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[01090] A high order approximation scheme for non-linear time fractional reaction-diffusion equation

  • Session Time & Room : 3D (Aug.23, 15:30-17:10) @G402
  • Type : Contributed Talk
  • Abstract : We discuss a high order numerical scheme for the non-linear time fractional reaction-diffusion equation of order $\alpha\in (0, 1)$. A cubic approximation and compact finite difference schemes are used to approximate the time-fractional and spatial derivatives respectively. The numerical scheme achieves convergence rate of order $4-\alpha$ in the temporal direction and $4$ in the spatial direction. Further, numerical experimentation is performed to demonstrate the authenticity of the proposed numerical scheme.
  • Classification : 26A33, 35R11, 35A35
  • Format : Online Talk on Zoom
  • Author(s) :
    • Rajesh Kumar Pandey (Indian Institute of Technology (BHU) Varanasi)
    • Deeksha Singh (Indian Institute of Technology (BHU) Varanasi)