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

[@user-xj9re7gv5g]

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!

[@bachircherafeddinebenhacin4125]

awesome content finally

[@kiranboddeda4121]

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

[@RinconFelipe]

This is relevant. Thanks a lot!

[@AJ-et3vf]

Great video sir! Thank you!

[@letssee2987]

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

[@mohammadjafarrahimi5217]

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

[@wangji6247]

thank you. It is very useful.

[@mr.taimoorbinzain4445]

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

[@loknathdas3111]

Thank you very much sir, great lecture !!!

[@austineadah2843]

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

[@dilayhamaykaya2686]

loved it :) thank you

[@MasoudDehghan-tz4cj]

Excellent man.

[@user-fl1bk6yx3d]

Think you very much for the very good video.

[@muhammadsuleman-bf5oh]

Excellent

[@MohitDadu]

Oh Man.... Thank you so much ❤

[@apuham6268]

Thank you!!!!

[@msh6783]

thank you❤❤❤

[@alexmercer7446]

Thanks!!!

[@idreeskhan1629]

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

[@fp9760]

👍👍

[@devargyachakraborty9068]

How to solve for unsteady state?

[@originalmaar1224]

Thanks a lot , great video

[@abolfazlmahmoodpoor_]

Glad you liked it!

[@ndukamoses8475]

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

[@abolfazlmahmoodpoor_]

I received your email. If following explanation is not enough let me know using the email, it is easy, just using the definition of first order derivative. We used it a lot in the videos, If you use it you will see that one node after boundary the value of function at that point is given by the condition that imposed by derivate (an example: df/dx = a --> f(1)- f(0)= a*dx --> f(1)=a*dx + f(0) so the value of function is known in either node number 0 and node number 1 and you should just start calculation from node number 2 )

[@shivaraghav8184]

@@abolfazlmahmoodpoor_ can you send mail to me about how to apply neumann boundary condition. my email is shivaraghav@[e-mail]

[@ahmedmustafa9299]

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

[@1andriks]

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.

[@abolfazlmahmoodpoor_]

Hello.
about the Q.1, because number of grid is high there is no difference to chose the value of corner from bottom or left boundary (for lower left corner for example)
About Q.2 when we solve the analytical problem in final answer we considered boundary conditions, otherwise the number of solution for a partial deferential equation could be infinity without boundary conditions. You can find the analytical solution of Laplace equation in cartesian coordinate in a separate video in the channel.
Here is the link :
th-cam.com/video/2aJ3fFwET68/w-d-xo.html

[@1andriks]

@@abolfazlmahmoodpoor_ Thank you for the answers! Although, I understand about corners when dx and dy are small. My question was rather how to deal with them when the grid size is not so fine, sorry I did not precise this before.

[@abolfazlmahmoodpoor_]

If you have a large grid you will have large error in numerical solution, simply you can check it in the code, just decrease number of grids. So you have to have small grid, and in small grid no matter from which boundary you chose the corner value!

[@1andriks]

@@abolfazlmahmoodpoor_ ok, I see. Thank you!

[@johnbofarullguix1499]

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?

[@abolfazlmahmoodpoor_]

No, sorry

[@nitishgupta7460]

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.

[@abolfazlmahmoodpoor_]

Dear Nitish, Sorry for such a late reply, If you didn't solve the problem yet you can send it to me, I will check. [e-mail]

[@uroojfatima1099]

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

[@letssee2987]

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

[@Irregular_mahmud]

Did you find out how to do this?

[@wisdomhezekiah868]

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

[@sumantaroy9379]

Sir, thank you so much

[@abolfazlmahmoodpoor_]

glad it helped

[@sumantaroy9379]

@@abolfazlmahmoodpoor_ Sir, is there any way to import an excel spreadsheet into MATLAB and store it into any matrix ?

[@abolfazlmahmoodpoor_]

[num,txt,raw] = xlsread('myfile') ;
num gives only numbers.
txt gives only text data.
raw gives the complete file.

[@user-pw4yq7hx4n]

We want finite difference for Fokker-Planck Equation

[@abolfazlmahmoodpoor_]

In near future, I hope!

[@meharwaqarali3875]

#pimathlab

[@deltechdiaries5907]

plz give the code sir

[@abolfazlmahmoodpoor_]

Please follow the video and try to repeat the same code, I think everything is clear in video.

[@deltechdiaries5907]

@@abolfazlmahmoodpoor_ okay thanks sir

[@abolfazlmahmoodpoor_]

During writing the code if you have some problem feel free to ask

[@deltechdiaries5907]

@@abolfazlmahmoodpoor_ sure sir , thanks for the help