Recently, operational matrices were adapted for solving several kinds of fractional
differential equations (FDEs). The use of numerical techniques in conjunction with …

In this paper, we propose and analyze an efficient operational formulation of spectral tau
method for multi-term time–space fractional differential equation with Dirichlet boundary …

In this paper, we derived the shifted Jacobi operational matrix (JOM) of fractional derivatives
which is applied together with spectral tau method for numerical solution of general linear …

A spectral method is developed for the direct solution of linear ordinary differential equations
with variable coefficients and general boundary conditions. The method leads to matrices …

In this work, we give new explicit solutions for the connection problems between generalized
Lucas polynomial sequence and the two polynomials, namely third and fourth kinds of …

It is well known that for the discretization of the biharmonic operator with spectral methods
(Galerkin, tau, or collocation) we have a condition number of O (N8), where N is the number …

The current manuscript focuses on solving systems of multi-pantograph equations. The
spectral tau method is applied for solving systems of multi-pantograph equations with shifted …

This paper presents a shifted fractional‐order Jacobi orthogonal function (SFJF) based on
the definition of the classical Jacobi polynomial. A new fractional integral operational matrix …

Herein, we propose a numerical scheme to solve spectrally hyperbolic partial differential
equations (HPDEs) using Galerkin method and approximate the solutions using double …

Distributed-order fractional differential operators provide a powerful tool for mathematical
modeling of multiscale multiphysics processes, where the differential orders are distributed …