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[01079] Higher order numerical scheme to approximation generalized Caputo fractional derivatives and its application

  • Session Time & Room : 2C (Aug.22, 13:20-15:00) @G710
  • Type : Contributed Talk
  • Abstract : In this paper, a high-order numerical scheme is established to approximate the generalized Caputo fractional derivative using Lagrange interpolation formula. Order of convergence for this scheme is obtained as (4 − α), where α ∈ (0, 1) is the order of generalized Caputo fractional derivative. The local truncation error of the approximation is also obtained. Further, the developed scheme is used to solve the generalized fractional advection-diffusion equation. Stability and convergence are also discussed for the difference scheme. In the last, numerical examples are discussed to illustrate the theoretical results.
  • Classification : 35R11, 26A33, 65R10
  • Format : Online Talk on Zoom
  • Author(s) :
    • Sarita kumari (Indian Institute of technology (Banaras Hindu University))
    • Dr. Rajesh Kumar Pandey (Indian Institute of Technology (BHU) Varanasi)