Analytical Solution of Nonlinear Diffusion Equation in Two-Dimensional Surface |
A. J. Janavičius^{a} and S. Turskienė^{b}
^{a}Faculty of Natural Sciences, Šiauliai University, Višinskio 25, Šiauliai, 76351, Lithuania ^{b}Faculty of Mathematics and Informatics, Šiauliai University, Višinskio 19, Šiauliai, 76351, Lithuania |
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Received: 4 07 2005; |
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. |
DOI: 10.12693/APhysPolA.108.979 PACS numbers: 66.30.-h |