Méthode d’approximation pour quelques problèmes dépendants du temps

Abstract

This work provides insight into the application of the Galerkin method for solving two boundary value problems. The first problem deals with bidimensional linear Schrödinger parabolic partial differential equations, and the second concerns a onedimensional hyperbolic telegraph equation. The differential equations are reduced to systems of algebraic equations. This study demonstrates that the proposed method is a very effective and powerful tool for solving such problems numerically. At the end, the method was tested on illustrative examples given in Maple for each problem.