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Prof. Mark Owkes - Montana State University
Приєднався 27 сер 2015
Student Contribution - Fourier Series - Theory
Student Contribution - Fourier Series - Theory
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Відео
Student Contribution - Fourier Series - MATLAB code
Переглядів 31 тис.8 років тому
Student Contribution - Fourier Series - MATLAB code
Student Contribution - Finite Element Method - Video 2
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Student Contribution - Finite Element Method - Video 2
Student Contribution - Finite Element Method - Video 1
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Student Contribution - Finite Element Method - Video 1
Student Contribution - Fourier Analysis Overview
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Student Contribution - Fourier Analysis Overview
Student Contribution - Analytic Methods to Solve ODEs
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Student Contribution - Analytic Methods to Solve ODEs
Student Contribution - Classification of Differential Equations
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Student Contribution - Classification of Differential Equations
Elliptic PDE - FiniteDifference - Part 3 - MATLAB code
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3rd of a 3 part video series on solving an elliptic PDE using the finite difference method.
Periodic Boundary Conditions
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This video shows how to solve a PDE on a periodic domain wherein the first and last grid points are the same.
Elliptic PDE - Liebmann's Method
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V on solving an elliptic PDE using Liebmann's method.
Elliptic PDE - FiniteDifference - Part 2 - Matrix construction
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2nd of a 3 part video series on solving an elliptic PDE using the finite difference method.
Elliptic PDE - FiniteDifference - Part 1 - Discretization
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1st of a 3 part video series on solving an elliptic PDE using the finite difference method.
Runge-Kutta solution to a System of ODEs
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This is an example to simplify the MATLAB code from the last video.
Runge-Kutta solution to a System of ODEs
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This is an example of how to code in MATLAB a Runge-Kutta method to solve a system of equations. They system of ODEs can come from reducing a higher-order differential into a system of first-order ODES.
4th-Order Runge-Kutta Method Example
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4th-Order Runge-Kutta Method Example
Introduction to Numerical Solutions to ODEs
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Introduction to Numerical Solutions to ODEs
Much helpful
How can I code three systems of ODEs?
Masterfully executed!
ok cool video but does it generatate good images?
how x1= 0??
Arigato sensei
Thanks a lot. It's helpfull for me
thanks professor compact and to the point
Great explanation, thank you sir
Good explanation, but Im wondering why you erased S1+S2/2 to write S1+S1/2 which doesn't look logical
AMAN AJAA
The tutorial was really helpful. It greatly simplified the code length. I even changed from row vector mode to column vector mode and it worked as well!! Many many thanks to you sir!
Your a god among men
That's really fantastic. thank you sir....
thank u so much sir
awesome video thanks
It was very helpful for my project sir. Thanks a lot.
Great video!
Thanks for great quality content
Very helpful!!! Thank you so much!!!
thank you so much for this.
Helps a Lot, Thank you very very much. Keep making videos. Your knowledge is the best, keep sharing. Thanks.
How can I get the code of 4th-Order Runge-Kutta Method for solving integral equations?
Sir You are really great
THANK YOU!!!! For those wondering about dx ~= dy line 25 == -2*( (dx/dy)^2 +1) line 28&29== (dx/dy)^2 I believe this is all that is needed. I could be wrong. I'm a rookie.
THANK YOU!!!!
Can I apply this code for nonlinear coupled ode
Yes, a Runge-Kutta method can be applied to nonlinear coupled ODEs. The non-linearity does not really cause an issue with explicit methods such as the Runge-Kutta method.
LIFE SAVER
Can you give this Matlab code?
Can you give this Matlab code?
May God reward you for all your efforts and all the valuable information that you provide us smoothly .
Thanks for the video, helped me with my research project so much!
%Writing the code here. Anyone who wants to copy it, copy it! Nx=50; Ny=50; Lx=5; Ly=5; x=linspace(0,Lx,Nx); y=linspace(0,Ly,Ny); dx=x(2)-x(1); dy=y(2)-y(1); N=Nx*Ny; M=zeros(N,N); B=zeros(N,1); %phi_vec=inv(M); for i=2:Nx-1 for j=2:Ny-1 n=i+(j-1)*Nx; M(n,n)= -4; M(n,n-1)= 1; M(n,n+1)= 1; M(n,n-Nx)=1; M(n,n+Nx)=1; B(n,1) =0; end end % BC: i=1; for j=1:Ny; n=i+(j-1)*Nx;%nth linha para essa ij M(n,n)=1;%diagonal principal B(n,1)=y(j);%CI am y_j end %lado direito phi=1-y i=Nx; for j=1:Ny n=i+(j-1)*Nx;%nth linha para essa ij M(n,n)=1;%diagonal principal B(n,1)=1-y(j);%CI am y_j end %lado de baixo phi=x j=1; for i=1:Nx n=i+(j-1)*Nx;%nth linha para essa ij M(n,n)=1;%diagonal principal B(n,1)=x(i);%CI am x_i end %lado de cima phi=1-x j=Ny; for i=1:Nx n=i+(j-1)*Nx;%nth linha para essa ij M(n,n)=1;%diagonal principal B(n,1)=1-x(i);%CI am x_i end %phi_vec=M\B; disp(M); phi_vec=inv(M)*B; for i=1:Nx for j=1:Ny n=i+(j-1)*Nx; phi(i,j)=phi_vec(n); end end surf(x,y,phi') xlabel('x') ylabel('y')
thank you so much , sir.
Actually truncation error's components are local and propagated error, summation of these two gives the global truncation error as far as I know. Am ı wrong?
Would have been very nice to have pasted the code in the description as well.
Thank u so much,
You are the best
very ...approximative work. Not rigourous. Bad video
How can I define the boundary in my case 1000, 500, 50, and 0 ?. how can I apply it in the code ? some one please help me :)
Simple and clear. Thanks.
Thanks
These videos are excellent and easy to follow and implement. Prof Owkes any reference text that you can recommend for these topics, especially the finite difference method
Numerical Methods for Engineers by Chapra is a good reference.
@@prof.markowkes-montanastat3851 THANK YOU
Do you have any video on Method of Lines?
Sir, please solve the same using finite element method. Thank you
Thank you very much!!!
so your using my method because my last name is heun?
nice videos. this is such a great help that i can understand matlab PDE coding.
Sir, Is this also equal to first order RK method simultaneous equation?
with matlab