Solving variational problems by homotopy-perturbation method

In this paper, we consider some problems in calculus of variations. Homotopy–perturbation method (HPM) is adopted to obtain approximate analytical solutions to variational problems. The solutions are obtained in the form of rapidly convergent infinite series with easily computable terms. Numerical r...

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Bibliographic Details
Published in:International journal for numerical methods in engineering 2008-08, Vol.75 (6), p.709-721
Main Authors: Abdulaziz, O., Hashim, I., Chowdhury, M. S. H.
Format: Article
Language:English
Subjects:
calculus of variations
Calculus of variations and optimal control
Computational techniques
Euler-Lagrange equation
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
homotopy-perturbation method
Mathematical analysis
Mathematical methods in physics
Mathematics
Physics
Sciences and techniques of general use
variational problems
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Summary:In this paper, we consider some problems in calculus of variations. Homotopy–perturbation method (HPM) is adopted to obtain approximate analytical solutions to variational problems. The solutions are obtained in the form of rapidly convergent infinite series with easily computable terms. Numerical results reveal that HPM is very effective and simple for obtaining approximate solutions to variational problems. Copyright © 2008 John Wiley & Sons, Ltd.
ISSN:0029-5981
1097-0207
DOI:10.1002/nme.2279