Utilization of finite differences - method of lines (MOL) - to solve an unsteady state 2D Partial Differential Equation of an cork cylinder, in MATLAB.
to write...
The dimensionalizes model can be written as:
At the centerline of cylinde the model becomes the next equation. At r = 0, because BC and the term 1/r the model has one indetermination. Applyg L'Hôpital's rule we can arrive at:
The Initial and Bounday Conditions are given by the following equations: