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  • 标题:Numerical solutions for the linear and nonlinear singular boundary value problems using Laguerre wavelets
  • 本地全文:下载
  • 作者:Fengying Zhou ; Xiaoyong Xu
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2016
  • 卷号:2016
  • 期号:1
  • 页码:17
  • DOI:10.1186/s13662-016-0754-1
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, a collocation method based on Laguerre wavelets is proposed for the numerical solutions of linear and nonlinear singular boundary value problems. Laguerre wavelet expansions together with operational matrix of integration are used to convert the problems into systems of algebraic equations which can be efficiently solved by suitable solvers. Illustrative examples are given to demonstrate the validity and applicability of this technique, and the results have been compared with the exact solutions.
  • 关键词:Laguerre wavelets ; collocation method ; singular boundary value problems ; operational matrix of integration
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