Consider the temperature profile on a wall where at one of the sides the

temperature is higher than the other boundary. The process is transient

and governed by the equation below.

Write a computer code using the FVM and obtain the temperature as

function of time for each node in the computational domain. The system

of linear algebraic equations must be solved by the TDMA algorithm.

The non$-$dimensional formulation is shown below. Consider $t$ as half of

the cell length.

$\frac{\text{d}\text{e}\text{l}}{\text{d}\text{e}\text{l}\text{t}}=\frac{de{l}^2}{del{x}^2}$

$t=0$;$,=0$

$x=0$;$,=0$

$x=1$;$,=1$;

The program can be written in Python.