Study on a Class of Diffusion Models for Dust Plasma in Atmosphere

FENG Yi-hu; SHI Lan-fang; XU Yong-hong; MO Jia-qi

doi:10.3879/j.issn.1000-0887.2015.06.008

Volume 36 Issue 6

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FENG Yi-hu, SHI Lan-fang, XU Yong-hong, MO Jia-qi. Study on a Class of Diffusion Models for Dust Plasma in Atmosphere[J]. Applied Mathematics and Mechanics, 2015, 36(6): 639-650. doi: 10.3879/j.issn.1000-0887.2015.06.008

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Study on a Class of Diffusion Models for Dust Plasma in Atmosphere

doi: 10.3879/j.issn.1000-0887.2015.06.008

¹Department of Science and Technology, Bozhou Teachers College, Bozhou, Anhui 236800, P.R.China;²College of Mathematics and Statistics, Nanjing University of Information Science & Technology, Nanjing 210044, P.R.China;³Department of Mathematics & Physics, Bengbu College, Bengbu, Anhui 233030, P.R.China;⁴Department of Mathematics,Anhui Normal University, Wuhu, Anhui 241003, P.R.China

Funds: The National Natural Science Foundation of China(11202106)

Received Date: 2014-12-22
Rev Recd Date: 2014-12-31
Publish Date: 2015-06-15

Abstract

Abstract

A class of nonlinear diffusion equation initial value problems about dust plasma diffusion in atmosphere were investigated. Firstly, the exact solution to the non-disturbed dust plasma diffusion equation was obtained with the Fourier transformation method. Then a homotopic mapping was introduced and an initial approximate function was chosen to find out successively the arbitrary-order approximate analytic solutions to the disturbed initial value problems according to the homotopic mapping theory again. Next, the fixed point theory was applied to make clear validity of the approximate analytic solutions and determine their respective degrees of approximation. In the 2 examples, simulation curves and tables were given to make comparison between the exact solution and the various-order approximate ones. Finally, the physical sense of the approximate solutions obtained with the homotopic mapping method was analyzed simply and their easy application and high accuracy were examined.
- atmosphere,
- diffusion equation,
- plasma

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References(17)

References

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