Analytical approximate solutions of systems of algebraic-differential equations by Laplace homotopy analysis method

Abstract

This paper presents a numerical technique for solving system of algebraic-differential equations by employing the Laplace homotopy analysis method (LHAM). The biggest advantage over the existing standard analytical techniques is that it overcomes the di¢ culty arising in calculating complicated terms. Numerical examples are examined to highlight the signi.cant features of this method. Moreover, the solution procedure is easier, more effective and straightforward.