Approximate Solution of Two-Dimensional Nonlinear Wave Equation by Optimal Homotopy Asymptotic MethodReport as inadecuate




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Mathematical Problems in Engineering - Volume 2015 2015, Article ID 380104, 7 pages -

Research Article

Department of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, Pakistan

Department of Fundamental and Applied Sciences, Universiti Teknologi PETRONAS, 31750 Perak, Malaysia

College of Engineering Majmaah University, Majmaah, Saudi Arabia

Mathematics Department, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt

Received 2 October 2014; Revised 17 December 2014; Accepted 18 December 2014

Academic Editor: Haranath Kar

Copyright © 2015 H. Ullah et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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.





Author: H. Ullah, S. Islam, L. C. C. Dennis, T. N. Abdelhameed, I. Khan, and M. Fiza

Source: https://www.hindawi.com/



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