Partial differential equation

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Partial differential equation

Timothy Axberg
Hello, I am having troubles with heat conduction problem. Below is the
given information. Should I move forward with this problem like any other
1-D PDE?

¶T/¶t = a* (¶^2T/¶x^2)



I.C. For t = 0 and 0 £ x £ 10, T = 0 °C

B.C. For x = 0 cm and all t , T = 100°C

For x = 10 cm and all t , T = 0 °C

The thermal diffusivity is a = 2.0 cm^2 /s.


I also added what I have for code in R. Any help will be appreciated. Thanks

- Timothy
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Re: Partial differential equation

Thomas Petzoldt-4
On 19.12.2017 04:22, Timothy Axberg wrote:
> Hello, I am having troubles with heat conduction problem. Below is the
> given information. Should I move forward with this problem like any other
> 1-D PDE?

Yes. You may use your favorite search engine and search for:

"heat transfer" "deSolve" R

or have a look at:

http://desolve.r-forge.r-project.org

>
> ¶T/¶t = a* (¶^2T/¶x^2)
>
>
>
> I.C. For t = 0 and 0 £ x £ 10, T = 0 °C
>
> B.C. For x = 0 cm and all t , T = 100°C
>
> For x = 10 cm and all t , T = 0 °C
>
> The thermal diffusivity is a = 2.0 cm^2 /s.
>
>
> I also added what I have for code in R. Any help will be appreciated. Thanks

There was no code appended.

> - Timothy

Hope it helps,

Thomas

______________________________________________
[hidden email] mailing list -- To UNSUBSCRIBE and more, see
https://stat.ethz.ch/mailman/listinfo/r-help
PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
and provide commented, minimal, self-contained, reproducible code.