Numerical Solution of Burgers-Huxley Equation using Improved Nodal Integral Method
نویسندگان
چکیده
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 by TIP, is derived. The results are obtained by developed method for several values of the parameters. These results are compared with analytical solution and the results of few other well established methods. It is observed that the current method is capable of capturing the sharp wave front with quite coarse grids more accurately in comparison to the traditional numerical approaches.
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