BRIEF RESEARCH REPORT article
Front. Phys.
Sec. Interdisciplinary Physics
Volume 13 - 2025 | doi: 10.3389/fphy.2025.1616647
Numerical Solutions of the nonlinear Fisher's equation using a one-level meshless method
Provisionally accepted
- 1Xuzhou University of Technology, Xuzhou, China
- 2Huaibei Normal University, Huaibei, Anhui, China
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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.
Keywords: Fisher's equation, meshless method, one-level method, Radial basis function, numerical simulation
Received: 23 Apr 2025; Accepted: 10 Jun 2025.
Copyright: © 2025 Jiang, Wang and Sun. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
* Correspondence:
Fuzhang Wang, Xuzhou University of Technology, Xuzhou, China
Zhongyang Sun, Huaibei Normal University, Huaibei, 235000, Anhui, China
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