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

Application of Laplace decomposition method for Burgers-Huxley and Burgers-Fisher equations

In this paper, we apply the Laplace decomposition method to obtain a series solutions of the Burgers-Huxley and Burgers-Fisher equations. The technique is based on the application of Laplace transform to nonlinear partial differential equations. The method does not need linearization, weak nonlinearity assumptions or perturbation theory and the nonlinear terms can be easily handled by using the...

Convergence of iterative methods applied to Burgers-Huxley equation

application of laplace decomposition method for burgers-huxley and burgers-fisher equations

in this paper, we apply the laplace decomposition method to obtain a series solutions of the burgers-huxley and burgers-fisher equations. the technique is based on the application of laplace transform to nonlinear partial differential equations. the method does not need linearization, weak nonlinearity assumptions or perturbation theory and the nonlinear terms can be easily handled by using the...

convergence of iterative methods applied to burgers-huxley equation

F eb 1 99 8 Chiral Solutions to Generalized Burgers and Burgers - Huxley Equations

We investigate generalizations of the Burgers and Burgers-Huxley equations. The investigations we offer focus attention mainly on presenting explict analytical solutions by means of relating these generalized equations to relativistic 1 + 1 dimensional systems of scalar fields where topological solutions are known to play a role. Emphasis is given on chiral solutions, that is, on the possibilit...

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...