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

Publish Year: 1401
نوع سند: مقاله ژورنالی
زبان: English
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JR_CMDE-10-3_009

تاریخ نمایه سازی: 9 بهمن 1401

Abstract:

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.

Authors

Maysam Askari

Department of mathematics, Professor Hesabi Branch, Islamic Azad University, Tafresh, Iran.

Hojatollah Adibi

Department of Mathematics, Amirkabir University of Technology, Tehran, Iran.

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