Numerically Solving Partial Differential Equations











>> YOUR LINK HERE: ___ http://youtube.com/watch?v=ZSNl5crAvsw

In this video we show how to numerically solve partial differential equations by numerically approximating partial derivatives using the finite difference method. We develop an algorithm that will allow direct numerical simulation of a partial differential equation. • Topics and Timestamps: • 0:00 – Introduction • 1:04 – Fokker-Planck equation • 7:45 – Verifying and visualizing the analytical solution in Mathematica • 15:29 – The Finite Difference Method • 57:57 – Converting a continuous PDE into an algebraic equation • 1:07:57 – Boundary conditions • 1:14:29 – Math Joke: Star Wars error • 1:15:53 – Implementation of numerical solution in Matlab • Lecture notes and code can be downloaded from https://github.com/clum/YouTube/tree/... • All partial differential equation videos in a single playlist (   • Partial Differential Equations  ) • #PDEs • Associated videos on software tools relevant to PDEs include: • -Creating Movies and Animations in Mathematica (   • Creating Movies and Animations in Mat...  ) • -Creating Movies and Animations in Matlab (   • Creating Movies and Animations in Matlab  ) • You can support this channel via Patreon at   / christopherwlum   or by clicking on the ‘Thanks’ button underneath the video. Thank you for your help!

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