Moving finite element methods for time fractional partial differential equations

查看全文 作　　者：JIANG [1]YingJun;MA [2]JingTang

机构地区：[1]Department of Mathematics and Scientific Computing, Changsha University of Science and Technology;[2]School of Economic Mathematics, Southwestern University of Finance and Economics

出　　处：《Science China Mathematics》索引2013年第56卷第6期,共14页

基　　金：supported by National Natural Science Foundation of China (Grant Nos.10901027 and 11171274);Foundation of Hunan Educational Committee (Grant No. 10C0370) 摘　　要：With the aim of simulating the blow-up solutions, a moving finite element method, based on nonuniform meshes both in time and in space, is proposed in this paper to solve time fractional partial differential equations (FPDEs). The unconditional stability and convergence rates of 2-α for time and r for space are proved when the method is used for the linear time FPDEs with α-th order time derivatives. Numerical examples are provided to support the theoretical findings, and the blow-up solutions for the nonlinear FPDEs are simulated by the method. 关键词：线性时间有限元方法偏微分方程分数阶移动时间导数和空间爆破解

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Moving finite element methods for time fractional partial differential equations

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引证文献(9)

耦合文献(16)

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