Application of Sumudu Decomposition Method for Solving Linear and Nonlinear Klein-Gordon Equations
A. Ramadan1, S. Al-luhaibi2
1A. Ramadan, Department of Mathematics, Faculty of Science, Menoufia University, Egypt.
2S. Al-luhaibi, Department of Mathematics, Faculty of Science, Menoufia University, Egypt
Manuscript received on December 08, 2014. | Revised Manuscript received on December 15, 2014. | Manuscript published on January 05, 2014. | PP: 138-141 | Volume-3 Issue-6, January 2014. | Retrieval Number: F2026013614/2014©BEIESP
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© The Authors. Published By: Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: In this paper, Sumudu decomposition method is applied to solve various forms of linear and nonlinear Klein-Gordon equations. The technique is a combined form of the Sumudu transform method and the Adomian decomposition method. The nonlinear term can easily be handled with the help of Adomian polynomials which is considered to be a clear advantage of this technique. We illustrate this technique with the help of four examples. The results reveal that the proposed algorithm is very efficient, simple and can be applied to other nonlinear problems.
Keywords: Sumudu decomposition method; Sumudu transform; Adomian polynomials; Linear and nonlinear Klein-Gordon equations.