PENGGUNAAN METODE DEKOMPOSISI ADOMIAN UNTUK MENYELESAIKAN PERMASALAHAN PADA KALKULUS VARIASI
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Date
2016-04-27
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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.
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Keywords
Adomian decomposition method, calculus of variation, variational problem, Euler-Lagrange equation