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Babolian, E. and Fattahzadeh, F. (2007) Numerical Solution of Differential Equations by Using Chebyshev Wavelet Operational Matrix of Integration. Applied Mathematics and Computation, 188, 417-426.
http://dx.doi.org/10.1016/j.amc.2006.10.008

has been cited by the following article:

• TITLE: Numerical Solution of Klein/Sine-Gordon Equations by Spectral Method Coupled with Chebyshev Wavelets

  AUTHORS: Javid Iqbal, Rustam Abass

  KEYWORDS: Chebyshev Wavelets, Spectral Method, Operational Matrix of Derivative, Klein and Sine-Gordon Equations, Numerical Simulation, MATLAB

  JOURNAL NAME: Applied Mathematics, Vol.7 No.17, November 15, 2016

  ABSTRACT: The basic aim of this paper is to introduce and describe an efficient numerical scheme based on spectral approach coupled with Chebyshev wavelets for the approximate solutions of Klein-Gordon and Sine-Gordon equations. The main characteristic is that, it converts the given problem into a system of algebraic equations that can be solved easily with any of the usual methods. To show the accuracy and the efficiency of the method, several benchmark problems are implemented and the comparisons are given with other methods existing in the recent literature. The results of numerical tests confirm that the proposed method is superior to other existing ones and is highly accurate