[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.
