Linear B-spline finite element Method for solving delay reaction diffusion equation

被引：2
|
作者：
Lubo, Gemeda Tolessa [1 ]
Duressa, Gemechis File [2 ]
机构：
[1] Wollega Univ, Dept Math, Nekemte, Ethiopia
[2] Jimma Univ, Dept Math, Jimma, Ethiopia
来源：
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS | 2023年 / 11卷 / 01期
关键词：
Delay reaction diffusion equation; Crank Nicolson; Linear B-spline; Finite element method; Asymtotic stability; Convergence; WAVE-FORM RELAXATION; COMPACT DIFFERENCE SCHEME; NUMERICAL-SOLUTION; ASYMPTOTIC STABILITY; PARABOLIC EQUATIONS; BURGERS-EQUATION; COLLOCATION; CONVERGENCE;
D O I：
10.22034/cmde.2022.49678.2066
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the numerical treatment of delay reaction-diffusion with the Dirichlet boundary condition. The finite element method with linear B-spline basis functions is utilized to discretize the space variable. The Crank-Nicolson method is used for the processes of time discretization. Sufficient and necessary conditions for the numerical method to be asymptotically stable are investigated. The convergence of the numerical method is studied. Some numerical experiments are performed to verify the applicability of the numerical method.
引用
收藏
页码：161 / 174
页数：14
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