This paper develops a well-conditioned Jacobi spectral Galerkin method for the analysis of
Volterra-Hammerstein integral equations with weakly singular kernels and proportional …

This paper presents a numerical iterative method for the approximate solutions of nonlinear
Volterra integral equations of the second kind, with weakly singular kernels. We derive …

The main concern of this paper is to develop and analyze an operational Tau method for
obtaining the numerical solution of fractional weakly singular integro-differential equations …

The objective of the present work is to introduce a computational approach employing
Chebyshev Tau method for approximating the solutions of constant coefficients systems of …

The main purpose of this study is to develop and analyze a new high-order operational Tau
method based on the Chebyshev polynomials as basis functions for obtaining the numerical …

In this paper, we provide an approximate approach based on the Galerkin method to solve a
class of nonlinear fractional differential algebraic equations. The fractional derivative …

This paper presents a novel Petrov-Galerkin method for a class of linear systems of
fractional differential equations. New fractional-order generalized Jacobi functions are …

In this paper, a reliable Jacobi Galerkin method is developed and analyzed to solve a
particular class of cordial Volterra integral equations. Existence and uniqueness theorems …

This paper presents a spectral Tau method based on Müntz–Jacobi basis functions for
approximating the solutions of fractional order Volterra integro-differential algebraic …

This paper is devoted to a high-order Legendre collocation approximation for solving
fractional-order linear semi-explicit differential algebraic equations numerically. We discuss …