Analytical Solution of Nonlinear Diffusion Equation in Two-Dimensional Surface

• Authors: A. Janavičius , S. Turskienė
• 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

66.30.-h

Discipline

• 66.30.-h: Diffusion in solids(for surface and interface diffusion, see 68.35.Fx)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2005
• Volume: 108
• Issue: 6
• Pages: 979-983

Dates

published

2005-12

received

2005-07-04

Contributors

author

A. Janavičius

• Faculty of Natural Sciences, Šiauliai University, Višinskio 25, Šiauliai, 76351, Lithuania

author

S. Turskienė

• 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

Identifiers

DOI

10.12693/APhysPolA.108.979