Laguerre Polynomial Approach for Solving Nonlinear Klein-Gordon Equations

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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.

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