TITLE:
The Differential Quadrature Solution of Reaction-Diffusion Equation Using Explicit and Implicit Numerical Schemes
AUTHORS:
Mohamed Salah, R. M. Amer, M. S. Matbuly
KEYWORDS:
Reaction-Diffusion; Implicit Euler; Runge-Kutta; Differential Quadrature; Perturbation
JOURNAL NAME:
Applied Mathematics,
Vol.5 No.3,
February
7,
2014
ABSTRACT:
In this paper, two
different numerical schemes, namely the Runge-Kutta fourth order method and the
implicit Euler method with perturbation method of the second degree, are applied to solve the
nonlinear thermal wave in one and two dimensions using the differential
quadrature method. The aim of this paper is to make comparison between previous
numerical schemes and detect which is more efficient and more accurate by
comparing the obtained results with the available analytical ones and computing
the computational time.