with a Bernoulli schedule that includes service disruption, working breakdown, balking, catastrophe and extended server vacations. All...

Open Access Article

A Fixed Point Theorem for Time-Fractional Fornberg-Whitham Equation Arising in Atmospheric Science

by Ashok Kumar Badsara, Virendra Singh Chouhan

ABSTRACT: In this paper, we apply the Homotopy perturbation transform method of the time-fractional Fornberg-Whitham equation with Caputo-Fabrizio fractional derivative. We establish the existence and...

Open Access Article

Optimal Power Flow of Power System with Unified Power Flow Controller Using Moth Flame Optimization with Locational Marginal Price

by Trinadh Babu Kunapareddy, Sravana Kumar Bali

ABSTRACT: Consideration of transmission line capacity and the optimal power flow (OPF) determines the locational marginal price (LMP), which in turn determines the performance and profitability of a...

Open Access Article

Some Orthogonal Combinations of Legendre Polynomials

by W.M. Abd-Elhameed, A.M. Al-Sady

ABSTRACT: The main purpose of this study is to introduce and study certain orthogonal polynomials (OPs) that are written as combinations of Legendre polynomials. These polynomials can be viewed as...

Open Access Article

Highly Dispersive Optical Gap Solitons with Kundu-Eckhaus Equation Having Multiplicative White Noise

by Elsayed M. E. Zayed, Reham M. A. Shohib, Mohamed E. M. Alngar, Mona El-Shater, Anjan Biswas, Yakup Yildirim, Anwar Ja' afar Mohamad Jawad, Ali Saleh Alshomrani

ABSTRACT: This paper explores the dynamics of highly dispersive gap solitons within the framework of the Kundu-Eckhaus equation, augmented by the inclusion of multiplicative white noise in the Itô sense, a...

Open Access Article

Fekete-Szegö Inequality for a Subclass of Bi-Univalent Functions Linked to q-Ultraspherical Polynomials

by Abdullah Alsoboh, Murat Çağlar, Mucahit Buyankara

ABSTRACT: In this study, we introduce a new class of bi-univalent functions using q -Ultraspherical polynomials. We derive the Fekete and Szegö functional problems for functions in this new subclass, as...

Open Access Article

Dynamic Path-Planning Approach of Garbage Cleanup Oriented Unmanned Ship Based on Simplified Flow Velocity Prediction

by Ziyi Huang, Nana Chen, Yangtian Yan, Kai Yan, Xin Chen, Xianhua Zheng, Hankun Yin , Kaixin Xie, Lin Zhang

ABSTRACT: Research on artificial intelligence and robotics for the ecological protection and restoration of waters has increased in importance with the promotion of national green sustainable development...

Open Access Article

A Caputo-Type Fractional-Order Model for the Transmission of Chlamydia Disease

by Jignesh P. Chauhan, Sagar R. Khirsariya, Minakshi Biswas Hathiwala

ABSTRACT: In this article, we study a mathematical model of the chlamydia infection caused by sexual contact. To analyze this model, we combine the homotopy perturbation Laplace transform technique with the...

Open Access Article

A Certain q-Sălăgean Differential Operator and Its Applications to Subclasses of Analytic and Bi-Univalent Functions Involving (p, q)-Chebyshev Polynomial

by Musthafa Ibrahim, Bilal Khan, A. Manickam

ABSTRACT: In the present investigation, we make use of the q -analogue of the Sălăgean differential operator and introduce a new subclass of analytic and bi-univalent functions S Σ η , μ involving...

Open Access Article

Theoretical Analysis of Pre-Steady State Behaviour of Non-Linear Double Intermediate Enzymatic Reaction

by Reena A, Raja R, Swaminathan R

ABSTRACT: This paper explores the mathematical modelling of a non-linear double intermediate enzymatic reaction, focusing on its pre-steady state behaviour. Using homotopy perturbation and Taylor's series...

Open Access Article

CSO-based Efficient Resource Management for Sustainable Cloud Computing

by K. Shanmugam, Satyam K, T. Rajasekhar

ABSTRACT: The pervasive need for cloud-hosted application services has resulted from the widespread use of cloud data centers. Not only that, but there has been a dramatic increase in the resource demands...

Open Access Article

Application of Clifford Algebra on Group Theory

by Farooqhusain Inamdar, Hasan S. N.

ABSTRACT: The orthogonal operators defined as similarity transformations on Euclidean space E can also be considered as group actions on the Clifford Algebra. In this paper, we investigate the finite...

