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.

x

m=1

2

3

4

5

T1=100

T5=0

L=1

Dx=0.25

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