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[00111] A convergent numerical method for time-fractional reaction-diffusion equation

  • Session Time & Room : 1E (Aug.21, 17:40-19:20) @E702
  • Type : Contributed Talk
  • Abstract : This paper design and analyze a robust finite difference scheme for solving a time-fractional reaction-diffusion equation with smooth and non-smooth solutions. The solution of this equation exhibits a weak singularity at the initial time $\mathrm{t}=0$. So we use graded temporal mesh in order to handle the singularity. We discretize the space variable using a cubic polynomial spline difference scheme. Further, the stability and convergence for both the smooth and non-smooth solutions are analyzed separately.
  • Classification : 65M06, 65M12
  • Format : Online Talk on Zoom
  • Author(s) :
    • Anshima Singh (Indian Institute of Technology (BHU) Varanasi)