- author = "Elena Bautu and Elena Pelican",
- title = "Numerical Solution For {Fredholm} First Kind Integral Equations Occurring In Synthesis of Electromagnetic Fields",
- journal = "Romanian Journal of Physics",
- year = "2007",
- volume = "52",
- pages = "245--256",
- number = "3-4",
- publisher = "Romanian Academy Publishing House",
- keywords = "genetic algorithms, genetic programming, Gene Expression Programming, Fredholm integral equations of the first kind, inverse problems",
- ISSN = "1221-146X",
-
URL = "
http://www.nipne.ro/rjp/2007_52_3-4.html",
-
URL = "
http://www.nipne.ro/rjp/2007_52_3-4/0245_0257.pdf",
- size = "12 pages",
- 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.
http://www.nipne.ro/rjp/
Cited by \cite{Sammany:2011:Computing}",
