1
Discipline of Mathematics, IIITDM Jabalpur, Madhya Pradesh 482005, India
2
Department of Mathematics, Rajdhani College, University of Delhi, India
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.
Mittal, A., Balyan, L., & Tiger, D. (2018). An improved pseudospectral approximation of generalized Burger-Huxley and Fitzhugh-Nagumo equations. Computational Methods for Differential Equations, 6(3), 280-294.
MLA
Avinash Mittal; Lokendra Balyan; Dheeraj Tiger. "An improved pseudospectral approximation of generalized Burger-Huxley and Fitzhugh-Nagumo equations". Computational Methods for Differential Equations, 6, 3, 2018, 280-294.
HARVARD
Mittal, A., Balyan, L., Tiger, D. (2018). 'An improved pseudospectral approximation of generalized Burger-Huxley and Fitzhugh-Nagumo equations', Computational Methods for Differential Equations, 6(3), pp. 280-294.
VANCOUVER
Mittal, A., Balyan, L., Tiger, D. An improved pseudospectral approximation of generalized Burger-Huxley and Fitzhugh-Nagumo equations. Computational Methods for Differential Equations, 2018; 6(3): 280-294.
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