Numerical investigation of the generalized Burgers-Huxley equation using combination of multiquadric quasi-interpolation and method of lines

Askari, Maysam; Adibi, Hojatollah

doi:10.22034/cmde.2021.44511.1885

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	Numerical investigation of the generalized Burgers-Huxley equation using combination of multiquadric quasi-interpolation and method of lines
Computational Methods for Differential Equations
مقاله 9، دوره 10، شماره 3، مهر 2022، صفحه 686-700 اصل مقاله (5.45 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2021.44511.1885
نویسندگان
Maysam Askari^* ¹؛ Hojatollah Adibi²
¹Department of mathematics, Professor Hesabi Branch, Islamic Azad University, Tafresh, Iran.
²Department of Mathematics, Amirkabir University of Technology, Tehran, Iran.
چکیده
In this article, an efficient method for approximating the solution of the generalized Burgers-Huxley (gB-H) equation using a multiquadric quasi-interpolation approach is considered. This method consists of two phases. First, the spatial derivatives are evaluated by MQ quasi-interpolation, So the gB-H equation is reduced to a nonlinear system of ordinary differential equations. In phase two, the obtained system is solved by using ODE solvers. Numerical examples demonstrate the validity and applicability of the method.
کلیدواژه‌ها
Generalized Burgers-Huxley equation؛ Multiquadric quasi-interpolation؛ Method of lines

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Numerical investigation of the generalized Burgers-Huxley equation using combination of multiquadric quasi-interpolation and method of lines