Chapter 08.06: Lesson: Shooting Method: Example: Part 1 of 4
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- Опубликовано: 26 авг 2024
- Learn how to use shooting method to solve boundary value problems for an ordinary differential equation. For more videos and resources on this topic, please visit nm.mathforcolle...
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legend still giving reply after 10 years
I have missed a few - so giving reply if someone else has the same question!
After 13 years, you are still helping students who stuck in just a day before the exam like me. hope this lasts for the next 200 years as well🙂
So thoughtful. Thanks!
Watching after 12 years and it's still helpful. Many batches have passed out but this video is still here to help new students!! Amazing
To get even more help, subscribe to the numericalmethodsguy channel, and go to MathForCollege.com/nm and MathForCollege.com/ma for more resources and share the link with your friends through social media and email.
Salute to those teachers whose videos we are watching to crack our semester exams.
I think this is why it's called the shooting method. You make a guess of the derivative at 0, then see if it gets to the other boundary condition at y(9)=0... if it falls short, you aim higher, say y'(0)=10... So you are shooting, and your arrow travels on the trajectory defined by the differential equation...
Well Explained. Thank you kindly for such clarity. You are appreciated!
You are so incredibly clear with your lectures!!
Why can't other youtube videos be this clear, love this professor, thank you ❤️
To get even more help, subscribe to the numericalmethodsguy channel, and go to nm.MathForCollege.com and ma.MathForCollege.com for more resources and share the link with your friends through social media and email.
Best video on Shooting method. Just loved it
Watching it nearly after 10 years and sir you are an amazing teacher, thank you for making these videos 🥺
Yeah same here, 😂 lol
Watching it after nearly 10 years😂
same
After 10 year bruh
I'm here after 11 years 😅
Here after 11 years hahaha
After 12 years🤣✌
YOU ARE AMAZING. You saved my life, my grade and my sanity lol
This is a boundary value problem. Conditions are given at x=0 and x=9. But Euler's method works for ODEs that only have initial conditions. So we assume the initial conditions that are not given - in this case y'(0) and find a good estimate of it so that it satisfies the condition at x=9.
thank u so much sir u also saved my life... even our teacher follows you.... he is big fan of you and needs ur autograph
Thank you. Sure, I can send an autograph - just send me the address.
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If y(0) is not a boundary condition, then y'(0) is an unknown. You should not have to measure it as it can change from problem to problem. A simply supported beam of length L will yield different values for y'(0) depending on it's Young's modulus, second moment of area, loading, etc. The only thing we know if that y(0)=0 and y(L)=0, where y is the deflection of the beam.
Yes, this method works for nonlinear ODEs also.
thank you so much these videos are soo helpful
Very clear explanation - thank you!
Thank you from somewhere in South Africa!
Thank you. I could easily understand the method from your video rather than reading related papers!
I do not know personally of a method that will solve with the BC at infinity!
on what basis should i assume the value for y'(0) ?
Just a guess.
sir but if y' value is given and last yn value is unknown like find for y(0.2) using shooting method what should we do in that case yesterday that was asked in question
should we choose two values such that q will be of opposite signs ????
or any value is okay
Any value is OK. It may not work though!
This is amazing, Thank you. Using Applied Numerical Methods with Matlab and alot of things are not shown. Thank you so very much!
Sir , explain me how do you take the y'(0)=4
Just a guess to begin with.
Shall we take y'(0)=9 or something
@@harisanthoshkumar7449 It does not matter!
Thank you but i have a question
The condition of the derivative of y(0)=4 is given or what ?
same question ..
just a guess very old comment:D just in case any one still has same question
Doesn't this method applies for non linear BVP? Do you have an example about that? I need to solve a non linear BVP with domain non defined. (Boundary condition at infinity)
Ok. I would like to know if this method works for non linear problems? specially the part when you apllied the interpolation, after the two iterations.
Sigma Mathematics Students after 13 years ❤️
Can you give link of second part please 🙏
nm.mathforcollege.com/chapter-08-06-shooting-method/
Hi, Thank you for explaining. Why is there equations in the form yi+1 and zi+1?
Hi. I have a question. Why we guessing y'(0)=4 since we are given y(0)=0. Are these y(0) and y'(0) are not connected to each other? I mean we all know if y(0)=0 surely its y'(0) also equal to 0 right? Sorry, if you dont understand my question.
I've been trying to understand your question for 3 years. You should be very sorry, I still dont understand it.
As an example, if y(x)=3x, then y'(x)=3. So y(0)=0 and y'(0)=3.
Un ThE literature they asume that y'(0) as 1 forma example but in a problem of engineering shall i measure that condition? Thank you forma you answer sir
why do you asume some values?
Will you please upload another example of this one using Runge Kutta 2nd Order.
How do you do shooting if the original BVP has two Neumann boundary conditions?
Thanks ❤a lot sir
Finally after 12 years I'm here😁😁
never assume that if y(0)=0 then y'(0)=0
simple example: y(x)=x then y(0)=0 but y'(0)=1..
Is it for linear or non linear differential equation???
So clear!
Do you have a non linear case? Dear, Thanks
My degree should have youtube as a reference
Watching this after 12 years
Spread the word.
No, both are not zero. The boundary condition at x=0 is y=0, not y'. If a function is sin(x), it is zero at x=0. But its derivative is cos(x), it is 1 at x=0.
@JSA19882007 No, there is no such rule as a single point cannot point out such assumptions.
Sir how u take h value
thank you!
@JSA19882007 If he is doing the problem in matrix form, follow that as it gives a more general and algorithmic way of solving the problem. You can follow my work first and then follow your professor's
❤
Hallo can you help me with shooting method...I send you my task?
Got to do it yourself. That is how you learn. Ask for help from your instructor!
this is 2024. thank you
99
Can I hage your contacts?
hey
pure
😯😯😯😯😯
i hate numerical analysis. cool video though.