PENGGUNAAN METODE DEKOMPOSISI ADOMIAN UNTUK MENYELESAIKAN PERMASALAHAN PADA KALKULUS VARIASI

Abstract

This article discusses the use of Adomian decomposition method to solve a variational problem in calculus of variation with known boundary conditions. Process begins by changing the variational problem into Euler-Lagrange equation, and then Adomian decomposition method is applied to the Euler-Lagrange equation. The obtained solution with this method is in a form of convergent power series. Comparison between the solutions obtained by Adomian decomposition method and the exact solution show the efficiency of the Adomian decomposition method.