Numerical simulation of the generalized Burger’s-Huxley equation via two meshless methods

Convergence of iterative methods applied to Burgers-Huxley equation

Numerical Solution of the Generalized Burgers-Huxley Equation by Exponential Time Differencing Scheme

Numerical solutions of nonlinear partial differential equations, such as the generalized and extended Burgers-Huxley equations which combine effects of advection, diffusion, dispersion and nonlinear transfer are considered in this paper. Such system can be divided into linear and nonlinear parts, which allow the use of two numerical approaches. Higher order finite difference schemes are employe...

Numerical Solutions of the Generalized Burgers-Huxley Equation by a Differential Quadrature Method

Numerical solutions of the generalized Burgers-Huxley equation are obtained using a polynomial differential quadrature method with minimal computational effort. To achieve this, a combination of a polynomial-based differential quadrature method in space and a low-storage third-order total variation diminishing Runge-Kutta scheme in time has been used. The computed results with the use of this t...

A Fourth Order Improved Numerical Scheme for the Generalized Burgers - Huxley Equation

A fourth order finite-difference scheme in a two-time level recurrence relation is proposed for the numerical solution of the generalized Burgers-Huxley equation. The resulting nonlinear system, which is analyzed for stability, is solved using an improved predictor-corrector method. The efficiency of the proposed method is tested to the kink wave using both appropriate boundary values and condi...

convergence of iterative methods applied to burgers-huxley equation