Haar Wavelet Method for Solving the Klein-Gordon and the Sine-Gordon Equations
نویسنده
چکیده
Abstract: Haar wavelet method for solving the Klein–Gordon and the sine-Gordon equations has been implemented. Application to partial differential equations is exemplified by solving the sine-Gordon equation. The efficiency of the method is demonstrated by five numerical examples. Computer simulation is carried out for problems the exact solution of which is known. This allows us to estimate the precision of the obtained numerical results. High accuracy of the results even in the case of a small number of collocation points is observed. The power of the manageable method is confirmed.
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