Analytical Solution of Nonlinear Diffusion Equation in Two-Dimensional Surface
A. J. Janavičiusa and S. Turskienėb
aFaculty of Natural Sciences, Šiauliai University, Višinskio 25, Šiauliai, 76351, Lithuania
bFaculty 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