Article citationsMore>>

Noye, J.N. (1981) Nonlinear Partial Differential Equations in Engineering. Conference in Queen’s College, University of Melbourne, North-Holland Publishing Company, Australia.

has been cited by the following article:

• TITLE: Numerical Study of One Dimensional Fishers KPP Equation with Finite Difference Schemes

  AUTHORS: Shahid Hasnain, Muhammad Saqib

  KEYWORDS: Forward in Time and Centre in Space (FTCS), Lax Wendroff, Taylor’s Series, Crank Nicolson and Richardson Extrapolation

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.7 No.1, March 31, 2017

  ABSTRACT: In this paper, we originate results with finite difference schemes to approximate the solution of the classical Fisher Kolmogorov Petrovsky Piscounov (KPP) equation from population dynamics. Fisher’s equation describes a balance between linear diffusion and nonlinear reaction. Numerical example illustrates the efficiency of the proposed schemes, also the Neumann stability analysis reveals that our schemes are indeed stable under certain choices of the model and numerical parameters. Numerical comparisons with analytical solution are also discussed. Numerical results show that Crank Nicolson and Richardson extrapolation are very efficient and reliably numerical schemes for solving one dimension fisher’s KPP equation.