文章基本信息

标题：Haar Wavelet-Picard technique for fractional order nonlinear initial and boundary value problems
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作者：Umer Saeed ; Mujeeb ur Rejman ; Muhammad Asad Iqbal 等
期刊名称：Scientific Research and Essays
印刷版ISSN：1992-2248
出版年度：2014
卷号：9
期号：12
页码：571-580
DOI：10.5897/SRE2013.5777
语种：English
出版社：Academic Journals
摘要：In this article, a technique called Haar wavelet-Picard technique is proposed to get the numerical solutions of nonlinear differential equations of fractional order. Picard iteration is used to linearize the nonlinear fractional order differential equations and then Haar wavelet method is applied to linearized fractional ordinary differential equations. In each iteration of Picard iteration, solution is updated by the Haar wavelet method. The results are compared with the exact solution.
关键词：Fractional differential equations; Wavelet analysis; Caputo derivative; Haar wavelets; Picard iteration