A new approach for solving nonlinear singular boundary value problems

    Hui Zhu Info
    Jing Niu Info
    Ruimin Zhang Info
    Yingzhen Lin Info
DOI: https://doi.org/10.3846/mma.2018.003

Abstract

In this paper, an e_cient method based on Quasi-Newton's method and the simpli_ed reproducing kernel method is proposed for solving nonlinear singular boundary value problems. For the Quasi-Newton's method the convergence order is studied. The uniform convergence of the numerical solution as well as its derivatives are also proved. Numerical examples are given to demonstrate the e_ciency and stability of the proposed method. The numerical results are compared with exact solutions and the outcomes of other existing numerical methods.

Keywords:

nonlinear singular boundary value problem, numerical solution, Quasi-Newton's method, reproducing kernel method

How to Cite

Zhu, H., Niu, J., Zhang, R., & Lin, Y. (2018). A new approach for solving nonlinear singular boundary value problems. Mathematical Modelling and Analysis, 23(1), 33-43. https://doi.org/10.3846/mma.2018.003

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February 20, 2018
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2018-02-20

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How to Cite

Zhu, H., Niu, J., Zhang, R., & Lin, Y. (2018). A new approach for solving nonlinear singular boundary value problems. Mathematical Modelling and Analysis, 23(1), 33-43. https://doi.org/10.3846/mma.2018.003

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