Open Access Article

Highly Dispersive Optical Solitons with Quadratic-Cubic Nonlinear form of Self-Phase Modulation by Sardar Sub-Equation Approach

by Anwar Ja’afar Mohamad Jawad, Anjan Biswas, Yakup Yildirim, Ali Saleh Alshomrani

ABSTRACT: The highly dispersive optical solitons with a quadratic-cubic form of self-phase modulation structure are derived. The governing model was reduced to an ordinary differential equation by the...

Open Access Article

Idealization of a Semigroup by Using Bruck-Reilly Monoids

by Suha Wazzan, Nurten Urlu Ozalan

ABSTRACT: The aim of this paper is to create a new semigroup by defining a special idealization operation on semigroups. Additionally, by considering amalgamation, we will present novel distinguishing...

Open Access Article

Enhanced Energy Transfer Performance in an Inclined Magneto-Convective Sutterby Ternary Hybrid Nanoflow: Application for Nano Diesel

by R Revathi, T. Poornima

ABSTRACT: This study investigates sodium alginate-based nano-lubricants with added copper and aluminum oxides. The thermal performance of nano (Al 2 O 3 ), hybrid (Al 2 O 3 + CuO) and ternary (Al 2 O 3 +...

Open Access Article

Group Classification of Second-Order Linear Neutral Differential Equations

by Jervin Zen Lobo, Y. S. Valaulikar

ABSTRACT: In this paper, we shall extend the method of obtaining symmetries of ordinary differential equations to second-order non-homogeneous functional differential equations with variable coefficients....

Open Access Article

Inclusion Results on Hypergeometric Functions in a Class of Analytic Functions Associated with Linear Operators

by Manas Kumar Giri, Raghavendar K

ABSTRACT: This study focuses on analyzing the inclusion properties of a certain subclass of analytic functions. This study examines the Hohlov integral transform, which is associated with the normalized...

Open Access Article

Convergence Analysis of Resolvent Equation Technique for Co-Variational Inequality Problem in Banach Spaces

by Haider Abbas Rizvi, Mijanur Rahaman, Imran Ali

ABSTRACT: In this work, a co-variational inequality problem and a co-resolvent equation problem are introduced and investigated. It is shown that the fixed point problem is equivalent to the problem of...

Open Access Article

Generalized Caputo Fractional Proportional Differential Equations and Inclusion Involving Slit-Strips and Riemann-Stieltjes Integral Boundary Conditions

by Wafa Shammakh, Hanan A. Alyami, Hadeel Z. Alzumi

ABSTRACT: The main purpose of this study is to investigate the existence and uniqueness of solutions to a nonlocal boundary value problem. This newly defined class involves nonlinear fractional differential...

Open Access Article

Application of Network Reconstruction Algorithm to Compute Maximum Flow for Water Supply Network: A Case Study of the City of Bulawayo, Zimbabwe

by Trust Tawanda, Santosh Kumar, Elias Munapo, Philimon Nyamugure

ABSTRACT: Determining the maximum flow value in Water Supply Networks (WSN) is a common problem that is being faced by many cities during and after designing of WSN. In this article, the network...

Open Access Article

Palindromic Antimagic Labeling of Products of Paw and Banner Graph

by P. Reka, S. P. Soundariya

ABSTRACT: This article presents a novel classification of Antimagic labeling referred to as Palindromic antimagic. Palindromic Antimagic labeling pertains to the assignment of palindromic numbers {℘ 1 , ℘ 2...

Open Access Article

Neutrosophic Semi βF-Contra Continuity in a Neutrosophic Topological Space

by K. Fayaz Ur Rahman, N. Kalaivani, G. Shanmugasundar, H. B. Michael Rajan, Muniyandy Elangovan

ABSTRACT: The main intention of this article is to propose the theory of a neutrosophic S β F contra continuous function, neutrosophic strongly S β F continuous function, neutrosophic strongly S β...

Open Access Article

Revisitation of “Implicit Quiescent Optical Solitons with Complex Ginzburg-Landau Equation Having Nonlinear Chromatic Dispersion“: Linear Temporal Evolution

by Abdullahi Rashid Adem, Anjan Biswas, Yakup Yildirim, Ali Saleh Alshomrani

ABSTRACT: The current paper revisits the retrieval of quiescent optical solitons for the complex Ginzburg-Landau equation with nonlinear chromatic dispersion and several forms of self-phase modulation. The...

Open Access Article

Simulink Methods to Simulate COVID-19 Outbreak Using Fractional Order Models

by Srilekha R, Parthiban V

ABSTRACT: The objective of this work is to solve a coronavirus transmission model using Simulink, a platform for model-based design that facilitates simulation and design at the system level. The simulation...

