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Solving singular second order three-point boundary value problems using reproducing kernel Hilbert space method

delete2009-11-01
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Fazhan Geng *
DOI:10.1016/j.amc.2009.08.002delete
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摘要

摘要

En 中文
This paper investigates the numerical solutions of singular second order three-point boundary value problems using reproducing kernel Hilbert space method. It is a relatively new analytical technique. The solution obtained by using the method takes the form of a convergent series with easily computable components. However, the reproducing kernel Hilbert space method cannot be used directly to solve a singular second order three-point boundary value problem, so we convert it into an equivalent integro-differential equation, which can be solved using reproducing kernel Hilbert space method. Four numerical examples are given to demonstrate the efficiency of the present method. The numerical results demonstrate that the method is quite accurate and efficient for singular second order three-point boundary value problems. (C) 2009 Elsevier Inc. All rights reserved.
Keyword:
Nonlinear
Singular three-point boundary value problem
Reproducing kernel Hilbert space method

期刊

Applied Mathematics and Computation 封面图
Applied Mathematics and Computation
IF:
3.4
论文数:
2.3W
被引数:
3.3W

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