We heated the rod in the flame of a burner.
How will it cool down?
Non-stationary mode!
One stationary mode here https://en.smath.com/forum/yaf_postst23506_Cannot-plot-T-x--y.aspx

Hi.



Best regards
Alvaro.

Wrote

Hi.



Best regards
Alvaro.

Thanks!
And what about the ICs?
We must use one numeric not symbolic method!

For your data set D ... 3 options:
1. Smath ainterp, cinterp ...integrate/solve(4)/zap derivative.
2. Mathcad l_p_c implemented Smath [1rst derivative, integration]
3. Thiele Smath ... symbolic derivative, integration.
If you have interest in methods [2,3] I will attach.
Since nearly ~ two weeks, Smath Studio can't be downloaded.
Replaced by Smath Solver ... a damned crippled version.
Cheers ... Jean.

Wrote

For your data set D ... 3 options:
1. Smath ainterp, cinterp ...integrate/solve(4)/zap derivative.
2. Mathcad l_p_c implemented Smath [1rst derivative, integration]
3. Thiele Smath ... symbolic derivative, integration.
If you have interest in methods [2,3] I will attach.
Since nearly ~ two weeks, Smath Studio can't be downloaded.
Replaced by Smath Solver ... a damned crippled version.
Cheers ... Jean.

Thanks!
I would like as here
https://en.smath.com/forum/yaf_postst23506_Cannot-plot-T-x--y.aspx

Wrote

Thanks!
I would like as here

Thiele_0 Model QUICK.sm (24 KiB) downloaded 25 time(s).
Maths EDU [l_p_c_splines TOOLBOX] Copy.sm (584 KiB) downloaded 30 time(s).

These two documents are SS 6179.
Please, confirm you can open.

Wrote

... And what about the ICs?
We must use one numeric not symbolic method!

Using maple, you can try to use a maple "component" or a maple plot, which gives more flexible access to maple structured functions.

Also, there are some numerical procedures for pde's in Maxima.

Notice that in Mathcad the border conditions for δT(x,t)/δx are not considered for obtain the solution.



With SMath, you can try to adjust the curve choosing good guess values in the yellow vector.



pdesol_num.sm (14 KiB) downloaded 27 time(s).

Best regards.
Alvaro.