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Numerical Solution of Fractional Order Anomalous Subdiffusion Problems Using Radial Kernels and Transform

Author

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  • Muhammad Taufiq
  • Marjan Uddin
  • Ahmet Ocak Akdemir

Abstract

By coupling of radial kernels and localized Laplace transform, a numerical scheme for the approximation of time fractional anomalous subdiffusion problems is presented. The fractional order operators are well suited to handle by Laplace transform and radial kernels are also built for high dimensions. The numerical computations of inverse Laplace transform are carried out by contour integration technique. The computation can be done in parallel and no time sensitivity is involved in approximating the time fractional operator as contrary to finite differences. The proposed numerical scheme is stable and accurate.

Suggested Citation

  • Muhammad Taufiq & Marjan Uddin & Ahmet Ocak Akdemir, 2021. "Numerical Solution of Fractional Order Anomalous Subdiffusion Problems Using Radial Kernels and Transform," Journal of Mathematics, Hindawi, vol. 2021, pages 1-9, July.
    • Handle: RePEc:hin:jjmath:9965734
    DOI: 10.1155/2021/9965734
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