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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 182-183A Method of Improving Calculation Accuracy in...

A Method of Improving Calculation Accuracy in Difference Schemes

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Abstract:

To calculate difference scheme’s accuracy of differential equation, the normal way is using Taylor format. This paper utilizes tectonic process of differential format to calculate truncation error and gets the accuracy. Compared with the traditional way, not only reduces the amount of calculation, but also calculates the accuracy more quickly and accurately for high-order equations.

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Applied Mechanics and Mechatronics Automation

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Periodical:

Applied Mechanics and Materials (Volumes 182-183)

Pages:

1877-1880

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.182-183.1877

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Cite this paper

Online since:

June 2012

Authors:

Ling Yan Han, Guang He Cheng, Xiao Shi Zheng, Qian Wang, Ying Ji Jin, Feng Qi Hao

Keywords:

Accuracy, Difference Scheme, Taylor Formula, Truncation Error

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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[1] Yulian Liu, Peiren Fu. Notes of Mathematical Analysis. third edition. Beijing: Higer Education Press. 2003, pp.184-185.

[2] Mengzhao Qin: Mathematica Numerica Sinica. 1984, 2(1). pp.1-13 (In Chinese).

[3] A.M. Wazwaz: Applied Mathematics and Computation. 2003, 142(2). pp.511-520.

[4] Mengzhao Qin: Computing. 1983, 31(3). pp.261-267.

[5] Huamo Wu: Mathematica Numerica Sinica. 1986, 8(3). pp.329-331(In Chinese).

[6] Pengcheng Lin: Applied Mathematics and Mechanics. 1988(9). pp.219-223(In Chinese).

[7] Wenping Zeng: Journal of Hua Qiao University (natural science). vol. 7, no. 3, 1991. pp.274-278(In Chinese).

[8] Yi Li: Applied Mathematics and Mechanics. 1993, 14(3). pp.219-223(In Chinese).

[9] Yi Li, Xiaoping Li: Journal of Sichuan university(natural science edition). 1996, 33(6). pp.645-649(In Chinese).

[10] Dianhui Wang: Mathematica Applicata. 1994, 7(1). pp.102-106(In Chinese).

[11] Avdul-Majid Wazwaz: Applied Mathematics and Computation. 2003, 142(2-3) . pp.511-520.

[12] Jiazun Dai, Ning Zhao, Yun Xu: Mathematica Numerica Sinica. 1989, 11(2). pp.172-177. (In Chinese).

[13] Wenqia Wang: Applied Mathematics and Mechanics. 2003, 24(1) . pp.32-42.

[14] Xiaoqin Hua, Dakai Zhang: Guizhou Science. 2004, 22(3). pp.72-74. (In Chinese).

[15] Hongen Jia, Juhong Ge: China Water Transport. 2006, 11(6). pp.240-241. (In Chinese).

[16] Lingyan Han. Two Eight-point Difference Schemes of the Dispersive Equation. Master's Thesis, Xi'an University of Architecture and Technology. (2005).

[17] Computational Mathematics in Department of Mathematics, Najing University. Numerical Solution of Partial Differential Equations. Science Press. 1979, p.4.

[18] Gordon C. Everstine. Numerical Solution of Partial Differential Equations. 2010, p.18.