Numerical Solution and Stability Analysis for Burger's-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 Solution of Burgers-Huxley Equation using Improved Nodal Integral Method

In this paper, a numerical scheme for solution of Generalized Burgers-Huxley equation using improved Nodal integral method (MNIM) is proposed. In this approach, the domain is divided into nodes and the derivation of the scheme is based on local transverse integration process (TIP) of PDEs within these nodes. A set of algebraic equations, based on the local analytical solution of ODEs obtained b...

application of modified simple equation method to burgers, huxley and burgers-huxley equations

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.

Convergence of iterative methods applied to Burgers-Huxley equation

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...