Containing High Order Compact Scheme Source of Steady Convection-Diffusion Equation

Rongfei Wang; Weihua Wang; Jinhong Yang

doi:doi:10.11648/j.sd.20160402.27

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Containing High Order Compact Scheme Source of Steady Convection-Diffusion Equation

Rongfei Wang, Weihua Wang, Jinhong Yang

Published in Science Discovery (Volume 4, Issue 2)

Received: 12 June 2016 Published: 12 June 2016

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Abstract

Convection-diffusion equation have a wide range of applications in many practical engineering problems, such as magnetic confinement fusion problems, heat transfer, particle diffusion. Traditional solutionof convection-diffusion equation in magnetic confinement fusion is Crank-Nicolson scheme. This paper presents a new numerical solution of one-dimensional steady-containing source convection diffusion equation high accuracy difference schemes O(t²+h⁴), which proved to be unconditionally stable using Fourier analysis, numerical experiments show the accuracy and robustness of this format, this scheme has a higher accuracy.

Published in	Science Discovery (Volume 4, Issue 2)
DOI	10.11648/j.sd.20160402.27
Page(s)	156-160
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2016. Published by Science Publishing Group

Keywords

Convection-Diffusion Equation, Compact Difference, High Order

References

[1]	王慧蓉.求解对流扩散方程的紧致二级四阶Runge-Kutta差分格式[J].云南民族大学学报：自然科学版，2015,24(5):382-385。
[2]	杨志峰.含源汇定常对流扩散问题紧致四阶差分格式[J].科学通报，1991，38(2):113-116。
[3]	孙志忠.偏微分方程数值解法[M].北京：科学出版社，2005。
[4]	钱凌志，顾海波.高阶紧致差分格式结合外推技巧求解对流扩散方程[J].山东大学学报：理学版，2011,46(12):39-43。
[5]	张阳.线性对流占优扩散问题的交替方向差分流线扩散法[J].计算数学，2007,29(1):49-66。
[6]	何文平.求解对流扩散方程的四中差分格式的比较[J].物理学报，2004.(10):3258-3264。
[7]	王倩倩，李鑫，孙启航.一维变系数对流扩散方程的一个紧致差分格式.江苏师范大学学报：自然科学版，2013，31(2):21-24。
[8]	王彩华.一维对流扩散方程的一类新型高精度紧致差分格式[J].水动力学研究与进展：A辑，2004,(19):655。
[9]	戴嘉尊.微分方程数值解法[M].2版.南京：东南大学出版社，2004。
[10]	Patanker S V. Numerical heat transfer and fluid flow [M]. New York: Hemisphere Publishing Corporation, 1980.

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Rongfei Wang, Weihua Wang, Jinhong Yang. (2016). Containing High Order Compact Scheme Source of Steady Convection-Diffusion Equation. Science Discovery, 4(2), 156-160. https://doi.org/10.11648/j.sd.20160402.27

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ACS Style

Rongfei Wang; Weihua Wang; Jinhong Yang. Containing High Order Compact Scheme Source of Steady Convection-Diffusion Equation. Sci. Discov. 2016, 4(2), 156-160. doi: 10.11648/j.sd.20160402.27

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AMA Style

Rongfei Wang, Weihua Wang, Jinhong Yang. Containing High Order Compact Scheme Source of Steady Convection-Diffusion Equation. Sci Discov. 2016;4(2):156-160. doi: 10.11648/j.sd.20160402.27

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@article{10.11648/j.sd.20160402.27,
  author = {Rongfei Wang and Weihua Wang and Jinhong Yang},
  title = {Containing High Order Compact Scheme Source of Steady Convection-Diffusion Equation},
  journal = {Science Discovery},
  volume = {4},
  number = {2},
  pages = {156-160},
  doi = {10.11648/j.sd.20160402.27},
  url = {https://doi.org/10.11648/j.sd.20160402.27},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sd.20160402.27},
  abstract = {Convection-diffusion equation have a wide range of applications in many practical engineering problems, such as magnetic confinement fusion problems, heat transfer, particle diffusion. Traditional solutionof convection-diffusion equation in magnetic confinement fusion is Crank-Nicolson scheme. This paper presents a new numerical solution of one-dimensional steady-containing source convection diffusion equation high accuracy difference schemes O(t2+h4), which proved to be unconditionally stable using Fourier analysis, numerical experiments show the accuracy and robustness of this format, this scheme has a higher accuracy.},
 year = {2016}
}

