In this Project we are providing a slover for Parabolic Partial Differential Equations, i.e. the heat diffusion equation, of the form:
Our approach is to use a combination of finite elements (B-Splines) to approximate the derivation in space and explicit Euler to approximate the evolution in time.
Temperature evolution in time and space after a laser pulse hits the probe
| Temperature evolution of probe | Gaussian laser pulse S(x,t) hitting probe |
|---|---|
 |
 |
Here we consider a gaussian pulsed laser source S(x,t) = exp(-x)*G(t) hitting a probe in the middle. The probe gets heated up, as the pulse kicks in and the heat diffuses along the material until equilibrium is reached.
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- Documentation
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- Descriptive .ipynb files. To give a descriptive overview of what can be solved with the package
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- Code .py files containing code to comment, modify and work on
use the download link
python -m pip install --index-url https://test.pypi.org/simple/ solpde
then run
from solpde import solpde
Fork from the Developer- branch and pull request to merge back into the original Developer- branch.
Working updates and improvements will then be merged into the Master branch, which will always contain the latest working version.
With:
Dependencies:
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