Blog Entries: 1

## Newton Raphson Method on Fortran90

Here's what I need to do:

"Compare the effectiveness of the bisection method and Newton’s method for the
equation x^3−2x−2 = 0 which has a single root between x=−4 and x = 2."

So far I've done

ok. this is working but of course I need to do iteration which I don't know how. Can someone teach me please? I'm trying the Newton-Raphson Method first.

Thanks for the help in advance.

EDITED: Sorry, I posted the wrong pic earlier. Here's the correct one.
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 Code: program nr real:: x, xnew, err write(*,*) "starting x?:" read(*,*) x do xnew = x - ( (x**3 - (2*x) - 2) / ( ( 3*(x**2) )-2) ) err = 100*abs( (xnew-x)/x ) x = xnew write(*,*) "x = ", xnew, " error = ", err if (err < 0.000001) exit end do end program nr
 Blog Entries: 1 thanks :))) Is that the iteration already?

## Newton Raphson Method on Fortran90

Yes.

Isn't it? Run it and verify the solution