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Student Support Forum: 'Fredholm integral equation' topicStudent Support Forum > General > "Fredholm integral equation"

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Roman
11/20/02 05:26am

is it possible to solve the following problem with mathematica? are there any previous solutions available?

problem:
from the set of i equations
a = INTEGRAL [ f(x) * r(x) ] with i = 1,...,N
one should derive the function r(x) by unfolding methods. /N is 10, means 10 f(x) distributions to fit/

a are given numbers from i=1,..,N
f(x) are continuous positive smooth distributions /x from 1 to 1000 step 1/ also for i=1,..,N

this mathematical problem belongs to the family of Fredholm Integral-equations of the first order. the process is called unfolding of the numerical solution.

thank you very much for any instruction!

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