A New Linearized Crank-Nicolson Mixed Element Scheme for the Extended Fisher-Kolmogorov Equation
Joint Authors
He, Siriguleng
Wang, Jinfeng
Gao, Wei
Liu, Yang
Li, Hong
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-22
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
We present a new mixed finite element method for solving the extended Fisher-Kolmogorov (EFK) equation.
We first decompose the EFK equation as the two second-order equations, then deal with a second-order equation employing finite element method, and handle the other second-order equation using a new mixed finite element method.
In the new mixed finite element method, the gradient ∇u belongs to the weaker (L2(Ω))2 space taking the place of the classical H(div;Ω) space.
We prove some a priori bounds for the solution for semidiscrete scheme and derive a fully discrete mixed scheme based on a linearized Crank-Nicolson method.
At the same time, we get the optimal a priori error estimates in L2 and H1-norm for both the scalar unknown u and the diffusion term w=−Δu and a priori error estimates in (L2)2-norm for its gradient χ=∇u for both semi-discrete and fully discrete schemes.
American Psychological Association (APA)
Wang, Jinfeng& Li, Hong& He, Siriguleng& Gao, Wei& Liu, Yang. 2013. A New Linearized Crank-Nicolson Mixed Element Scheme for the Extended Fisher-Kolmogorov Equation. The Scientific World Journal،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-1033277
Modern Language Association (MLA)
Wang, Jinfeng…[et al.]. A New Linearized Crank-Nicolson Mixed Element Scheme for the Extended Fisher-Kolmogorov Equation. The Scientific World Journal No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-1033277
American Medical Association (AMA)
Wang, Jinfeng& Li, Hong& He, Siriguleng& Gao, Wei& Liu, Yang. A New Linearized Crank-Nicolson Mixed Element Scheme for the Extended Fisher-Kolmogorov Equation. The Scientific World Journal. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-1033277
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033277