Resolving errors with Raphson method

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Hello,
I am having difficulties in writing a Raphson method using a while loop. Matlab keeps returning error: y(0): "subscripts must be either integers 1 to (2^63)-1 or logicals". I have tried to change my code several times, to try to solve this problem, but I have been unsuccesful. I am wondering if anyone has any suggestions on how to solve this problem?
  4 个评论
Dyuman Joshi
Dyuman Joshi 2023-9-17
You have to loop over the values [1 2 3 ... length(x)], right? If yes, why not use a for loop? Because you are not breaking out of the while loop if a condition is met.
Also, I don't understand why you are adding x(i) to i, in the last line of the while loop.
Alexander
Alexander 2023-9-17
Switched to a for loop and it works much better

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Star Strider
Star Strider 2023-9-17
My pleasure!
The ‘y’ assignment needs to be an anonymous function, if I understand correctly what you want to do.
That change produces this result —
L = 1;
x = linspace(0,1,100);
y = @(x) (8*x)/(3*L) - 3*(x/L).^2 + (1/3)*(x/L).^3 - (2/3)*sin((pi*x)/L); % Anonymous Function
uy = 1/6*y(x);
figure
plot(x, y(x), 'DisplayName','y(x)')
hold on
plot(x, uy, 'DisplayName','uy(x)')
hold off
grid
xlabel('x')
ylabel('Function Values')
legend('Location','best')
See the documentation on Anonymous Functions for details. Call them as you would any other function. Similar to variables, they must be defined before they are used in the code they are implemented in.
.
  2 个评论
Alexander
Alexander 2023-9-17
Thank you so much for your solution!
I got the whole code running now, I switched from a while loop to a much simpler for loop and it runs smoothly!

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