In this study, a Legendre collocation matrix method is presented to solve high-order Linear
Fredholm integro-differential equations under the mixed conditions in terms of Legendre …

In this paper, an operational matrix formulation of the Tau method is herein discussed to
solve a class of delay fractional integro–differential equations. The approximate solution is …

A Chebyshev finite difference method has been proposed in order to solve linear and
nonlinear second-order Fredholm integro-differential equations. The approach consists of …

This paper reports a spectral tau method for numerically solving multi-point boundary value
problems (BVPs) of linear high-order ordinary differential equations. The construction of the …

In this work, we propose an extension of the algebraic formulation of the Tau method for the
numerical solution of the nonlinear Volterra-Hammerstein integral equations. This extension …

This paper provides with a generalization of the work by Cattani (Math. Probl. Eng.(2008) 1–
24), who has introduced the connection coefficients of the Shannon wavelets. We apply the …

A numerical method based on quintic B-spline has been developed to solve the linear and
nonlinear Fredholm and Volterra integro-differential equations up to order 4. The solution …

In this paper, we consider a general form of two-dimensional linear Volterra integro-
differential equations (TDLVIDE) of the second order with some sup-plementary conditions …

This research purposely brought up to solve complicated equations such as partial
differential equations, integral equations, Integro-Differential Equations (IDE), stochastic …

In this research a numerical technique is developed for the one-dimensional heat equation
that combines classical and integral boundary conditions. New matrix formulation …