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Zbl 1186.65104
Kumar, Manoj; Gupta, Yogesh
Methods for solving singular boundary value problems using splines: a review. (English)
[J] J. Appl. Math. Comput. 32, No. 1, 265-278 (2010). ISSN 1598-5865; ISSN 1865-2085/e

Summary: This paper surveys and reviews papers of spline solutions of singular boundary value problems. Among a number of numerical methods used to solve two-point singular boundary value problems, spline methods provide an efficient tool. Techniques collected in this paper include cubic splines, non-polynomial splines, parametric splines, B-splines and the two-parameter alternating group explicit method.

MSC 2000:: *65L10 Boundary value problems for ODE (numerical methods)
65-02 Research monographs (numerical analysis)
65L12 Finite difference methods for ODE
34B16 Singular nonlinear boundary value problems

Keywords: singular boundary value problems; quasi-linearization; splines; B-spline; finite difference method; survey article; polynomial splines; parametric splines; two-parameter alternating group explicit method

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