Approximate Solution of Two-Dimensional Nonlinear Wave Equation by Optimal Homotopy Asymptotic Method

The two-dimensional nonlinear wave equations are considered. Solution to the problem is approximated by using optimal homotopy asymptotic method (OHAM). The residual and convergence of the proposed method to nonlinear wave equation are presented through graphs. The resultant analytic series solution...

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Bibliographic Details
Published in:Mathematical problems in engineering 2015-01, Vol.2015 (2015), p.1-7
Main Authors: Khan, Ilyas, Abdelhameed, Tarek Nabil Ahmed, Ching, Dennis Ling Chuan, Islam, S., Ullah, Hakeem, Fiza, Mehreen
Format: Article
Language:English
Subjects:
Approximation
Asymptotic methods
Asymptotic series
Convergence
Mathematical analysis
Mathematical problems
Nonlinearity
Optimization
Partial differential equations
Two dimensional
Two dimensional analysis
Wave equations
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Summary:The two-dimensional nonlinear wave equations are considered. Solution to the problem is approximated by using optimal homotopy asymptotic method (OHAM). The residual and convergence of the proposed method to nonlinear wave equation are presented through graphs. The resultant analytic series solution of the two-dimensional nonlinear wave equation shows the effectiveness of the proposed method. The comparison of results has been made with the existing results available in the literature.
ISSN:1024-123X
1563-5147
DOI:10.1155/2015/380104