Cubic spline for a class of singular two-point boundary value problems

In this paper we have presented a method based on cubic splines for solving a class of singular two-point boundary value problems. The original differential equation is modified at the singular point then the boundary value problem is treated by using cubic spline approximation. The tridiagonal syst...

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Bibliographic Details
Published in:Applied mathematics and computation 2005-11, Vol.170 (2), p.733-740
Main Authors: Ravi Kanth, A.S.V., Reddy, Y.N.
Format: Article
Language:English
Subjects:
Cubic spline
Exact sciences and technology
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Ordinary differential equations
Sciences and techniques of general use
Singular point
Two-point boundary value problem
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Summary:In this paper we have presented a method based on cubic splines for solving a class of singular two-point boundary value problems. The original differential equation is modified at the singular point then the boundary value problem is treated by using cubic spline approximation. The tridiagonal system resulting from the spline approximation is efficiently solved by Thomas algorithm. Some model problems are solved, and the numerical results are compared with exact solution.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2004.12.049