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 probl...

Numerical solution of the generalized Burger?s-Huxley equation is established utilizing two effective meshless methods namely: local differential quadrature method and global line. Both proposed used radial basis functions to discretize space derivatives which convert given model system ODE then we have utilized Euler get required numerical solution. experiments are carried out check efficiency...

Nonlinear phenomena play a vital role in applied mathematics, physics, and engineering sciences. The Burger’s equation models efficiently certain problems of a fluid flow nature, in which either shocks or viscous dissipation is a significant factor. It can be used as a model for any nonlinear wave propagation problem subject to dissipation [1]. The first steadystate solutions of Burger equation...

New two-mode version of the generalized Burger–Huxley equation is derived using Korsunsky’s operators. The new model arises in applications nerve fibers and liquid crystals, it describes interaction two symmetric waves moving simultaneously same direction. Solitary wave solutions types kink-soliton, singular-kink-soliton singular-periodic are obtained to this by means simplified bilinear method...

This article deals with the numerical treatment of a singularly perturbed unsteady Burger-Huxley equation. The equation is linearized using Newton-Raphson-Kantorovich approximation method. resulting linear discretized implicit Euler method and an exponential spline for time space variables, respectively. Richardson's extrapolation technique employed to increase accuracy in temporal direction. s...

In this research, the numerical integral method procedure on uniform mesh is used to solve singularly perturbed problem which has boundary value. This also includes trapezoid method, finite difference and Thomas algorithm. The converted by using approximations method. Finally, convergence of presented analyzed through sample application. Thus, correctness sufficiency are shown.

in this paper, modified simple equation method has been applied to ob-tain generalized solutions of burgers, huxley equations and combined forms of these equations. the new exact solutions of these equations have been obtained. it has been shown that the proposed method provides a very effective, and powerful mathematical tool for solving nonlinear partial differential equations.