The main purpose of this work is to study the numerical solution of a time fractional partial
integro-differential equation of Volterra type, where the time derivative is defined in Caputo …

In this paper, the meshless local Petrov–Galerkin (MLPG) method is employed to solve the 2-
D time-dependent Maxwell equations. The MLPG method is a truly meshless method in …

This article is concerned with Riemann-Liouville fractional semilinear integrodifferential
systems with damping in Banach spaces. First we prove the existence of mild solutions of …

The Maxwell equations are basic equations of electromagnetic. In this paper we employed
ADI–LRPIM (alternative direction implicit method is applied for approximating the time …

The spectral method is proposed for the partial integro-differential equations with a weakly
singular kernel on irregular domains. The space discretization is based on the nodal …

In this work, we introduce an integration matrix operator that is fully consistent with the
differentiation matrix operator defined by the differential quadrature method (DQM). Using …

A collocation method based on linear Legendre multiwavelets is developed for numerical
solution of one‐dimensional parabolic partial integrodifferential equations of diffusion type …

The numerical approximation of solution to nonlinear parabolic Volterra and Fredholm
partial integro-differential equations is studied in this paper. Unlike the conventional …

This article develops and analyses a conforming virtual element scheme for the spatial
discretization of parabolic integro-differential equations combined with backward Euler's …

In this paper, a collocation method based on Haar wavelet is developed for numerical
solution of diffusion and reaction–diffusion partial integro-differential equations. The …