Numerical Solution for Heat Transfer in a Rectangle

Example 6.6. Numerical Solution for Heat Transfer in a Rectangle 

Example 6.1 (heat transfer in a rectangle) is solved again using the numerical method of lines. The procedure involved in solving a linear or nonlinear steady state elliptic PDE numerically is summarized as follows  

Start the Maple worksheet with a restart command to clear all variables. 

Call with(linalg) and with(plots) commands. 

Store the y boundary conditions in bc3 (y = 0) and bc4 (y = 1). Note that a right hand side should be included so that Maple s dsolve command can be used. 

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