Shooting Method coding in MATLAB (ode45 | fzero): Lecture 7(a)

Ғылым және технология

This video contains the construction of shooting method code for second order nonlinear differential equation with ode45 and fzero command in MATLAB.

Пікірлер: 47

  • @samuelanderson8112
    @samuelanderson81126 жыл бұрын

    Thank you for this great example!

  • @sarveshboodoo3291
    @sarveshboodoo32913 жыл бұрын

    Hello, For the plot part, I tried to insert the analytical solution on the same graph. However, the output is only giving me the analytical solution and a flat horizontal line at x=0. How can I solve that? Thank you

  • @edholanda5897
    @edholanda58973 жыл бұрын

    Professor how would I solve this system of first order edos numerically by plotting the graph for the different values ​​of (n). the derivatives are in relation to ha (r). a'/r = -e^2*v^2*(g^2 - 1) g' = - a*g/r given the boundary conditions a(0) = n a(inf)=0 g(0) = 0 g(inf)=1 where (e)=0.5 and (v)=1 are constant and n variavel. please give a helping hand there, I looked for and did not find any problems like this on the matlab website.

  • @ajeetkumarverma2483
    @ajeetkumarverma24836 жыл бұрын

    hlo sir i run same code on my matlab R2013a it gives lots of warning in options line and one error in fzero solver line 5. how to handle this pls suggest me

  • @26goldnugge
    @26goldnugge4 жыл бұрын

    you really help me out.

  • @8hng
    @8hng2 жыл бұрын

    excellent... job well done.

  • @Priya-hu7db
    @Priya-hu7db2 жыл бұрын

    In dy=zeros(2,1) what does it actually mean? I am not getting how (2, 1) are taken.Please tell.

  • @sanjeevsharma-tn3gq
    @sanjeevsharma-tn3gq7 жыл бұрын

    Thanks Dr. Rana.

  • @akshayram2944
    @akshayram29444 жыл бұрын

    Hlo Rana sir, I am trying to solve six dof coupled non linear differential equation which I am trying solve by using ode45 solver. But, the problem is that I need update the coordinates for Every time Interval. Can you help me out to solve it ?

  • @karimmosli8637
    @karimmosli8637 Жыл бұрын

    Hello sir l have one problem with bvp4c function,i have written program for solving second order nolinear ode ,can you help me please

  • @emmitsawyer
    @emmitsawyer5 жыл бұрын

    Dear Sir; What if I have a derivative BC in on the upper or lower limit of the domain?

  • @scientificrana5650

    @scientificrana5650

    5 жыл бұрын

    send me your problem on my email id scientificrana@gmail.com

  • @Levi-kq8ey
    @Levi-kq8ey6 жыл бұрын

    Thank you

  • @DrSohailAhmad-rr6he
    @DrSohailAhmad-rr6he Жыл бұрын

    Hlo Rana sir, I am trying to solve 4 coupled non linear differential equation which I am trying solve by using ode45 solver. Do you have any related video please send me the link

  • @ashwin2112
    @ashwin21127 жыл бұрын

    Hello Dr. Rana, In line 9, you use odeset function. I don't understand the actual use of it. I tried reading about it. And also I took it out of the code and it still solves. BR

  • @scientificrana5650

    @scientificrana5650

    7 жыл бұрын

    Odeset is necessary options only when you wish to change the tolerances. I mean you can loose the error thresholds using odeset to avoid default tolerances. If the tolerances are decreased, the accuracy of the result and the runtime is increased. This is more or less suitable depends on the complexity and requirement of problem equations. If you need rough results for millions of different initial conditions, larger tolerances are better. If you have enough time to wait and require accurate results, smaller tolerances should be preferred. Have a nice day!!

  • @ashwin2112

    @ashwin2112

    7 жыл бұрын

    Thank you very much for the explanation. On a different note, I'm currently working on my masters thesis. It involves modelling and simulation of semiconductors. I'm faced with solving the drift-diffusion equations, which are basically set of second order nonlinear PDEs. For now I'm working on 1-D ODE form. I'm very new to discrete numerical techniques. I plan to use Galerkin's FEM technique to solve it. Would you have any comments or suggestion at this point.

  • @m.faisalhanif6592
    @m.faisalhanif65923 жыл бұрын

    Sir second video nh mile rhe ha is ki

  • @9506595931
    @95065959316 жыл бұрын

    Hello Dr. Rana, I run your code and encountered with the following bunch of errors: ??? Input argument "x" is undefined. Error in ==> BVP>solver at 12 [t,u]=ode45(@equation, [0, 1], [1, x], options); Error in ==> BVP at 5 x1=fzero(solver,x); Please help me. My code is below for your kind consideration: function BVP clc clear all x = 0.5; x1=fzero(solver,x); end function F = solver(x) options= odeset('RelTol', 1e-8, 'AbsTol', [1e-8, 1e-8]); [t,u]=ode45(@equation, [0, 1], [1, x], options); s=length(t); F= u(s,1)-exp(1); figure(1) plot(t,u(:,1)) end function dy = equation(t,y) dy = zeros(2,1); dy(1) = y(2); dy(2) = t*exp(2*t)+y(1)-t*y(2)^2; end I would appreciate if you could have a look at it. Thank you.

