Numerical Solution of 2D Laplace equation using Finite Difference Method (Iterative Technique )

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This video is very informative, I have only a small nitpick in the code: using omega = 1 we divide by sin(omega * a) = sin(a) = sin(3pi) = 0!

The matrix indeed shows huge values (not infinity because of floating point rounding errors)

chlorine
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very good video sir i did watch lot of video but did not satisfied but after this becouse the governing position means before programe u did explain very well easilly understand so that not face any problem in ans

letssee
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I can't thank You enough, sir! Very understandable. I had problems understanding how to work in MatLab, but I followed your steps and it was getting easier!

АндрейТоцкий-ли
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Doc . good job please dont left please upload a series of videos with help of matlab of finite differece method

mr.taimoorbinzain
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This is very great, can you do circular domain

dennisobideyi
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Thanks for this concise and effective 2D solution at t=0.
Do you have another video showing the wave behaviour when u(t) in time?

johnbofarullguix
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Thanks Abolfazl,
your video works more than too much for me, it was great, 🌹🌹🌹hope to see more from you.
Br,

mohammadjafarrahimi
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Excellent Sir:))
I am really loving your work sir:))
Thank you

kiranboddeda
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Hello! I have some questions: 1. How do deal with the corners when setting BC? It seems that the order at which each BC is defined matters.
2. When calculating the analytical part and plotting it, does it automatically account for BC, or we should also separately define BC and evaluate analytical part only in the middle? Because some solutions only account inside the rectangle in the continuum limit, but I do not know what to do when we are discretising it.

andriks
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Masha Allah nice explanation, Sir please if you could help me with my Semi-implicit Finite Difference code

idreeskhan
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Thank you very much sir, great lecture !!!

loknathdas
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Think you very much for the very good video.

ZHENYE-bp
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This is beautiful!could you extend it to 3D wave and structure application and do a tutorial on it?thanks in advance

austineadah
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Respected Sir,
I am doing same code in my system but I am getting some errors like " Error using max
Trailing string input must be 'omitnam' or 'includenan'
Please solve my this problems.
Thanks in advance.

nitishgupta
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Thank you so much sir for this great video.
But can you please help me on how to implement the Neumann boundary conditions on one, two, three or four sides of the Laplace equation using FDM

ndukamoses
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sir can u solve a governing equation of transient heat conduction with heat generation and convection for 2D using finite difference method? with matlab code

letssee
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hello . sir i wite same to same in matlab14 but this code is not working

uroojfatima
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i tried to write the same code but the error not equal to zero in the final

ahmedmustafa
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We want finite difference for Fokker-Planck Equation

Larayu-ki
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ERROR IMPLEMENTING MAXU. PLEASE SIR WHAT SHOULD BE THE WAY OUT

wisdomhezekiah