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Solving a non linear problem (Integral Equation) [message #44677]

Thu, 07 July 2005 11:45

francesca_terenzi
Messages: 8
Registered: July 2005

Junior Member

Hi Folks, Dr. Fanning suggested me to write to this newsgroup and see
if someone of you can help me...

I'd like to solve (with IDL) a non linear problem of the kind:

x(t)-y(t)=I(t),

where:

-x(t)=known time series
-y(t)=unknown //

-I(t)=I(y(t))=[f(y)*G](t) is the convolution of a function f (which is
an implicit function of y) with a Green's type of function (assumed
to be known).

-The time t belongs to a certain range.

For a number of resons, I wanted to try to solve this using the
Newton's Method. I am not sure if this is the best way (if not, maybe
someone of you can tell me), and supposed it is an ok method, I am not
sure how to practically use the built in NEWTON routine in IDL as my
unknwon y is implicitally contained also in the integrand....

I would appreciate if some of you can help me
Best Regards
Francesca

p.s. Please, let me know if I was not clear, or if I gave too little
details. I tried to be as short as possible in this first document...

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Solving a non linear problem (Integral Equation)

By: francesca_terenzi on Thu, 07 July 2005 11:45

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