Approximate Solution of Nonlinear Multi-Point Boundary Value Problem on the Half-Line

Journal Title: Mathematical Modelling and Analysis - Year 2012, Vol 17, Issue 2

Abstract

In this work, we construct a novel weighted reproducing kernel space and give the expression of reproducing kernel function skillfully. Based on the orthogonal basis established in the reproducing kernel space, an efficient algorithm is provided to solve the nonlinear multi-point boundary value problem on the half-line. Uniformly convergence of the approximate solution and convergence estimation of our algorithm are studied. Numerical results show our method has high accuracy and efficiency.

Authors and Affiliations

Jing Niu, Ying Zhen Lin, Chi Ping Zhang

Keywords

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  • EP ID EP86551
  • DOI 10.3846/13926292.2012.660889
  • Views 67
  • Downloads 0

How To Cite

Jing Niu, Ying Zhen Lin, Chi Ping Zhang (2012). Approximate Solution of Nonlinear Multi-Point Boundary Value Problem on the Half-Line. Mathematical Modelling and Analysis, 17(2), 190-202. https://europub.co.uk/articles/-A-86551