  • @scientificrana5650

    @scientificrana5650

    6 жыл бұрын

    Correct the syntax ""x1=fzero(@solver,x);". You forgot to use "@" .

  • @9506595931

    @9506595931

    6 жыл бұрын

    Thank you Dr. Rana, it worked now.

  • @elsuave2134
    @elsuave21346 жыл бұрын

    Thanks Dr. Rana. I guess my problem is a small but funny one, probably because am still learning. I am supposed to use shooting method to solve a non-linear coupled ODE with boundary conditions. I have tried all possible ways but it seems not to be giving me expected results. Can i share you my code for corrections please?

  • @scientificrana5650

    @scientificrana5650

    6 жыл бұрын

    Have you gone through my another video on coupled nonlinear ODE solution kzread.info/dash/bejne/fXmt2rprlNTQg8o.html If yes and didn't achieved success. You can send me your code for possible corrections to my email id scientificrana@gmail.com

  • @Priya-hu7db

    @Priya-hu7db

    2 жыл бұрын

    @@scientificrana5650 Sir,the video on coupled non linear ODE solution is not available to me. It is showing the video is private.Please tell the way by which I can watch the video..

  • @MechanicalCreativeContent
    @MechanicalCreativeContent4 жыл бұрын

    Working program for all your reference function shooting_method clc clear all x=0.5; x1=fzero(@solver,x); end function F=solver(x) options = odeset('RelTol',1e-8,'AbsTol',[1e-8 1e-8]); [t,y]=ode45(@equation,[0 1],[1 x],options); s=length(t); F=y(s,1)-exp(1); figure(1) plot(t,y(:,1)) end function dy=equation(t,y) dy=zeros(2,1); dy(1)=y(2); dy(2)=t*exp(2*t)+y(1)-t*(y(2)^2); end

  • @Priya-hu7db

    @Priya-hu7db

    2 жыл бұрын

    when I tried this, error is coming. function shooting_method clc clear all x=0.5; x1=fzero(@solver,x); end error(function shooting_method Error: Function definitions are not permitted in this context.)

  • @DavidTrejoG
    @DavidTrejoG7 жыл бұрын

    LET'S GOOOOOOOOOOOOOOOO

  • @shahidrafiq962
    @shahidrafiq9627 жыл бұрын

    Dear Dr.Rana i m reciving the following error when i run your code. Plz guide Error using fzero (line 289) FZERO cannot continue because user-supplied function_handle ==> solver failed with the error below. Not enough input arguments. Error in shooting_utube (line 5) x1=fzero(@solver,x);

  • @scientificrana5650

    @scientificrana5650

    7 жыл бұрын

    Are you working on more than one unknowns?. If not then send me your code for possible correction on my email id scientificrana@gmail.com or you can copy and paste the entire code here in the comment. I will reply accordingly. Thanks

  • @shahidrafiq962

    @shahidrafiq962

    7 жыл бұрын

    Thanks for ur reply. here is the code : function shooting_method clc clear all x=0.5; x1=fzero(@solver,x); end function F=solver(x) options=odeset('ReTol',le-8,'AbsTol',[le-8,le-8]); [t,u]=ode45(@equation,[0 1],[1 x],options); s=length(t); F=u(s,1)-exp(1); figure(1) plot(t,u(:,1)) end function dy=equation(t,y) dy=zeros(2,1); dy(1)=y(2); dy(2)=t*exp(2*t)+y(1)-t*(y(2)^2); end

  • @scientificrana5650

    @scientificrana5650

    7 жыл бұрын

    please correct this line. options = odeset('RelTol',1e-8,'AbsTol',[1e-8 1e-8]);

  • @shahidrafiq962

    @shahidrafiq962

    7 жыл бұрын

    Thanks Dr. Rana code is running now.

  • @scientificrana5650

    @scientificrana5650

    7 жыл бұрын

    Most Welcome.

  • @muhammadsafdar4541
    @muhammadsafdar45412 жыл бұрын

    anyone can help me i want to need BVP4C coding

  • @mosespvarghese3835
    @mosespvarghese38356 жыл бұрын

    I have a doubt to solve more than two differential equations using shooting technique. i have sent the required file and matter to your email address.

  • @scientificrana5650

    @scientificrana5650

    6 жыл бұрын

    kzread.info/dash/bejne/fXmt2rprlNTQg8o.html

  • @mosespvarghese3835

    @mosespvarghese3835

    6 жыл бұрын

    i have sent the question to your email. The question is bit different. The boundary condition is not given

  • @m.faisalhanif6592
    @m.faisalhanif65923 жыл бұрын

    Wo khn hn

  • @m.faisalhanif6592
    @m.faisalhanif65923 жыл бұрын

    Is ka link shear kr do

  • @safdar9688
    @safdar9688 Жыл бұрын

    please help me sir

  • @emilyglenn3066
    @emilyglenn30666 жыл бұрын

    Hello Dr. Rana! I sent you an email regarding this code. Please advise! Thank you very much! Best, Emily

  • @kachoabbas2094
    @kachoabbas2094 Жыл бұрын

    any one from here to do matlab program for me

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