Similarity Solution Technique for Parabolic PDEs

Parabolic partial differential equations are solved using the similarity solution technique in this section. This method involves combining the two independent variables (x and t) as one (rj). For this purpose, the original initial and boundary conditions should become two boundary conditions in the new combined variable (rj). The methodology involves converting the governing equation (PDF) to an ordinary differential equation (ODE) in the combined variable (rj). This variable transformation is very difficult to do by hand. In this chapter, we will show how 

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