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 | |
【 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.
【 授权许可】
Free
【 预 览 】
Files | Size | Format | View |
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10_1016_j_jmaa_2010_07_012.pdf | 375KB | download |