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 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 کاملApplication of differential transformation method to the fisher equation.
In this paper, the dierential transform method (DTM) is applied to the Fisherequation. This method can be used to obtain the exact solutions of Fisherequation. Finally, we give some examples to illustrate the suciency of themethod for solving such nonlinear partial dierential equations. These resultsshow that this technique is easy to apply.
متن کاملUnderstanding the Fisher Equation∗
It is argued that univariate long memory estimates based on ex post data tend to underestimate the persistence of ex ante variables (and, hence, that of the ex post variables themselves) because of the presence of unanticipated shocks whose short run volatility masks the degree of long range dependence in the data. Empirical estimates of long range dependence in the Fisher equation are shown to...
متن کاملQualitative Properties and Existence of Solutions for a Generalized Fisher-like Equation
This paper is devoted to the study of an eigenvalue second order differential equation, supplied with homogenous Dirichlet conditions and set on the real line. In the linear case, the equation arises in the study of a reaction-diffusion system involved in disease propagation throughout a given population. Under some relations upon the real parameters and coefficients, we present some existence ...
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ژورنال
عنوان ژورنال: Procedia Engineering
سال: 2015
ISSN: 1877-7058
DOI: 10.1016/j.proeng.2015.11.481