Approximate Solution of Two-Dimensional Nonlinear Wave Equation by Optimal Homotopy Asymptotic Method. (23rd February 2015)

• Record Type: Journal Article
• Authors: Ullah, H.; Islam, S.; Dennis, L. C. C.; Abdelhameed, T. N.; Khan, I.; Fiza, M.
• Other Names: Kar Haranath Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2015(2015)
• Publication Date: 2015-02-23
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2015/380104
• Languages: English
• ISSNs: 1024-123X

Abstract

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.