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Appl. Sci. 2017, 7(3), 284; doi:10.3390/app7030284

Construction of Compact Finite Difference Schemes by Classic Differential Quadrature

College of Electrical Engineering & New Energy, China Three Gorges University, Yichang 443002, China
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Received: 20 February 2017 / Revised: 10 March 2017 / Accepted: 10 March 2017 / Published: 14 March 2017
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Abstract

Using classic differential quadrature formulae and uniform grids, this paper systematically constructs a variety of high-order finite difference schemes, and some of these schemes are consistent with the so-called boundary value methods. The derived difference schemes enjoy the same stability and accuracy properties with correspondent differential quadrature methods but have a simpler form of calculation; thus, they can be seen as a compact format of classic differential quadrature methods. Through systematic Fourier stability analysis, the characteristics such as the dissipation, dispersion and resolution of the different schemes were studied and compared. View Full-Text
Keywords: compact finite difference scheme; differential quadrature methods; grids; boundary value methods; Fourier stability analysis compact finite difference scheme; differential quadrature methods; grids; boundary value methods; Fourier stability analysis
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Wang, F.; Pan, M.; Wang, Y. Construction of Compact Finite Difference Schemes by Classic Differential Quadrature. Appl. Sci. 2017, 7, 284.

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