期刊
SIAM JOURNAL ON NUMERICAL ANALYSIS
卷 45, 期 2, 页码 572-591出版社
SIAM PUBLICATIONS
DOI: 10.1137/050642757
关键词
anomalous diffusion; nonlinear parabolic equation; finite element approximation
In this article we analyze a fully discrete numerical approximation to a time dependent fractional order diffusion equation which contains a nonlocal quadratic nonlinearity. The analysis is performed for a general fractional order diffusion operator. The nonlinear term studied is a product of the unknown function and a convolution operator of order 0. Convergence of the approximation and a priori error estimates are given. Numerical computations are included, which confirm the theoretical predictions.
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