Improving Numerical Solutions for the Generalized Huxley Equation: The New Iterative Method (NIM)

Authors

Belal Batiha, Faculty of Science and Information Technology, Mathematics Department, Jadara University, Irbid, JordanFollow
Areen Al-khateeb, Faculty of Science and Information Technology, Mathematics Department, Jadara University, Irbid, JordanFollow
Hamzeh Zureigat, Faculty of Science and Information Technology, Mathematics Department, Jadara University, Irbid, JordanFollow

Author Country (or Countries)

Jordan

Abstract

The focus of our research was to address the generalized Huxley equation using the recently developed iterative method called the new iterative method (NIM). Our study entailed a comprehensive investigation of the convergence characteristics of the NIM. Additionally, we compared the outcomes obtained from the NIM with other established iterative techniques, including the variational iteration method (VIM) and Adomian decomposition method (ADM), as well as the exact solution.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/170310

Recommended Citation

Batiha, Belal; Al-khateeb, Areen; and Zureigat, Hamzeh (2023) "Improving Numerical Solutions for the Generalized Huxley Equation: The New Iterative Method (NIM)," Applied Mathematics & Information Sciences: Vol. 17: Iss. 3, Article 10.
DOI: http://dx.doi.org/10.18576/amis/170310
Available at: https://digitalcommons.aaru.edu.jo/amis/vol17/iss3/10