文章基本信息

标题：A numerical method for solving singular fractional Lane–Emden type equations
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作者：A. Kazemi Nasab ; A. Kazemi Nasab ; Z. Pashazadeh Atabakan 等
期刊名称：Journal of King Saud University - Science
印刷版ISSN：1018-3647
出版年度：2018
卷号：30
期号：1
页码：120-130
DOI：10.1016/j.jksus.2016.10.001
语种：English
出版社：Elsevier
摘要：AbstractIn this paper, a hybrid numerical method combining Chebyshev wavelets and a finite difference approach is developed to obtain solutions of singular fractional Lane–Emden type equations. The properties of the Chebyshev wavelets and finite difference approaches are used to convert the problem under consideration into a system of algebraic equations which can be conveniently solved by suitable algorithms. A comparison of results obtained using the present strategy and those reported using other techniques seems to indicate the precision and computational effectiveness of the proposed hybrid method.
关键词：Chebyshev wavelets;Finite difference method;Fractional Lane–Emden;Singular problems;Initial and boundary value problems