How can I correctly use consecutive numbers in a iteration?

Hi there!

I have this formula : Ek = mk + e*sin(ek). I know 'mk' and I know 'e'.

To find out the value of Ek I have to use iteration, that's what my teacher told me.

He said :

#1 ek = mk that means e1 = mk + e*sin(ek)

#2 e2 = mk + e*sin(e1)

#3 e3 = mk +e*sin(e2)

It must stop when ei+1-ei>tolerance (tolerance = 10^-12).

That,s what I did but it is not working :(.

ia=10^-11;    
tol=10^-12;  
ek=mk;
while ia>tol
    ei+1-ei>tol;
    e1=mk+e*sin(mk);
    e2=mk+e*sin(e1);
    ei+1=mk+e*sin(ei);      %The expression to the left of the equals sign is not a valid target for an assignment

That's the error I get at the end.

Thanking you!

Answer 1

[CARLOS RIASCOS]

Hello friend, I did this for you, I hope it helps you.

Note: Change the values of the variables mk and e to the values that you say already have.

    clear all

    mk=0.01;
    e=0.5;

     i=1;
     ek(i) = mk;

     tol=10e-12;
     ia = 10e-11;
     while abs(ia) > tol

         ek(i+1) = mk + e*sin(ek(i));
         ia= ek(i+1) - ek(i);

         i=i+1;

     end
    disp('End value of ek:')
    disp(ek(end))

[gblmtc]

Hei!

Thank you very much, Carlos!!

It works perfectly!!