Spline Finite Difference Methods and Their Extrapolation for Singular Two-Point Boundary Value Problems
Year: 1993
Author: Guo-Qiang Han
Journal of Computational Mathematics, Vol. 11 (1993), Iss. 4 : pp. 289–296
Abstract
In this paper we consider a class of singular two-point boundary value problem: $(x^αu')'=f(x,u),u(0)=A,u(1)=B,0＜α＜1$. The asymptotic expression of the spline finite difference solution for the problem is obtained. By using the asymptotic expression, Richardson's extrapolation can be done and the accuracy of numerical solution can be improved. Some numerical examples are given in illustration of this theory.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1993-JCM-9327
Journal of Computational Mathematics, Vol. 11 (1993), Iss. 4 : pp. 289–296
Published online: 1993-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 8