DocumentCode
2197741
Title
A genetic algorithm approach to the solution of a differential equation
Author
MacNeil, Paul E. ; Schultz, Scott R.
Author_Institution
Sch. of Eng., Mercer Univ., Macon, GA, USA
fYear
2010
fDate
18-21 March 2010
Firstpage
448
Lastpage
450
Abstract
This paper proposes an approach to solving differential equations by using a genetic algorithm to adjust parameter values in candidate solutions so as to minimize the sum squared error of the differential equation. An example solution is developed for a differential equation representing an electron in the Coulomb potential of two protons. Two measurable parameter values are estimated via this process and compared with published values.
Keywords
differential equations; genetic algorithms; mean square error methods; Coulomb potential; differential equation; genetic algorithm; mean sum square error; Atomic measurements; Biological cells; Differential equations; Eigenvalues and eigenfunctions; Electrons; Genetic algorithms; Genetic engineering; Genetic mutations; H infinity control; Protons;
fLanguage
English
Publisher
ieee
Conference_Titel
IEEE SoutheastCon 2010 (SoutheastCon), Proceedings of the
Conference_Location
Concord, NC
Print_ISBN
978-1-4244-5854-7
Type
conf
DOI
10.1109/SECON.2010.5453833
Filename
5453833
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