The Series Solution of Problems in the Calculus of Variations via the Homotopy Analysis Method

Saeid Abbasbandy; Ahmand Shirzadi

doi:10.1515/zna-2009-1-205

Open Access Published by De Gruyter June 2, 2014

The Series Solution of Problems in the Calculus of Variations via the Homotopy Analysis Method

Saeid Abbasbandy and Ahmand Shirzadi

From the journal Zeitschrift für Naturforschung A

https://doi.org/10.1515/zna-2009-1-205

The homotopy analysis method (HAM) is used for solving the ordinary differential equations which arise from problems of the calculus of variations. Some numerical results are given to demonstrate the validity and applicability of the presented technique. The method is very effective and yields very accurate results.

Keywords: Calculus of Variations; Euler-Lagrange Equation; Homotopy Analysis Method

Received: 2008-6-5

Revised: 2008-7-15

Published Online: 2014-6-2

Published in Print: 2009-2-1

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

The Series Solution of Problems in the Calculus of Variations via the Homotopy Analysis Method

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