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Inability to utilize NewtonRaphon plugin
 Rank: Newbie
Groups: Registered
Joined: 08/03/2024(UTC) Posts: 5 
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Hello all It's been quite some time that I've known for the non linear solvers of Davide, and always wanted to give it a go in solving some equations, but I don't think I understand fully how to operate them. Everytime I try and use the NewtonRaphson plugin I get an everlasting calculation, which I can only assume is some sort of continupus cycle, due to the fact that the expression itself is not difficult. In the Attachment I will leave my sheet, as I would really appreciate any assistance on the subject. I'm here to understand the feature, as, again, I am very ignorant on the subject, and would appreciate every response I get. Thanks in advance.  Error in NewtonRaphon plugin.sm (187kb) downloaded 12 time(s).
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  Rank: Advanced Member Groups: Registered
Joined: 23/12/2012(UTC) Posts: 41  Was thanked: 153 time(s) in 119 post(s)
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Hi Joao,
In the annexed file, I included a simple and robust numerical procedure - the dichotomy.
I hope to help a little,
Best regards,
Ioan Error in NewtonRaphon plugin Ioan.sm (197kb) downloaded 7 time(s).
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Rank: Newbie
Groups: Registered
Joined: 08/03/2024(UTC) Posts: 5
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Originally Posted by: ioan92  Hi Joao,
In the annexed file, I included a simple and robust numerical procedure - the dichotomy.
I hope to help a little,
Best regards,
Ioan Error in NewtonRaphon plugin Ioan.sm (197kb) downloaded 7 time(s). Dear ioan92, First of all, Thank you for you very appreciated response. Secondly, I must say allthough I can see you've achieve the same result as I did, I can't say for sure what exactly is happening in the numerical procedure you've wrote. Is there any way you can explain to me what is necesserely happening? I'm extremly curious on what you did. Again, very much appreciated any response you've given. Best Regards.
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Rank: Advanced Member Groups: Registered
Joined: 23/12/2012(UTC) Posts: 41 Was thanked: 153 time(s) in 119 post(s)
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Dear Joao,
1. The dichotomy or bisection method is well known technique for finding equations solutions. Of course, there are some conditions for the right use. Take a look here:
https://en.wikipedia.org/wiki/Bisection_method
2. I used your equation as you wrote in your file. I simply avoided units. So the solution obtained is verified in your equation. You obtained the same; nothing abnormal.
3. If the result x/h = 0.225 is not acceptable for you, take a look on the input data and on the equation.
4. I've seen that in your Newton-Raphson application, the solution is outside the initial range you proposed.
Regards,
Ioan
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Rank: Newbie
Groups: Registered
Joined: 08/03/2024(UTC) Posts: 5
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Dear Ioan92,
I understand now. Thank you very much for the responses and time availability, it has been truly helpfull.
Best regards for future projects
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