8.2.7-PDEs: Parabolic PDEs In Two Spatial Dimensions (ADI Method)

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Solving Parabolic Partial Differential Equations in two spatial dimensions (the Alternating Direction Implicit Method)
These videos were created to accompany a university course, Numerical Methods for Engineers, taught Spring 2013. The text used in the course was "Numerical Methods for Engineers, 6th ed." by Steven Chapra and Raymond Canale.

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11 сен 2024

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Комментарии : 5

@yasamangerivani7094 2 года назад

Thanks for this, I've been trying to understand what is ADI actually and you made it totally clear.

@king0vdarkness 6 лет назад

Please may I ask if you could do some ADI examples? Such as a curved plate's heat distribution over time? E.g. say you are given boundary and initial conditions, how would you find the temperature distribution over time for specific points in the plate via ADI method?

@8594able 6 лет назад

Can't this equation be solved using cylindrical coordinates by setting X=t*cos(theta), Y=t*sin(theta) & Z=T. It would reduce the number of variables from 3 to 2. Isn't it?