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[00853] Numerical Approximation of Fractional Burgers Equation with Non-singular Time-Derivatives

  • Session Time & Room : 3E (Aug.23, 17:40-19:20) @E504
  • Type : Contributed Talk
  • Abstract : Fractional Burgers equation (FBE) is a partial differential equation being non-linear in space. This work presents a numerical method to solve a time-FBE with second order of convergence. The fractional time-derivative is taken as non-singular derivative whose kernel contains the Mittag-Leffler function. The discretization of derivatives is done by using finite difference method and Newton iteration method. Developed numerical scheme is stable and convergent in L^∞ norm. Examples have been illustrated to validate the theory.
  • Classification : 26A33, 65R10, 35R11
  • Format : Online Talk on Zoom
  • Author(s) :
    • Swati Yadav (NTNU Trondheim)
    • Swati Yadav (NTNU Trondheim)
    • Rajesh Kumar Pandey (IIT BHU, Varanasi)