Affiliation:
1. School of Mathematics and Systems Science & LMIB, Beihang University, Beijing, China, 100191
Abstract
Abstract:We consider the initial value problem of the time fractional diffusion equation on the whole line and the fractional derivative is described in Caputo sense. A fully discrete Hermite pseudospectral approximation scheme is structured basing Hermite-Gauss points in space and finite difference in time. Unconditionally stability and convergence are proved. Numerical experiments are presented and the results conform to our theoretical analysis.
Subject
Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modelling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics
Reference42 articles.
1. Extended algorithms for approximating variable order fractional derivatives with applications;Moghaddam;Sci Comput,2017
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2 articles.
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