| Authors | Abbas Saadatmandi, Tahereh Abdolahi Niasar |
|---|---|
| Journal | Computational Methods for Differential Equations |
| Page number | 140-152 |
| Volume number | 2 |
| Paper Type | Full Paper |
| Published At | 2015 |
| Journal Grade | Scientific - research |
| Journal Type | Typographic |
| Journal Country | Iran, Islamic Republic Of |
Abstract
The Euler-Lagrange equation plays an important role in the minimization problems of the calculus of variations. This paper employs the dierential transformation method (DTM) fornding the solution of the Euler-Lagrange equation which arise from problems of calculus of variations. DTM provides an analytical solution in the form of an innite power series with easily computable components. Several illustrative examples are given to demonstrate the effectiveness of the present method.