Numerical investigation of the generalized Burgers-Huxley equation using combination of multiquadric quasi-interpolation and method of lines
نویسندگان
1 Department of mathematics, Professor Hesabi Branch, Islamic Azad University, Tafresh, Iran.
2 Department of Mathematics, Amirkabir University of Technology, Tehran, Iran.
doi
10.22034/cmde.2021.44511.1885چکیده
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.