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A Cubic Spline Method for Solving Singularly-Perturbed Boundary-Value Problems

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2 Author(s)
Li-Bin Liu ; Fac. of Math. & Comput. Sci., Guangxi Univ. for Nat., Nanning, China ; Huan-Wen Liu

In this paper, a new difference scheme by using cubic splines for solving a singularly-perturbed two-point boundary-value problem for second-order ordinary differential equations is derived. The proposed scheme is fourth order accurate, which is better than previous published results. Finally, two numerical examples are solved to illustrate the efficiency of our method.

Published in:

Computational Sciences and Optimization, 2009. CSO 2009. International Joint Conference on  (Volume:1 )

Date of Conference:

24-26 April 2009