Abstract
This paper examines the use of advanced numerical techniques to approximate solutions of the Fisher equation with higher-order accuracy. This technique integrates the method of lines with a strong stability-preserving Runge–Kutta scheme of orders four and five stages (SSPRK-54) for the numerical formulation. This scheme is then tested on two examples and the results show that it is more efficient than existing methods and requires less computing power. These equations are widely used across scientific and engineering disciplines, with particular relevance in biomedical studies, such as estimating the boundary size of tumors. The difficulties arising from their nonlinear nature are effectively addressed through advanced numerical methods.
Recommended Citation
Vimal, Vikash; Kumari, Richa; and Awasthi, Ashish
(2025).
(SI15-068) Advanced Numerical Methods for the Solution of Nonlinear Fisher Equation,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 20,
Iss.
4, Article 13.
Available at:
https://digitalcommons.pvamu.edu/aam/vol20/iss4/13