Analytical Solution of Nonlinear Diffusion Equation in Two-Dimensional Surface

A.J. Janavičius, S. Turskienė
2005 Acta Physica Polonica. A  
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 fatcat:vexgbcuirndfti3r74qgotqq2e