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sm823zw / Differential-Equations-using-Machine-Learning

This repository deals with solving partial differential equations using Machine Learning.

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deep-learningdifferential-equationsmachine-learningmatlabneural-networkspdepde-solverpython

Differential Equations using Machine Learning

This repository deals with solving partial differential equations using Machine Learning. Currently, it contains the code to solve non-linear equations such as Burger's equation, and Navier-Stokes equation which are widely used in fluid mechanics.

Burger's Equation -

image image image

Following is the output comparison between the actual and predicted output at given time instants (Burger's Equation)

alt text alt text Loss curve image image

Navier-Stokes Equation -

image image Loss curve

Schrodinger Equation -

image

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This repository deals with solving partial differential equations using Machine Learning.

deep-learningdifferential-equationsmachine-learningmatlabneural-networkspdepde-solverpython

License:MIT License

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Language:Jupyter Notebook 96.6%Language:MATLAB 2.6%Language:Python 0.8%