AUTHOR=Jiang Yingzi , Wang Fuzhang , Sun Zhongyang 

TITLE=Numerical solutions of the nonlinear Fisher’s equation using a one-level meshless method

JOURNAL=Frontiers in Physics

VOLUME=Volume 13 - 2025

YEAR=2025

URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2025.1616647

DOI=10.3389/fphy.2025.1616647

ISSN=2296-424X

ABSTRACT=This study introduces a relatively new numerical technique for solving one-dimensional Fisher’s equation. The proposed numerical technique is a simple direct meshless method, which is based on the collocation scheme. To circumvent the traditional two-level numerical procedure, the space-time radial basis function is considered. Under such circumstances, the time-dependent one-dimensional nonlinear Fisher’s equation can be solved by a one-level numerical procedure. Several numerical results are investigated to show advantages of the proposed meshless method.