PDE 2 | Three fundamental examples

An introduction to partial differential equations.

Part 2 topics:

-- the wave equation (0:43)
-- the Laplace equation (4:15)
-- the heat equation (8:27)
-- animations and visual examples!

[margaretbelanger]

thank you so much for doing this. World needs more people making math accessible and teaching it in a way thats easy to follow instead of just throwing complicated formulas at students and expecting us to remember all of the components!!! YAY U ROCK

[JunaidAzizChannel]

Your mathematica animations are brilliant and so helpful!!

[unknowmOOsewasfound]

Somewhere out on the ocean, two waves passing in the night lollol!

[jeffgalef]

This series is fantastic. It's exactly what I was looking for, and I am greatly appreciative.

[santiagoricoy]

WOW! Can I just say that covering the distribution with a graph in case we couldn't see color was the most wholesome thing I've seen since all of our classes went online? Because it is.

[saadhassan]

You are very mindful of accessibilty, which is fantastic to see.

[UnforsakenXII]

Your videoes are really well thought out. I was humbled by the fact that you could included additional animations for color blind people. Thanks.

[JeremyBaziw]

This is explained so well, and the order in which you are introducing topics is making the topic very easy to understand. I can't thank you enough these videos are literally saving my cgpa.

[ChristopherCTech]

Thanks a lot! I was taking notes and I wrote the Laplace Equation down as ∂²u/∂x² - ∂²u/∂y² = 0 . When I was going over my notes I noticed the Laplace Equation looked the same as the Wave equation. I should have double checked the video. This makes sense now. Great videos! They are very helpful. Thank you.

[adamcwatts]

Beautiful examples through great animations. Thank you!

[PizzinaldPize]

Excellent use of Mathematica to visualize concepts. Grants nice intuition.

[tammiapostolidis]

Thanks, this helped me understand this topic more than my lecturer could!

[pouyabigdeli]

I found this indeed very useful as a 3rd year mechanical engineering student and i hope i could be as useful as such at spreading knowledge.

[manishankaryadav]

Thank you for igniting the interest in doing cfd coding.

[wolfganghugh]

In the case of periodic heating condition, I don't think the temperature of the right side of the rod will decrease to zero but will decrease to the equilibrium temperature of the rod after heating.

[Pure_Imagination_]

Just cracked open my PDE book for spring semester by Strauss and already coming to you for clarification. My classes begin about a week from tomorrow but I wanted to get an early start because I got a B in my ODE class because I had little exposure. My ODE class was right after I finished calc 2.

[Pixelaze]

These videos are amazing. You make difficult concepts easy.

[romanemul]

partial differential equations for dummies. Thank you very much. This video helped me on so many levels.

[mignik]

I would say Finite element and finite volume. That is the most helpful for the kind of work I am doing. Its kinda hard to get a good video about them where they talk about intuition. I can do the math but I would like to understand it a bit more.

[bibulbilovvi]

In the last example, I think the heated end of the rod will not go lower than the rest of the rod.
Thanks