Scholarlink

<p>This study proposes a&#xa0;novel numerical solution method for the nonlinear one-dimensional Fisher equation, which involves complex and important physical issues concerning the heat conduction and combustion theory. This algorithm adopts a&#xa0;direct meshless technique based on the configuration point method, breaking through the traditional two-level computing framework by introducing combined radial basis functions. The nonlinear Fisher equation with time-varying characteristics can be transformed into a&#xa0;one-level solving problem. Numerical experiments verify advantages of this method in terms of the computational accuracy and efficiency by solving the Fisher equation and modified Fisher equation. Compared to traditional time stepping methods, this one-level solution architecture significantly improves the computational stability with the high solution accuracy.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

One-level GRBF-based meshless method for nonlinear one-dimensional Fisher equation

  • 期刊论文

  • 发表日期：

    2025年8月1日

查看全文
  • Mingyue Bai,
  • Yingqian Tian,
  • Fuzhang Wang

摘要

This study proposes a novel numerical solution method for the nonlinear one-dimensional Fisher equation, which involves complex and important physical issues concerning the heat conduction and combustion theory. This algorithm adopts a direct meshless technique based on the configuration point method, breaking through the traditional two-level computing framework by introducing combined radial basis functions. The nonlinear Fisher equation with time-varying characteristics can be transformed into a one-level solving problem. Numerical experiments verify advantages of this method in terms of the computational accuracy and efficiency by solving the Fisher equation and modified Fisher equation. Compared to traditional time stepping methods, this one-level solution architecture significantly improves the computational stability with the high solution accuracy.