Contemporary Mathematics, Volume 5 Issue 2 (2024)

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

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

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

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

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

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

Enhanced Energy Transfer Performance in an Inclined MagnetoConvective 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

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

by A. Mohamed Ali, S. Rajkumar


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

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: This paper aims to investigate the hybrid stagnancy point in casson nanofluid on a transient elongation plane in accordance with impact of thermal heat. Resistive heating effect also considered in...

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

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

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

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

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

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

Some Orthogonal Combinations of Legendre Polynomials

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

ABSTRACT: The principle objective of this article is to introduce and investigate a type of orthogonal polynomials that are written as combinations of Legendre polynomials. This kind of polynomials can be...

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

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

Artificial Intelligence Solution for Relaxation Oscillation Equation

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

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

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

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

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

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

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

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

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

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

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...