Affiliation:
1. School of Mathematics and Statistics, Shandong Normal University, Jinan 250358, China
Abstract
In this paper, we use the finite volume element method (FVEM) to approximate a one-dimensional, time fractional generalized Burgers’ equation. We construct the fully discrete finite volume element scheme for this equation by approximating the time fractional derivative term by the L1 formula and approximating the spatial terms using FVEM. The convergence of the scheme is proven. Finally, numerical examples are provided to confirm the scheme’s validity.
Funder
National Science Foundation of China
Subject
Statistics and Probability,Statistical and Nonlinear Physics,Analysis
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