Étude Numérique des Équations Intégrales de Volterra de Deux Dimensions.

Abstract

In this dissertation , Taylor collocation method is applied to obtain the approximate solution for two-dimensional linear Volterra integral equations. An algorithm based on the use of Taylor polynomials is developed for the numerical solution of this kind of equations. We also provide a rigorous error analysis which justifies that the errors of the approximate solution of the exact solution. Numerical examples are included to prove the validity and the efficacy of the presented convergent algorithm.