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A Meshfree Method for Numerical Solution of Nonhomogeneous Time-Dependent Problems

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  • Ziwu Jiang
  • Lingde Su
  • Tongsong Jiang

Abstract

We propose a new numerical meshfree scheme to solve time-dependent problems with variable coefficient governed by telegraph and wave equations which are more suitable than ordinary diffusion equations in modelling reaction diffusion for such branches of sciences. Finite difference method is adopted to deal with time variable and its derivative, and radial basis functions method is developed for spatial discretization. The results of numerical experiments are presented and are compared with analytical solutions to confirm the accuracy of our scheme.

Suggested Citation

  • Ziwu Jiang & Lingde Su & Tongsong Jiang, 2014. "A Meshfree Method for Numerical Solution of Nonhomogeneous Time-Dependent Problems," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-11, July.
    • Handle: RePEc:hin:jnlaaa:978310
    DOI: 10.1155/2014/978310
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