A computational approach based on finite difference scheme and a redefinedextendedb-splinefunctions is presented to study the approximate solution of time fractional advection diffusion equation. The Caputo time-fr...
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A computational approach based on finite difference scheme and a redefinedextendedb-splinefunctions is presented to study the approximate solution of time fractional advection diffusion equation. The Caputo time-fractional derivative and redefinedextendedb-splinefunctions have been used for the time and spatial discretization, respectively. The numerical scheme is shown to be O(h(2) + Delta t(2-alpha)) accurate and unconditionally stable. The proposed method is tested through some numerical experiments involving homogeneous/non-homogeneous boundary conditions which concluded that it is more accurate than existing methods. The simulation results show superior agreement with the exact solution as compared to existing methods. (C) 2020 The Authors. Published by Elsevier b.V. on behalf of Faculty of Engineering, Alexandria University.
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