Author(s)

Shahid Hasnain, Muhammad Saqib

Department of Mathematics, Numerical Analysis, King Abdulaziz University, Jeddah, KSA.

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.

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

Hasnain, S. and Saqib, M. (2017) Numerical Study of One Dimensional Fishers KPP Equation with Finite Difference Schemes. American Journal of Computational Mathematics, 7, 70-83. doi: 10.4236/ajcm.2017.71006.