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2005 | 108 | 6 | 979-983
Article title

Analytical Solution of Nonlinear Diffusion Equation in Two-Dimensional Surface

Content
Title variants
Languages of publication
EN
Abstracts
EN
We considered practically important case of nonlinear diffusion in the anisotropic plane where diffusion coefficients for diffusion in x and y axis directions can be different. This equation was transformed using similarity variables. The approximate analytical solution of the transformed equation expressed by power-series expansion for two variables about the zero point including only the first terms. The graphic representations show sufficient accuracy of the obtained analytical solution.
Keywords
EN
Publisher

Year
Volume
108
Issue
6
Pages
979-983
Physical description
Dates
published
2005-12
received
2005-07-04
Contributors
  • Faculty of Natural Sciences, Šiauliai University, Višinskio 25, Šiauliai, 76351, Lithuania
author
  • Faculty of Mathematics and Informatics, Šiauliai University, Višinskio 19, Šiauliai, 76351, Lithuania
References
  • 1. A.J. Janavicius, V. Stukaite, D.J. Zanevicius, Electron Tech. Ser. 2, Semicond. Dev., 160, 27, 1983 (in Russian)
  • 2. Way-Seen Wang, Yu-Hwa Lo, IEEE Trans. Electron Dev., ED-30, 1828, 1983
  • 3. A.J. Janavicius, Phys. Lett. A, 224, 159, 1997
  • 4. A.J. Janavicius, G. Luza, D. Jurgaitis, Acta Phys. Pol. A, 105, 475, 2004
  • 5. A.J. Janavicius, A. Poskus, Acta Phys. Pol. A, 105, 519, 2005
  • 6. Martin Eden Glicksman, Diffusion in Solids Field Theory, Solid-State Principles, and Applications, Wiley, New York 2000, p. 472
  • 7. J. Janavicius, Z. Norgela, J. Jurgaitis, Math. Model. Anal., 6, 77, 2001
  • 8. J. Marciak-Kozlowska, Z. Mucha, Lith. J. Phys., 35, 616, 1995
  • 9. A.J. Janavicius, Acta Phys. Pol. A, 93, 505, 1998
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv108n604kz
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