Open Access Article

Analyze the Eigenvalues of a Neutral Delay Differential Equation by Employing the Generalized Lambert W Function

by K. Sasikala, D. Piriadarshani, Vediyappan Govindan, M. Ijaz Khan, Manish Gupta, Artur Zayniddinovich Koryogdiev, Almetwally M. Mostafa, Nouf F. AlQahtani

ABSTRACT: In this paper the authors discuss a class of differential equations known as neutral delay differential equations (NDDEs) in which the delay occurs in the derivative with the highest order. They...

Open Access Article

Investigation of a Mathematical Model and Non-Linear Effects Based on Parallel-Substrates Biochemical Conversion

by Nebiyal A, Swaminathan R, Raja R, Karpagavalli SG

ABSTRACT: According to the broad applicability and advancements made in addressing complex non-linear problems, Researchers have been actively involved in addressing the accurate approaches to solve...

Open Access Article

Analyzing Observability of Fractional Dynamical Systems Employing ψ-Caputo Fractional Derivative

by A. Panneer Selvam, V. Govindaraj

ABSTRACT: In this present article, we inquire into the observability of linear and nonlinear fractional dynamical systems in terms of ψ -Caputo fractional derivative. The observability Grammian matrix,...

Open Access Article

Analysis of Fuzzy Membership Function on Greenhouse Gas Emission Estimation by Triangular and Trapezoidal Membership Functions in Indian Smart Cities

by Velmurugan S, Arun kumar S, Udhayakumar R

ABSTRACT: This research aims to analyze the efficiency of triangular and trapezoidal membership functions in forecasting CO 2 , N 2 O, and CH 4 emissions in Indian smart cities. Over 10-years, emissions...

Open Access Article

Research on Green Production Factors by OFDI Along the Belt and Road Initiative

by Jian Yang, Ni Ma

ABSTRACT: To analyze the role of the Belt and Road Initiative in China’s OFDI by applying a double-difference model. To determine the accuracy of the model, using the skewed distribution matching method,...

Open Access Article

Internally Disclosed Sets of a Real Space

by Rasulkhozha S. Sharafiddinov

ABSTRACT: There is no single set in a real space, for which an exact mathematical definition would not exist by the mathematical symmetry laws. We discuss a theory in which a real number axis is defined at...

Open Access Article

A New Model Making the Transition From Oil to Solar Energy

by Séverine Bernard, Alain Pietrus, Watson Sainvil

ABSTRACT: Today, the use of renewable energy sources such as sun, wind and hot water to generate electricity is increasingly becoming a global priority. In this paper, we propose a deterministic dynamical...

Open Access Article

Algorithm Optimizer in GA-LSTM for Stock Price Forecasting

by YL Sukestiyarno, Dian Tri Wiyanti, Lathifatul Azizah, Wahyu Widada, Khathibul Umam Zaid Nugroho

ABSTRACT: The training and success of deep learning is strongly influenced by the selection of hyperparameters. This research uses a hybrid method between the genetic algorithm (GA) and long short-term...

Open Access Article

Cryptographic  Signature Scheme for Mobile Edge Computing Using DLFP Over Semiring

by Sethupathi S, Manimaran A

ABSTRACT: The Undeniable Signature Scheme ( USS ) was first introduced by chaum and van in 1989. The advantage of the ( USS ) scheme is the signer’s co-operation during the verification process. In this...

Open Access Article

Topological Indices and Properties of the Prime Ideal Graph of a Commutative Ring and its Line Graph

by Abdul Gazir Syarifudin, Intan Muchtadi-Alamsyah, Erma Suwastika

ABSTRACT: Let R be a commutative ring with identity, and P be a prime ideal of R . The prime ideal graph, denoted by Γ p , is the graph where the set of vertices is R /{0} and two vertices are...

Open Access Article

Sensitivity Analysis and Optimal Control of Cocoa Black Pod Disease Caused by Phytophora Margakarya

by Adebayo Adeniran, Adeniyi Onanaye, Olawale Adeleke, Mathew Odekunle

ABSTRACT: To address the critical threat black pod disease poses to global cocoa production and farmer income, this study developed a novel mathematical model that utilizes a system of ordinary differential...

Open Access Article

Fixed Point Results in Generalized Bi-2-Metric Spaces Using θ-Type Contractions

by Safeer Hussain Khan, Pravin Singh, Shivani Singh, Virath Singh

ABSTRACT: The main purpose of this manuscript is to provide a generalization of the concept of a 2-metric and prove some fixed point results for θ -type contractions. In this paper, we proved that a...

Open Access Article

Extraction of Solitons in Optical Fibers for the (2+1)-Dimensional Perturbed Nonlinear Schrödinger Equation Via the Improved Modified Extended Tanh Function Technique

by Islam Samir, Ola El-Sham, Reda El-barkoki, Hamdy M. Ahmed, W. Abbas, M. S. Hashemi

ABSTRACT: The presented research investigates the (2+1)-dimensional perturbed nonlinear Schrödinger model. This model takes into account various effects such as fourth order dispersion, intermodal...

