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Numerical Solution of a Class of Nonlinear Partial Differential Equations by Using Barycentric Interpolation Collocation Method

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  • Hongchun Wu
  • Yulan Wang
  • Wei Zhang

Abstract

Partial differential equations (PDEs) are widely used in mechanics, control processes, ecological and economic systems, chemical cycling systems, and epidemiology. Although there are some numerical methods for solving PDEs, simple and efficient methods have always been the direction that scholars strive to pursue. Based on this problem, we give the meshless barycentric interpolation collocation method (MBICM) for solving a class of PDEs. Four numerical experiments are carried out and compared with other methods; the accuracy of the numerical solution obtained by the present method is obviously improved.

Suggested Citation

  • Hongchun Wu & Yulan Wang & Wei Zhang, 2018. "Numerical Solution of a Class of Nonlinear Partial Differential Equations by Using Barycentric Interpolation Collocation Method," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-10, December.
    • Handle: RePEc:hin:jnlmpe:7260346
    DOI: 10.1155/2018/7260346
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    Cited by:

    1. Liu, Hongyan & Huang, Jin & Zhang, Wei, 2021. "Numerical algorithm based on extended barycentric Lagrange interpolant for two dimensional integro-differential equations," Applied Mathematics and Computation, Elsevier, vol. 396(C).

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