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R. Bellman and J. Casti, “Differential quadrature: A technique for the rapid solution of nonlinear partial differential equations,” J. Comput Phys, Vol. 10, pp. 40–52, 1972.

has been cited by the following article:

• TITLE: Heat Distribution in Rectangular Fins Using Efficient Finite Element and Differential Quadrature Methods

  AUTHORS: ShahNor BASRI, M. M. FAKIR, F. MUSTAPHA, D. L. A. MAJID, A. A. JAAFAR

  KEYWORDS: Efficient Finite Element Method, Efficient Differential Quadrature Method, Heat Transfer Problem

  JOURNAL NAME: Engineering, Vol.1 No.3, November 24, 2009

  ABSTRACT: Finite element method (FEM) and differential quadrature method (DQM) are among important numerical techniques used in engineering analyses. Usually elements are sub-divided uniformly in FEM (conventional FEM, CFEM) to obtain temperature distribution behavior in a fin or plate. Hence, extra computational complexity is needed to obtain a fair solution with required accuracy. In this paper, non-uniform sub-elements are considered for FEM (efficient FEM, EFEM) solution to reduce the computational complex-ity. Then this EFEM is applied for the solution of one-dimensional heat transfer problem in a rectangular thin fin. The obtained results are compared with CFEM and efficient DQM (EDQM), with non-uniform mesh generation). It is found that the EFEM exhibit more accurate results than CFEM and EDQM showing its potentiality.