Similarity Solution Technique for Elliptic Partial Differential Equations

5 Similarity Solution Technique for Elliptic Partial Differential Equations 

Elliptic partial differential equations are solved using the similarity solution technique in this section. The method described in section 4.4 is also valid for elliptic partial differential equations. The methodology involves converting the governing equation (PDE) to an ordinary differential equation (ODE) in the combined variable (rj). This variable transformation is very difficult to do by hand. In this section, we show how this variable transformation can be done using Maple. The original problem becomes a boundary value problem (ODE) in the new combined variable (rj). This is best illustrated with the following examples. 

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