Heat Conduction with an Initial Profile

Example 4.4. Heat Conduction with an Initial Profile 

In the previous examples, the initial condition was a constant and independent of X. The same technique can be applied for the case where there is an initial temperature profile. Consider the transient heat conduction problem in a slab 

Equation (4.4) is solved in Maple below. The programs given for the previous examples have to be modified to solve equation (4.4) by only changing the initial condition  

4 Partial Differential Equations in Semi-infinite Domains 

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