Finite element analysis for coupled time-fractional nonlinear diffusion system

被引：7
|
作者：
Kumar, Dileep [1 ]
Chaudhary, Sudhakar [2 ]
Kumar, V. V. K. Srinivas [1 ]
机构：
[1] Indian Inst Technol, Dept Math, Delhi, India
[2] SGT Univ, Dept Math, Gurugram, Haryana, India
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2019年 / 78卷 / 06期
关键词：
Time-fractional diffusion system; Finite element methods; L1; method; Error estimates; Newton's method; L1-GALERKIN FEMS; MESHES;
D O I：
10.1016/j.camwa.2019.03.036
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the L1-Galerkin finite element analysis of the coupled time-fractional nonlinear diffusion system. Existence and uniqueness results are discussed at continuous as well as discrete levels. Two different methods for linearizing the nonlinear fully discrete problems are used. We provide a priori bounds and convergence estimates in L-2(Omega) norm for fully-discrete problems. Numerical results based on the presented finite element methods are provided to validate the theoretical estimates. (C) 2019 Elsevier Ltd. All rights reserved.
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页码：1919 / 1936
页数：18
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