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

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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\textit{F. Z. Geng}, J. Comput. Appl. Math. 236, No. 7, 1789--1794 (2012; Zbl 1241.65067)

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### References:

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