abstract = "It is known that Fredholm integral equations of the
first kind with the kernel occur when solving with
problems of synthesis of electrostatic and magnetic
fields (m, n nonnegative rational numbers). This paper
presents two approaches for solving such an equation.
The first one involves discretisation by a collocation
method and numerical solution using an approximate
orthogonalisation algorithm. The second method is based
on a nature inspired heuristic, namely genetic
programming. It applies genetically-inspired operators
to populations of potential solutions in the form of
program trees, in an iterative fashion, creating new
populations while searching for an optimal or
near-optimal solution to the problem at hand. Results
obtained in experiments are presented for both
approaches.",
notes = "Paper presented at the 7th International Balkan
Workshop on Applied Physics, 5-7 July 2006, Constanta,
Romania.