Numerical simulation of the generalized Burger’s-Huxley equation via two meshless methods-Reference-Cited by-同舟云学术

Numerical simulation of the generalized Burger’s-Huxley equation via two meshless methods

Published:2022 Issue:Spec. issue 1 Volume:26 Page:463-468
ISSN:0354-9836
Container-title:Thermal Science
language:en
Short-container-title:THERM SCI

Author:

Ahmad Imtiaz¹,Abdel-Khalek Sayed²,Alghamdi Ahmed³,Inc Mustafa⁴

Affiliation:

1. Department of Mathematics, University of Swabi, Swabi, Khyber Pakhtunkhwa, Pakistan

2. Department of Mathematics, College of Science, Taif University, Taif, Saudi Arabia

3. Department of Software Engineering, College of Computer Science and Engineering, University of Jeddah, Jeddah, Saudi Arabia

4. Firat University, Science Faculty, Department of Mathematics, Elazig, Turkiye + Department of Medical Research, China Medical University, Taichung, Taiwan

Abstract

Numerical solution of the generalized Burger?s-Huxley equation is established utilizing two effective meshless methods namely: local differential quadrature method and global method of line. Both the proposed meshless methods used radial basis functions to discretize space derivatives which convert the given model equation system of ODE and then we have utilized the Euler method to get the required numerical solution. Numerical experiments are carried out to check the efficiency and accuracy of the suggested meshless methods.

Publisher

National Library of Serbia

Subject

Renewable Energy, Sustainability and the Environment

Reference18 articles.

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3. Wang, F., et al., Gaussian Radial Basis Functions Method for Linear and Non-Linear Convection-Diffusion Models in Physical Phenomena, Open Phys., 19 (2021), 1, pp. 69-76

4. Hussain, Z., et al., Extension of Optimal Homotopy Asymptotic Method with Use of Daftardar-Jeffery Polynomials to Hirota-Satsuma Coupled System of Korteweg de Vries Equations, Open Phys., 18 (2020), 1, pp. 916-924

5. Ahmad, I., et al., Solution of Multi-Term Time-Fractional PDE Models Arising in Mathematical Biology and Physics by Local Meshless Method, Symmetry, 12 (2020), 7, 1195

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