Genetic algorithms and solutions of an interesting differential equation
Paul E. MacNeil · 2008
The Schrodinger equation is a second order differential equation that describes and governs many real world systems of interest. Analytical techniques are sufficient to solve this equation for some simple systems, and numerical techniques can provide adequate approximate solutions for somewhat more complex problems. However, attempts to use numerical techniques for yet more complex systems, some of great interest, have proven to be beyond the capabilities of conventional computing resources. Computational intelligence techniques have been applied in some approaches to addressing this problem. This paper reports an approach to using genetic algorithms with "mixed" analytical wave functions, to solve the Schrodinger equation.