Using Group Theoretic Method to Solve Multi-Dimensional Diffusion Equation
نویسندگان
چکیده
The nonlinear diffusion equation arises in many important areas of science and technology such as modelling of dopant diffusion in semiconductors. We give analytical solution to N -dimensional radially symmetric nonlinear diffusion equation. The transformation group theoretic approach is applied to analysis of this equation. The one-parameter group transformation reduces the number of independent variables by one, and the governing partial differential equation with the boundary conditions reduce to an ordinary differential equation with the appropriate boundary conditions. Effect of the time t on the concentration diffusion function C(r, t) has been studied and the results are plotted.
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