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TY  - JOUR
T1  - Containing High Order Compact Scheme Source of Steady Convection-Diffusion Equation
AU  - Rongfei Wang
AU  - Weihua Wang
AU  - Jinhong Yang
Y1  - 2016/06/12
PY  - 2016
N1  - https://doi.org/10.11648/j.sd.20160402.27
DO  - 10.11648/j.sd.20160402.27
T2  - Science Discovery
JF  - Science Discovery
JO  - Science Discovery
SP  - 156
EP  - 160
PB  - Science Publishing Group
SN  - 2331-0650
UR  - https://doi.org/10.11648/j.sd.20160402.27
AB  - Convection-diffusion equation have a wide range of applications in many practical engineering problems, such as magnetic confinement fusion problems, heat transfer, particle diffusion. Traditional solutionof convection-diffusion equation in magnetic confinement fusion is Crank-Nicolson scheme. This paper presents a new numerical solution of one-dimensional steady-containing source convection diffusion equation high accuracy difference schemes O(t2+h4), which proved to be unconditionally stable using Fourier analysis, numerical experiments show the accuracy and robustness of this format, this scheme has a higher accuracy.
VL  - 4
IS  - 2
ER  -

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Author Information

Rongfei Wang

Institute of Applied Physics, Army Officer Acadamy, Hefei, Anhui
Weihua Wang

Institute of Applied Physics, Army Officer Acadamy, Hefei, Anhui
Jinhong Yang

Institute of Applied Physics, Army Officer Acadamy, Hefei, Anhui

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APA Style

Rongfei Wang, Weihua Wang, Jinhong Yang. (2016). Containing High Order Compact Scheme Source of Steady Convection-Diffusion Equation. Science Discovery, 4(2), 156-160. https://doi.org/10.11648/j.sd.20160402.27

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ACS Style

Rongfei Wang; Weihua Wang; Jinhong Yang. Containing High Order Compact Scheme Source of Steady Convection-Diffusion Equation. Sci. Discov. 2016, 4(2), 156-160. doi: 10.11648/j.sd.20160402.27

Copy | Download

AMA Style

Rongfei Wang, Weihua Wang, Jinhong Yang. Containing High Order Compact Scheme Source of Steady Convection-Diffusion Equation. Sci Discov. 2016;4(2):156-160. doi: 10.11648/j.sd.20160402.27

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@article{10.11648/j.sd.20160402.27,
  author = {Rongfei Wang and Weihua Wang and Jinhong Yang},
  title = {Containing High Order Compact Scheme Source of Steady Convection-Diffusion Equation},
  journal = {Science Discovery},
  volume = {4},
  number = {2},
  pages = {156-160},
  doi = {10.11648/j.sd.20160402.27},
  url = {https://doi.org/10.11648/j.sd.20160402.27},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sd.20160402.27},
  abstract = {Convection-diffusion equation have a wide range of applications in many practical engineering problems, such as magnetic confinement fusion problems, heat transfer, particle diffusion. Traditional solutionof convection-diffusion equation in magnetic confinement fusion is Crank-Nicolson scheme. This paper presents a new numerical solution of one-dimensional steady-containing source convection diffusion equation high accuracy difference schemes O(t2+h4), which proved to be unconditionally stable using Fourier analysis, numerical experiments show the accuracy and robustness of this format, this scheme has a higher accuracy.},
 year = {2016}
}

Copy | Download

TY  - JOUR
T1  - Containing High Order Compact Scheme Source of Steady Convection-Diffusion Equation
AU  - Rongfei Wang
AU  - Weihua Wang
AU  - Jinhong Yang
Y1  - 2016/06/12
PY  - 2016
N1  - https://doi.org/10.11648/j.sd.20160402.27
DO  - 10.11648/j.sd.20160402.27
T2  - Science Discovery
JF  - Science Discovery
JO  - Science Discovery
SP  - 156
EP  - 160
PB  - Science Publishing Group
SN  - 2331-0650
UR  - https://doi.org/10.11648/j.sd.20160402.27
AB  - Convection-diffusion equation have a wide range of applications in many practical engineering problems, such as magnetic confinement fusion problems, heat transfer, particle diffusion. Traditional solutionof convection-diffusion equation in magnetic confinement fusion is Crank-Nicolson scheme. This paper presents a new numerical solution of one-dimensional steady-containing source convection diffusion equation high accuracy difference schemes O(t2+h4), which proved to be unconditionally stable using Fourier analysis, numerical experiments show the accuracy and robustness of this format, this scheme has a higher accuracy.
VL  - 4
IS  - 2
ER  -

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