Fantastic explaination:) If the right hand side of laplacian exists will it be more difficult to solve ? Any inputs on solving this though FDM with right hand side existing with large sparse matrices as outcome ?
In the case of existing right hand side it will be the Poisson's equation, I recommend you to watch this video ruclips.net/video/1arN0uizaXc/видео.html Although it is a solution of Laplace equation, but in theory part of video right hand side is not zero. Moreover in solving of Poisson's equation be carful that right hand side should be a linear function of variable or a constant function, In the case of nonlinear PDE you need to linearize it. good luck
Assalamu alaykum. Thank you for fantastic explanations. Can you make a video about solution of Unsteady Navier Stokes Equations and Turbulence Model Using MATLAB?
Please explain to me where is the error a=3*pi; b=pi; nx=100;ny=50;dx=a/nx;dy=b/ny;x=0:dx:a; y=0:dy:b; [X,Y]= meshgrid(x,y); u=sin(X)./sin(a).*sinh(Y)./sin(b); maxu = max(u,[],'all'); nu=u/maxu; surf(nu); colormap(jet(256));shading interp ; Error using max Trailing string input must be 'omitnan' or 'includenan'. Error in Laplace (line 7) maxu = max(U,[],'all');
more than prefect Dr. Abofazl
Thank so much for your excellent explanations.
Beautiful lecture
thank you excellent
Wow
Fantastic explaination:) If the right hand side of laplacian exists will it be more difficult to solve ?
Any inputs on solving this though FDM with right hand side existing with large sparse matrices as outcome ?
In the case of existing right hand side it will be the Poisson's equation, I recommend you to watch this video
ruclips.net/video/1arN0uizaXc/видео.html
Although it is a solution of Laplace equation, but in theory part of video right hand side is not zero. Moreover in solving of Poisson's equation be carful that right hand side should be a linear function of variable or a constant function, In the case of nonlinear PDE you need to linearize it.
good luck
Nice👍
Assalamu alaykum. Thank you for fantastic explanations. Can you make a video about solution of Unsteady Navier Stokes Equations and Turbulence Model Using MATLAB?
Perfect
glad it helped!
👍👍
could you please explain it using python numpy and matplotlib
Please explain to me where is the error
a=3*pi; b=pi; nx=100;ny=50;dx=a/nx;dy=b/ny;x=0:dx:a; y=0:dy:b;
[X,Y]= meshgrid(x,y);
u=sin(X)./sin(a).*sinh(Y)./sin(b);
maxu = max(u,[],'all'); nu=u/maxu; surf(nu);
colormap(jet(256));shading interp ;
Error using max
Trailing string input must be 'omitnan' or 'includenan'.
Error in Laplace (line 7)
maxu = max(U,[],'all');
What version of MATLAB are you using?
It works in "R2019a" version without error
R2019a
the applied boundary conditions are Drichlet's conditions?
Yes
@@abolfazlmahmoodpoor_ thank u sir
@@abolfazlmahmoodpoor_ and what about Neumann condition/ , and can u do a video on transient state?
@@shivaraghav8184 Dirichlet's boundary condition is enough for this PDE and I am not sure what is transient form for Laplace equation.
@@abolfazlmahmoodpoor_ no not the transient form of laplace, iam talking about the transient form of 2d heat equation