期刊论文详细信息
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 卷:372
Asymptotic expansions of Bessel, Anger and Weber transformations
Article
Chen, Ruyun1,2  Liang, Ximing1 
[1] Cent S Univ, Inst Informat Sci & Engn, Changsha 410083, Hunan, Peoples R China
[2] Guangdong Ocean Univ, Coll Sci, Zhanjiang 524088, Guangdong, Peoples R China
关键词: Homotopy perturbation method;    Bessel transformation;    Oscillatory integrals;    Numerical quadrature;   
DOI  :  10.1016/j.jmaa.2010.07.012
来源: Elsevier
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【 摘 要 】

In this paper we explore higher order numerical quadrature for the integrations of systems containing Bessel, Anger and Weber functions. The method is constructed by finding the approximate solution of the differential equation and truncating the asymptotic series. Numerical examples based on theoretical results are presented to demonstrate the efficiency of the method. (C) 2010 Elsevier Inc. All rights reserved.

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