Journal of Function Spaces (Jan 2020)

Numerical Solution of a Class of Time-Fractional Order Diffusion Equations in a New Reproducing Kernel Space

  • Xiaoli Zhang,
  • Haolu Zhang,
  • Lina Jia,
  • Yulan Wang,
  • Wei Zhang

DOI
https://doi.org/10.1155/2020/1794975
Journal volume & issue
Vol. 2020

Abstract

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In this paper, we structure some new reproducing kernel spaces based on Jacobi polynomial and give a numerical solution of a class of time fractional order diffusion equations using piecewise reproducing kernel method (RKM). Compared with other methods, numerical results show the reliability of the present method.