Malaysian Journal of Mathematical Sciences, May 2017, Vol. 11, No. 2
Laguerre Polynomial Approach for Solving Nonlinear Klein-Gordon Equations
Gürbüz, B. and Sezer, M.
Corresponding Email: burcugrbz@gmail.com
Received date: 28 September 2016
Accepted date: 10 May 2017
Abstract:
In this work, we develop a matrix method based on collocation points and Laguerre polynomials to obtain the numerical approximations of the onedimensional nonlinear Klein-Gordon equations. The method is applied on some numerical examples. Also, the numerical results and their exact solutions are compared with other applications. The accuracy and the effectiveness of the method are demonstrated by the results.
Keywords: Nonlinear Klein-Gordon equations, Laguerre matrix method, Laguerre polynomials and series with two variables, Collocation points
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