In this paper, we propose and analyze a spectral Jacobi-collocation method for the
numerical solution of general linear fractional integro-differential equations. The fractional …

In this paper, an efficient matrix method based on 2D orthonormal Bernoulli polynomials are
developed to obtain numerical solution of weakly singular fractional partial integro …

In this paper we propose and analyze fractional spectral methods for a class of integro-
differential equations and fractional differential equations. The proposed methods make new …

In this paper, a new matrix method based on Fibonacci polynomials and collocation points is
proposed for numerically solving the Volterra–Fredholm integral equations. In fact, the …

This work is to provide spectral and pseudo-spectral Jacobi-Galerkin approaches for the
second kind Volterra integral equation. The Gauss-Legendre quadrature formula is used to …

We introduce a multistep Legendre--Gauss spectral collocation method for the nonlinear
Volterra integral equations of the second kind. This method is easy to implement and …

In this paper we propose and analyze a fractional Jacobi-collocation spectral method for the
second kind Volterra integral equations (VIEs) with weakly singular kernel (xs)^-μ, 0< μ< 1 …

In this paper, the Taylor collocation method is presented for numerically solving the Volterra–
Fredholm integral equations in terms of Taylor polynomials. This method transforms the …

In this paper, we review some results on the spectral methods. We first consider the Jacobi
spectral method and the generalized Jacobi spectral method for various problems, including …

This work is to analyze a spectral Jacobi-collocation approximation for Volterra integral
equations with singular kernel ϕ (t, s)=(t− s)− µ. In an earlier work of Y. Chen and T. Tang [J …