An Efficient Method to Solve Thermal Wave Equation

Affiliation(s)

Department of Engineering Mathematics and Physics, Faculty of Engineering, Zagazig University, Zagazig, Egypt.

Department of Engineering Mathematics and Physics, Faculty of Engineering, Zagazig University, Zagazig, Egypt.

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.

Cite this paper

M. Salah, R. Amer and M. Matbuly, "An Efficient Method to Solve Thermal Wave Equation,"*Applied Mathematics*, Vol. 5 No. 3, 2014, pp. 542-552. doi: 10.4236/am.2014.53052.

M. Salah, R. Amer and M. Matbuly, "An Efficient Method to Solve Thermal Wave Equation,"

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