Solving nonlinear Fisher–Kolmogorov–Petrovsky–Piskunov equation using two meshless methods
摘要
This paper explores the numerical solution of the Fisher–Kolmogorov–Petrovsky–Piskunov (FKPP) equation through two meshless methods: a space–time cloud method and an explicit method employing generalized finite difference formulas (GFDM). The efficacy of the space–time cloud method in addressing this equation is demonstrated, and a comparative analysis with the results obtained from the explicit method using GFDM is conducted. The findings suggest that the space–time finite difference method delivers precise and stable solutions for the Fisher–KPP equation.