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Journal of Applied Sciences and Environmental Management
World Bank assisted National Agricultural Research Project (NARP) - University of Port Harcourt
ISSN: 1119-8362
Vol. 16, No. 1, 2012, pp. 121-127
Bioline Code: ja12019
Full paper language: English
Document type: Research Article
Document available free of charge

Journal of Applied Sciences and Environmental Management, Vol. 16, No. 1, 2012, pp. 121-127

 en Distributed Approximating Functional Approach to Burgers’ Equation using Element Differential Quadrature Method
Vagheefi, M.; Rahideh, H.; Golbahar, Haghighi & Manshad, A.K.

Abstract

This paper presents a computationally efficient and an accurate methodology in differential quadrature element method (EDQM) analysis of the nonlinear one-dimensional Burgers’ equation. Based on this approach, the total spatial and temporal domain is divided into a set of sub-domain and in each sub-domain, the DQ rule is employed to discretize the spatial and temporal domain derivatives. This equation is similar to, but simpler than, the Navier-Stokes equation in fluid dynamics. To verify this advantage through some comparison studies, an exact series solution are also obtained. In addition, the presented scheme has numerically stable behavior. After demonstrating the convergence and accuracy of the method, the effects of velocity parameters on the viscosity distribution are studied. It is found that element differential quadrature method provides highly accurate an exact series solution for Burgers, equation, while a small number of grid points is needed.

Keywords
Burgers, Equation, Differential quadrature method, Exact Series

 
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