A numerical algorithm for nonlinear multi-point boundary value problems. (English) Zbl 1241.65067

Geng, F. Z.

J. Comput. Appl. Math. 236, No. 7, 1789-1794 (2012).

Summary: An algorithm is presented for solving second-order nonlinear multi-point boundary value problems. The method is based on an iterative technique and the reproducing kernel method. Two numerical examples are provided to show the reliability and efficiency of the present method.

MSC:

65L10	Numerical solution of boundary value problems involving ordinary differential equations
34B15	Nonlinear boundary value problems for ordinary differential equations
34B10	Nonlocal and multipoint boundary value problems for ordinary differential equations
46E22	Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces)

Keywords:

reproducing kernel method; iterative technique; multi-point boundary value problem; algorithm; numerical examples

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