A Numerical Solution Of Singular IntegroDifferential Equations Via Legendre Wavelets Metho

Abstract

A numerical method for solving a weakly singular partial integro-differential
equation is presented. The proposed method is based on the Legendre wavelet in which
Legendre polynomial is used. First, using Taylor’s approximation to remove the singularity
of the kernel, then we use the 2-point Euler backward differentiation formula. Finally, we use
collocation points that convert the differential equation into a system of algebraic equations.
Illustrative examples are founded to prove the verity and applicability of the method.