Open Access Article

Artificial Intelligence Solution for Relaxation Oscillation Equation

by A. Kalaiyarasi, V. Joseph Raj, S. Sindu Devi, V. J. Joliz Anton

ABSTRACT: Artificial Intelligence Solution is given for Relaxation Oscillation Equation, which is one of the simplest Fractional Differential Equation. Artificial Intelligence solution has been identified...

Open Access Article

Dynamics of HIV-1 and HTLV-1 Coinfection with both CTL and Antibody Responses

by Ahmed M. Elaiw, Noura H. AlShamrani, Amani S. AlSulami, Aatef D. Hobiny

ABSTRACT: Human immunodeficiency virus type 1 (HIV-1) and human T-lymphotropic virus type 1 (HTLV-1) coinfection models with simply an antibody response or a CTL response have been the subject of several...

Open Access Article

Mathematical Analysis of Nonlinear Differential Equations in Polymer Coated Microelectrodes

by Dorathy Cathrine A, Raja R, Swaminathan R

ABSTRACT: A theoretical analysis is conducted on the electrochemical behaviour of micro disk electrodes coated with thin coatings of electroactive polymers. The main focus of efforts to characterize the...

Open Access Article

MHD Stagnation Point Radiative Flow of Hybrid Casson Nanofluid Across a Stretching Surface

by Sandhya Rani, Venkata Ramana Reddy, W Sridhar, Ali Akgül, Abdulrhman M Alsharari, Jihad Asad

ABSTRACT: The current investigation explores the hybrid Casson nanofluid stagnation point flow on a transient stretching surface under the impact of thermal radiation. The Joule heating effect is also...

Open Access Article

Non-Markovian Feedback Retrial Queue with Two Types of Customers and Delayed Repair Under Bernoulli Working Vacation

by Sundarapandiyan S, Nandhini S

ABSTRACT: This paper deals with an M/G/1 feedback retrial G-queue and delayed repair incorporating Bernoulli working vacation. Arrivals of both favorable and unfavorable consumers are two independent...

Open Access Article

Extended Newton-Traub Method of Order Six

by Ioannis K. Argyros, Jinny Ann John, Jayakumar Jayaraman

ABSTRACT: In various scientific and engineering fields, many applications can be simplified as the task of solving equations or systems of equations within a carefully chosen abstract space. However,...

Open Access Article

Hyperbolic 3-Manifolds with Boundary Which are Side-Pairings of Two Tetrahedra as Exteriors of Knotted Graphs in the 3-Sphere

by Juan Pablo Díaz, Gabriela Hinojosa

ABSTRACT: In this paper, we give a generalization of Ivanšić's method for hyperbolic 3-manifolds without boundary, which allows us to recognize if a hyperbolic 3-manifold with totally geodesic boundary,...

Open Access Article

On Linearization Coefficients of Shifted Jacobi Polynomials

by H. M. Ahmed, W. M. Abd-Elhameed

ABSTRACT:

Open Access Article

Optical Solitons for the Dispersive Concatenation Model with Polarization Mode Dispersion by Sardar's Sub-Equation Approach

by Anwar Ja'afar Mohamad Jawad, Yakup Yildirim, Anjan Biswas, Ali Saleh Alshomrani

ABSTRACT: This paper recovers the spectrum of optical solitons for the dispersive concatenation model with the application of the Sardar sub-equation approach. The single soliton solutions that emerge from...

Open Access Article

An Imperfect Production Inventory Model for Instantaneous Deteriorating Items with Preservation Investment Under Inflation on Time Value of Money

by Surendra Vikram Singh Padiyar, Vipin Chandra Kuraie, Deepa Makholia, S. R. Singh, Vaishali Singh, Navneet Joshi

ABSTRACT: Effective inventory management is crucial for businesses dealing with deteriorating items, where demand is influenced not only by traditional factors but also dependent on the selling price. This...

Open Access Article

Fast Two-Grid Finite Element Algorithm for a Fractional Klein- Gordon Equation

by Jingwei Jia, Nian Wang, Yang Liu, Hong Li

ABSTRACT: In this article, we propose a spatial two-grid finite element algorithm combined with a shifted convolution quadrature (SCQ) formula for solving the fractional Klein-Gordon equation. The time...

Open Access Article

Review on Jacobi-Galerkin Spectral Method for Linear PDEs in Applied Mathematics

by R. M. Hafez, Y. H. Youssri

ABSTRACT: This study explores the spectral Galerkin approach to solving the space-time Schrödinger, wave, Airy, and beam equations. In order to facilitate the creation of a semi-analytical approximation...