New Exact Solutions of Kolmogorov Petrovskii Piskunov Equation, Fitzhugh Nagumo Equation, and Newell-Whitehead Equation
نویسندگان
چکیده
منابع مشابه
Explicit and Exact Solutions to a Kolmogorov-Petrovskii-Piskunov Equation
Some explicit traveling wave solutions to a Kolmogorov-PetrovskiiPiskunov equation are presented through two ansätze. By a Cole-Hopf transformation, this Kolmogorov-Petrovskii-Piskunov equation is also written as a bilinear equation and further two solutions to describe nonlinear interaction of traveling waves are generated. Bäcklund transformations of the linear form and some special cases are...
متن کاملNumerical 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 کاملExact Traveling Wave Solutions for Fitzhugh-Nagumo (FN) Equation and Modified Liouville Equation
In this paper, we employ the exp(-?(x))-expansion method to find the exact traveling wave solutions involving parameters of nonlinear evolution equations Fitzhugh-Nagumo (FN) equation and Modified Liouville equation. When these parameters are taken to be special values, the solitary wave solutions are derived from the exact traveling wave solutions. It is shown that the proposed method provides...
متن کاملComplex Solutions for Generalised Fitzhugh– Nagumo Equation
During present investigation, a direct algebraic method based on complex solutions of nonlinear partial differential equations is developed and tested in the case of generalised Burgers–Huxley equation. The proposed scheme can be used in a wide class of nonlinear reaction–diffusion equations. These calculations demonstrate that the accuracy of the direct algebraic solutions is quite high even i...
متن کاملHermite Collocation and SSPRK Schemes for the Numerical Treatment of a Generalized Kolmogorov-Petrovskii-Piskunov Equation
In this study we develop high order numerical methods to capture the spatiotemporal dynamics of a generalized Kolmogorov-Petrovskii-Piskunov (KPP) equation characterized by density dependent non-linear diffusion. Towards this direction we consider third order Strong Stability Preserving Runge-Kutta (SSPRK) temporal discretization schemes coupled with the fourth order Hermite cubic Collocation (...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Mathematical Physics
سال: 2020
ISSN: 1687-9139,1687-9120
DOI: 10.1155/2020/5098329