An Efficient Method to Solve Thermal Wave Equation

• 作者: M. S. Matbuly Mohamed Salah R. M. Amer
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: REACTION-DIFFUSION BLOCK MARCHING Differential QUADRATURE PERTURBATION
• 年，卷（期）: 2014,（3）
• 页码范围: 542-552
• 页数: 11页
• 分类号: O1

摘要

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.