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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Previous articles were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence, and they are hosted by MDPI on mdpi.com as a courtesy and upon agreement with Association for Scientific Research (ASR).
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Article

Differential Quadrature Solution for One-Dimensional Aquifer Flow

by
Birol Kaya
and
Yalcin Arisoy
*
Civil Engineering Department, Dokuz Eylül University 35160, Buca, Izmir, Turkey
*
Author to whom correspondence should be addressed.
Math. Comput. Appl. 2011, 16(2), 524-534; https://doi.org/10.3390/mca16020524
Published: 1 August 2011
Versions Notes

Abstract

Differential Quadrature Method (DQM) has been applied to the solution of aquifer flow problems. Three examples from of each of the three one-dimensional aquifer flow equation problems, a confined aquifer flow with time dependent boundary conditions, a composite confined aquifer and an unconfined aquifer with seepage, were examined. The results of DQM solution were then compared with the results obtained from analytical solution, the Explicit Finite Differences Method and Implicit Finite Differences Method. Based on the comparison results, it was concluded that the DQM provides similar results but with relatively faster calculation speed, less nodes and memory usage.
Keywords: Differential Quadrature Method; One-Dimensional Flow; Confined Aquifer; Unconfined Aquifer Differential Quadrature Method; One-Dimensional Flow; Confined Aquifer; Unconfined Aquifer

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MDPI and ACS Style

Kaya, B.; Arisoy, Y. Differential Quadrature Solution for One-Dimensional Aquifer Flow. Math. Comput. Appl. 2011, 16, 524-534. https://doi.org/10.3390/mca16020524

AMA Style

Kaya B, Arisoy Y. Differential Quadrature Solution for One-Dimensional Aquifer Flow. Mathematical and Computational Applications. 2011; 16(2):524-534. https://doi.org/10.3390/mca16020524

Chicago/Turabian Style

Kaya, Birol, and Yalcin Arisoy. 2011. "Differential Quadrature Solution for One-Dimensional Aquifer Flow" Mathematical and Computational Applications 16, no. 2: 524-534. https://doi.org/10.3390/mca16020524

APA Style

Kaya, B., & Arisoy, Y. (2011). Differential Quadrature Solution for One-Dimensional Aquifer Flow. Mathematical and Computational Applications, 16(2), 524-534. https://doi.org/10.3390/mca16020524

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