A New Approach to Numerical Solution of Nonlinear Klein-Gordon Equation. (26th June 2013)

• Record Type: Journal Article
• Authors: Bülbül, Berna; Sezer, Mehmet
• Other Names: Momoniat Ebrahim Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2013(2013)
• Publication Date: 2013-06-26
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2013/869749
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : A numerical method based on collocation points is developed to solve the nonlinear Klein-Gordon equations by using the Taylor matrix method. The method is applied to some test examples and the numerical results are compared with the exact solutions. The results reveal that the method is very effective, simple, and convenient. In addition, an error estimation of proposed method is presented.