Title :
A Cubic Spline Method for Solving Singularly-Perturbed Boundary-Value Problems
Author :
Liu, Li-Bin ; Liu, Huan-Wen
Author_Institution :
Fac. of Math. & Comput. Sci., Guangxi Univ. for Nat., Nanning, China
Abstract :
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.
Keywords :
boundary-value problems; differential equations; singularly perturbed systems; splines (mathematics); cubic spline method; second-order ordinary differential equations; singularly-perturbed boundary-value problems; Bandwidth; Boundary value problems; Computer science; Differential equations; Hydrogen; Interpolation; Mathematics; Optimization methods; Spline;
Conference_Titel :
Computational Sciences and Optimization, 2009. CSO 2009. International Joint Conference on
Conference_Location :
Sanya, Hainan
Print_ISBN :
978-0-7695-3605-7
DOI :
10.1109/CSO.2009.498
