In this paper, numerical solutions of the extended Fisher–Kolmogorov equation are obtained using finite pointset method. Finite pointset method is a meshless method which is a local iterative method based on the weighted least square approximation. By employing splitting technique, the extended Fisher–Kolmogorov equation is split into a two coupled system of differential equations by introducing an intermediate function. The method is applied to the resulting coupled system of differential equation. The numerical results confirm the good efficiency of the finite pointset method.

中文翻译：

---

基于混合公式的扩展Fisher-Kolmogorov方程的有限点集方法

在本文中，扩展的Fisher-Kolmogorov方程的数值解是使用有限点集方法获得的。有限点集方法是一种无网格方法，是一种基于加权最小二乘近似的局部迭代方法。通过采用分裂技术，通过引入一个中间函数，扩展的 Fisher-Kolmogorov 方程被分裂为一个二耦合微分方程组。该方法适用于得到的微分方程耦合系统。数值结果证实了有限点集方法的良好效率。