Numerical Examples Example: Find the system of finite difference equations for the following problem. Steady state heat conduction through a plane wall.

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Presentation transcript:

Numerical Examples Example: Find the system of finite difference equations for the following problem. Steady state heat conduction through a plane wall with no internal generation. L=1 Dx=0.25 2 3 4 5 m=1 T1=100 T5=0 x

Numerical Examples (cont.)

MathCAD Solution Solve the system of equations using matrix inversion function in MathCAD. [A][T]=[C], [T]=[A]-1[C] Type A^-1 in MathCAD Ainv is generated by typing A.inv Type A.int*C in MathCAD to perform matrix product Type T= in MathCAD to see the solution vector