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Zbl 1103.65086
Ravi Kanth, A.S.V.; Reddy, Y.N.
Cubic spline for a class of singular two-point boundary value problems. (English)
[J] Appl. Math. Comput. 170, No. 2, 733-740 (2005). ISSN 0096-3003

Summary: We present 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.
MSC 2000:
*65L10 Boundary value problems for ODE (numerical methods)

Keywords: Ordinary differential equations; Singular point; Two-point boundary value problem; Cubic spline

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