Contemporary Mathematics, Volume 3 Issue 3 (2022), 270-385

Open Access Article

Spectral Collocation Algorithm for Solving Fractional Volterra-Fredholm Integro-Differential Equations via Generalized Fibonacci Polynomials

by E. M. Abo-Eldahab, A. S. Mohamed, S. M. Ali

ABSTRACT: In this research article, we build and implement an efficient spectral algorithm for handling linear/nonlinear mixed Volterra-Fredholm integro-differential equations. First, we expand the exact...

Open Access Article

The Eigenfunction Method to Calculate the Klein-Gordon Propagator in an Inhomogeneous Magnetic Field

by Emerson B.S. Corrêa, M. G. Lima, S. C. Q. Arruda

ABSTRACT: In this paper, we use the Eigenfunction method (Ritus'method) to calculate the Klein-Gordon propagator under an external magnetic field with an exponential damping factor b , in a...

Open Access Article

Quantized Constrained Molecular Chains: Vibrations, Internal Rotations and Polymerization

by Ramon F. Alvarez-Estrada

ABSTRACT: The present work has a twofold purpose. a) It proposes a quantum-mechanical approach to constrained molecular chains and their small vibrations and rotations, by employing in a compact way vector...

Open Access Article

Study of Effect of Different Shapes of Nanoparticles in Three-Layer Model for Blood Flow in Arterioles

by Rekha Bali, Bhawini Prasad, Swati Mishra

ABSTRACT: Arterioles are pivotal console of hemodynamics as they are significant contributors to pressure. Under various physiological conditions like administration of a drug, arterioles ascertain...

Open Access Article

On F-Contractions: A Survey

by Nicola Fabiano, Zoran Kadelburg, Nikola Mirkov, Vesna Šešum Čavić, Stojan Radenović

ABSTRACT: D. Wardowski proved in 2012 a generalization of Banach Contraction Principle by introducing F- contractions in metric spaces. In the next ten years, a great number of researchers used Wardowski's...

Open Access Article

Retraction Note to "Numerical Solution to Unsteady One-Dimensional Convection-Diffusion Problems Using Compact Difference Schemes Combined with Runge-Kutta Methods" [Contemporary Mathematics, Volume 2 Issue 4 (2021) 399-408]

by Universal Wiser Publisher

ABSTRACT: The Editor-in-Chief and the publisher have retracted the following article: Zhu Z, Chen J. Numerical Solution to Unsteady One-Dimensional Convection-Diffusion Problems Using Compact Difference...