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 76
- Downloads 0
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Approximate Solution of Nonlinear Multi-Point Boundary Value Problem on the Half-Line
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 effici...