TITLE:
An Efficient Method to Solve Thermal Wave Equation
AUTHORS:
Mohamed Salah, R. M. Amer, M. S. Matbuly
KEYWORDS:
Reaction-Diffusion; Block Marching; Differential Quadrature; Perturbation
JOURNAL NAME:
Applied Mathematics,
Vol.5 No.3,
February
13,
2014
ABSTRACT: In this
paper, an efficient technique of differential quadrature method and
perturbation method is employed to analyze reaction-diffusion problems. An
efficient method is presented to solve thermal wave propagation model in one
and two dimensions. The proposed method marches in the time direction block by
block and there are several time levels in each block. The global method of
differential quadrature is applied in each block to discretize both the spatial
and temporal derivatives. Furthermore, the proposed method is validated by
comparing the obtained results with the available analytical ones and also
compared with the hybrid technique of differential quadrature method and
Runge-Kutta fourth order method.