SOLVING SINGULAR NONLINEAR TWO-POINT BOUNDARY VALUE PROBLEMS IN THE REPRODUCING KERNEL SPACE

- Journal title : Journal of the Korean Mathematical Society
- Volume 45, Issue 3, 2008, pp.631-644
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/JKMS.2008.45.3.631

Title & Authors

SOLVING SINGULAR NONLINEAR TWO-POINT BOUNDARY VALUE PROBLEMS IN THE REPRODUCING KERNEL SPACE

Geng, Fazhan; Cui, Minggen;

Geng, Fazhan; Cui, Minggen;

Abstract

In this paper, we present a new method for solving a nonlinear two-point boundary value problem with finitely many singularities. Its exact solution is represented in the form of series in the reproducing kernel space. In the mean time, the n-term approximation to the exact solution u(x) is obtained and is proved to converge to the exact solution. Some numerical examples are studied to demonstrate the accuracy of the present method. Results obtained by the method are compared with the exact solution of each example and are found to be in good agreement with each other.

Keywords

exact solution;singular nonlinear boundary value problem;reproducing kernel;

Language

English

Cited by

1.

REPRODUCING KERNEL METHOD FOR SOLVING TENTH-ORDER BOUNDARY VALUE PROBLEMS,Geng, Fazhan;Cui, Minggen;

Journal of applied mathematics & informatics, 2010. vol.28. 3_4, pp.813-821

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