Analytical and numerical techniques for initial-boundary value problems of Kolmogorov–Petrovsky–Piskunov equation

Abstract

© 2020 Wiley Periodicals LLC In this work, we are interested in finding exact and numerical solutions of well-known Kolmogorov–Petrovsky–Piskunov (KPP) equation. Here, we introduce modified extended tanh method for finding the exact solutions of KPP equation and an average linear finite difference scheme for numerical investigations. It has been observed that the numerical scheme so employed is stable and accurate enough to produce stable results.