A lagrange regularized kernel method for solving multi-dimensional time-fractional heat equations

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Peer-Reviewed Research
  • SDG 13
  • SDG 8
  • SDG 7
  • Abstract:

    Evolution equations containing fractional derivatives can provide suitable mathematical models for describing important physical phenomena. In this paper, we propose an accurate method for numerical solutions of multi-dimensional time-fractional heat equations. The proposed method is based on a fractional exponential integrator scheme in time and the Lagrange regularized kernel method in space. Numerical experiments show the effectiveness of the proposed approach.