A Finite Element Method for Time Fractional Partial Differential Equations
نویسندگان
چکیده
In this paper, we consider the finite element method for time fractional partial differential equations. The existence and uniqueness of the solutions are proved by using the Lax-Milgram Lemma. A time stepping method is introduced based on a quadrature formula approach. The fully discrete scheme is considered by using a finite element method and optimal convergence error estimates are obtained. The numerical examples at the end of the paper show that the experimental results are consistent with our theoretical results. MSC 2010 : Primary 65M12: Secondary 65M06; 65M60; 65M70;35S10
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تاریخ انتشار 2011