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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| Veröffentlicht in: | Mathematical problems in engineering 2015-01, Vol.2015 (2015), p.1-7 |
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| container_issue | 2015 |
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| container_title | Mathematical problems in engineering |
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| creator | Khan, Ilyas Abdelhameed, Tarek Nabil Ahmed Ching, Dennis Ling Chuan Islam, S. Ullah, Hakeem Fiza, Mehreen |
| description | 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. |
| doi_str_mv | 10.1155/2015/380104 |
| format | Article |
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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.</description><identifier>ISSN: 1024-123X</identifier><identifier>EISSN: 1563-5147</identifier><identifier>DOI: 10.1155/2015/380104</identifier><language>eng</language><publisher>Cairo, Egypt: Hindawi Publishing Corporation</publisher><subject>Approximation ; Asymptotic methods ; Asymptotic series ; Convergence ; Mathematical analysis ; Mathematical problems ; Nonlinearity ; Optimization ; Partial differential equations ; Two dimensional ; Two dimensional analysis ; Wave equations</subject><ispartof>Mathematical problems in engineering, 2015-01, Vol.2015 (2015), p.1-7</ispartof><rights>Copyright © 2015 H. Ullah et al.</rights><rights>Copyright © 2015 H. Ullah et al. H. Ullah et al. 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| source | Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; Wiley Online Library Open Access; Alma/SFX Local Collection |
| subjects | Approximation Asymptotic methods Asymptotic series Convergence Mathematical analysis Mathematical problems Nonlinearity Optimization Partial differential equations Two dimensional Two dimensional analysis Wave equations |
| title | Approximate Solution of Two-Dimensional Nonlinear Wave Equation by Optimal Homotopy Asymptotic Method |
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