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

作　　者：Javid Iqbal Rustam Abass Javid Iqbal;Rustam Abass(Department of Mathematical Sciences, BGSB University, Rajouri, India)

机构地区：[1]Department of Mathematical Sciences, BGSB University, Rajouri, India

出　　处：《Applied Mathematics》2016年第17期2097-2109,共13页应用数学（英文）

摘　　要：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 accurateThe 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

关 键 词：Chebyshev Wavelets Spectral Method Operational Matrix of Derivative Klein and Sine-Gordon Equations Numerical Simulation MATLAB 

分 类 号：O17[理学—数学]