منابع مشابه
Numerical methods for the generalized Fisher – Kolmogorov – Petrovskii – Piskunov equation ✩
In this paper we study numerical methods for solving integro-differential equations which generalize the well-known Fisher equation. The numerical methods are obtained considering the MOL (Method of Lines) approach. The stability and convergence of the methods are studied. Numerical results illustrating the theoretical results proved are also included. © 2006 IMACS. Published by Elsevier B.V. A...
متن کاملTravelling Wave Solutions and Conservation Laws of Fisher-Kolmogorov Equation
Lie symmetry group method is applied to study the Fisher-Kolmogorov equation. The symmetry group is given, and travelling wave solutions are obtained. Finally the conservation laws are determined.
متن کاملNumerical Methods for the Extended Fisher-kolmogorov (efk) Equation
In the study of pattern formation in bi–stable systems, the extended Fisher–Kolmogorov (EFK) equation plays an important role. In this paper, some a priori bounds are proved using Lyapunov functional. Further, existence, uniqueness and regularity results for the weak solutions are derived. Using C1-conforming finite element method, optimal error estimates are established for the semidiscrete ca...
متن کاملA New Linearized Crank-Nicolson Mixed Element Scheme for the Extended Fisher-Kolmogorov Equation
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...
متن کاملFourier pseudo-spectral method for the extended Fisher-Kolmogorov equation in two dimensions
*Correspondence: [email protected] 2School of Science, Jiangnan University, Lihu Road, Wuxi, 214122, China Full list of author information is available at the end of the article Abstract In the study of pattern formation in bi-stable systems, the extended Fisher-Kolmogorov (EFK) equation plays an important role. In this paper, a Fourier pseudo-spectral method for solving the EFK equation in ...
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ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 1995
ISSN: 0893-9659
DOI: 10.1016/0893-9659(95)00010-n