Numerical solutions for the linear and nonlinear singular boundary value problems using Laguerre wavelets

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• 作者：Fengying Zhou ; Xiaoyong Xu
• 关键词：42C40 ; 65D30 ; Laguerre wavelets ; collocation method ; singular boundary value problems ; operational matrix of integration
• 刊名：Advances in Difference Equations
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：2016
• 期：1
• 全文大小：1,413 KB
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• 作者单位：Fengying Zhou (1)
  Xiaoyong Xu (1)
  
  1. School of Science, East China University of Technology, Nanchang, 330013, P.R. China
  
• 刊物主题：Difference and Functional Equations; Mathematics, general; Analysis; Functional Analysis; Ordinary Differential Equations; Partial Differential Equations;
• 出版者：Springer International Publishing
• ISSN：1687-1847

文摘

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. Keywords Laguerre wavelets collocation method singular boundary value problems operational matrix of integration