An improved pseudospectral approximation of generalized Burger-Huxley and Fitzhugh-Nagumo equations
Publish Year: 1397
Type: Journal paper
Language: English
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Document National Code:
JR_CMDE-6-3_002
Index date: 4 February 2023
An improved pseudospectral approximation of generalized Burger-Huxley and Fitzhugh-Nagumo equations abstract
In this research paper, an improved Chebyshev-Gauss-Lobatto pseudospectral approximation of nonlinear Burger-Huxley and Fitzhugh- Nagumo equations have been presented. The method employs chebyshev Gauss-Labatto points in time and space to obtain spectral accuracy. The mapping has introduced and transformed the initial-boundary value non-homogeneous problem to homogeneous problem. The main problem is reduced to a system of algebraic equations. This system is solved by standard numerical method. Numerical results for various cases of Generalized Burger-Huxley equation and other example of Fitzhugh- Nagumo equation are presented to demonstrate the performance and effectiveness of the method. Finaly, a comparison of our method with existing other methods available in literature are also given.
An improved pseudospectral approximation of generalized Burger-Huxley and Fitzhugh-Nagumo equations Keywords:
An improved pseudospectral approximation of generalized Burger-Huxley and Fitzhugh-Nagumo equations authors