Analytic Travelling Wave Solutions and Numerical Analysis of Fisher’s Equation via Explicit-Implicit FDM
Asian Journal of Advanced Research and Reports · pp. 1–13 · Published 6 Mar 2019
10.9734/ajarr/2019/v3i330089Abstract
We study the nonlinear parabolic Fisher’s equations for travelling wave solutions. The analyses focus on to describe the analytic solution in the spatial pattern of travelling wave solutions; especially the solutions are characterized in invariant with respect to translation in space. There are two phases in the work: in the first stage, we analyze dimensional reaction-diffusion equation with logistic type growth while in the second phase the non-dimensional equation known as Fishers’ equation is studied numerically. To investigate the results numerically, we select the explicit-implicit finite difference method (FDM) and the approximate solutions are compared with the exact solution in different time steps.
Cited by 2
Sadia Akter Lima, Md. Kamrujjaman, Md. Shafiqul Islam · AIP Advances · 2021
Md. Shafiqul Islam, Nafia Mollik, Md. Kamrujjaman · International Journal of Differential Equations · 2025
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