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An efficient technique to find semi-analytical solutions for higher order multi-point boundary value problems

Author

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  • Kheybari, S.
  • Darvishi, M.T.

Abstract

A new semi-analytical algorithm is presented to solve general multi-point boundary value problems. This method can be applied on nth order linear, nonlinear, singular and nonsingular multi-point boundary value problems. Mathematical base of the method is presented; convergence of the method is proved. Also, the algorithm is applied to solve multi-point boundary value problems including nonlinear sixth-order, nonlinear singular second-order five-point boundary value problems, and a singularly perturbed boundary value problem. Comparison results show that the new method works more accurate than the other methods.

Suggested Citation

  • Kheybari, S. & Darvishi, M.T., 2018. "An efficient technique to find semi-analytical solutions for higher order multi-point boundary value problems," Applied Mathematics and Computation, Elsevier, vol. 336(C), pages 76-93.
    • Handle: RePEc:eee:apmaco:v:336:y:2018:i:c:p:76-93
    DOI: 10.1016/j.amc.2018.04.074
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    Cited by:

    1. Kheybari, Samad, 2021. "Numerical algorithm to Caputo type time–space fractional partial differential equations with variable coefficients," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 182(C), pages 66-85.
    2. Kheybari, Samad & Darvishi, Mohammad Taghi & Hashemi, Mir Sajjad, 2019. "Numerical simulation for the space-fractional diffusion equations," Applied Mathematics and Computation, Elsevier, vol. 348(C), pages 57-69.

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