分数边值问题的CHEBYSHEV小波数值解法

Hassan Khan, M. Arif, S. Mohyud-Din
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引用次数: 6

摘要

本文应用切比雪夫小波方法求解分数阶四阶、六阶和八阶线性和非线性边值问题的数值解。分数阶问题的解收敛于该问题的整数阶解。该算法成功地完成了计算工作,因此该算法可以推广到其他物理问题。本方法具有较高的精度。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
NUMERICAL SOLUTION OF FRACTIONAL BOUNDARY VALUE PROBLEMS BY USING CHEBYSHEV WAVELET METHOD
In this paper Chebyshev Wavelets Method (CWM) is applied to obtain the numerical solutions of fractional fourth, sixth and eighth order linear and nonlinear boundary value problems. The solutions of the fractional order problems are shown to be convergent to the integer order solution of that problem. The computational work is done successfully with the help of the proposed algorithm and hence this algorithm can be extended to other physical problems. High level of accuracy is obtained by the present method.
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