THE ANALYTIC SOLUTION OF NON-LINEAR BURGERS–HUXLEY EQUATIONS USING THE TANH METHOD
Journal Title: Al-Bahir Journal for Engineering and Pure Sciences - Year 2023, Vol 3, Issue 1
Abstract
The emergence of the BurgerseHuxley equation (which involves the famous Burgers equation and the Huxley equation) to predict response systems, dispersion moves, and nerve charge transmission in traffic patterns, sound, turbulent conditions theory, hydrodynamics has attracted the attention of scientists to provide reliable and efficient solutions to the problem. The present work employed the Tanh method to solve the BurgerseHuxley nonlinear partial differential equations. In contrast to previous results with complicated and laborious solution characteristics, this method is accurate, efficient, and requires little computational work. In showing this, we solved four BurgerseHuxley case study problems using the Tanh approach and obtained the exact solution. The solutions of the four cases were presented graphically. In addition, the findings demonstrate that the Tanh method is an effective and robust approach for constructing the exact solution of nonlinear differential equations.
Authors and Affiliations
Kabir Oluwatobi Idowu, Adedapo Chris Loyinmi
Keywords
Related Articles
- EP ID EP744500
- DOI -
- Views 44
- Downloads 0
A New Generalized Gamma-Weibull Distribution and its Applications
Optimizing Locations and Sizes of Asphalt Concrete Plants in Karbala, Iraq
A Meta-Ensemble Predictive Model For The Risk Of Lung Cancer
Enhanced acousto-optic properties of Silicon carbide based layered structure
This study investigates the feasibility of using silicon carbide-based layered surface acoustic wave (SAW) devices in acousto-optic applications. The acousto-optic properties of the temperature-stable layered structure...
Best Neural Network Approximation by using Bernstein Polynomials with GRNN Learning Application
Bernstein polynomials are one of the first and main tools for function approximation. On the other hand, neural networks have many useful applications in approximation and other fields as well. In this paper, we study h...