Abstract:
Mathematical models with this equation are widely used in ecology, physiology, combustion, crystallization, plasma physics, and in general phase transition problems. In this article, we are interested in the finite-difference approximation of the initial-boundary value problem with the KPP-F equation. For this, a two-layer difference scheme “with weights” was built, having an approximation order of $O(h^2 + \tau)$. The used scheme made it possible to reduce the problem of finding a solution to a nonlinear equation to solving a system of linear algebraic equations using the sweep method. If
