The subject of the article is devoted to the development of a matrix collocation technique
based upon the combination of the fractional-order shifted Vieta–Lucas functions (FSVLFs) …

This work aims to provide a new Galerkin algorithm for solving the fractional Rayleigh-
Stokes equation (FRSE). We select the basis functions for the Galerkin technique to be …

In this research paper, we address the time-fractional heat conduction equation in one
spatial dimension, subject to nonlocal conditions in the temporal domain. To tackle this …

In this article, we propose two numerical schemes for solving the time-fractional heat
equation (TFHE). The proposed methods are based on applying the collocation and tau …

This study utilizes a spectral tau method to acquire an accurate numerical solution of the
time-fractional diffusion equation. The central point of this approach is to use double basis …

This paper presents a new method to numerically solve the nonlinear time-fractional
generalized Kawahara equations (NTFGKE) with uniform initial boundary conditions (IBCs) …

This article presents a novel computational algorithm for solving the fractional pantograph
differential equation (FPDE). The algorithm is based on introducing a new family of …

On Linearization Coefficients of Shifted Jacobi Polynomials Page 1 Contemporary Mathematics
http://ojs.wiserpub.com/index.php/CM/ Research Article On Linearization Coefficients of Shifted …

Recursive and Explicit Formulas for Expansion and Connection Coefficients in Series of
Classical Orthogonal Polynomial Products Page 1 Contemporary Mathematics http://ojs.wiserpub.com/index.php/CM …

A novel (nonlinear) mathematical model for the transmission of Coronavirus 19 (COVID-19)
with eight compartments and considering the impact of vaccination is examined in this …