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A Numerical Method for a Singularly Perturbed Three-Point Boundary Value Problem

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  • Musa Çakır
  • Gabil M. Amiraliyev

Abstract

The purpose of this paper is to present a uniform finite difference method for numerical solution of nonlinear singularly perturbed convection-diffusion problem with nonlocal and third type boundary conditions. The numerical method is constructed on piecewise uniform Shishkin type mesh. The method is shown to be convergent, uniformly in the diffusion parameter ε , of first order in the discrete maximum norm. Some numerical experiments illustrate in practice the result of convergence proved theoretically.

Suggested Citation

  • Musa Çakır & Gabil M. Amiraliyev, 2010. "A Numerical Method for a Singularly Perturbed Three-Point Boundary Value Problem," Journal of Applied Mathematics, Hindawi, vol. 2010, pages 1-17, June.
    • Handle: RePEc:hin:jnljam:495184
    DOI: 10.1155/2010/495184
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    Cited by:

    1. Chen, Shu-Bo & Soradi-Zeid, Samaneh & Dutta, Hemen & Mesrizadeh, Mehdi & Jahanshahi, Hadi & Chu, Yu-Ming, 2021. "Reproducing kernel Hilbert space method for nonlinear second order singularly perturbed boundary value problems with time-delay," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).

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