Title :
Computation of the Schroedinger Equation via the Discrete Derivatives Representation Method: Improvement of Solutions Using Particle Swarm Optimization
Author :
Zerarka, A. ; Saidi, H. ; Khelil, N.
Author_Institution :
Labo de Math. Appl., UniversiteMed Khider, Biskra, Algeria
Abstract :
We develop the discrete derivatives representation method (DDR) to find the physical structures of the Schrodinger equation in which the interpolation polynomial of Bernstein has been used. In this paper the particle swarm optimization (PSO for short) has been suggested as a means to improve qualitatively the solutions. This approach is carefully handled and tested with a numerical example.
Keywords :
Schrodinger equation; interpolation; particle swarm optimisation; polynomials; Bernstein interpolation polynomial; PSO; Schroedinger equation; discrete derivative representation method; particle swarm optimization; Eigenvalues and eigenfunctions; Electronic mail; Hydrogen; Interpolation; Partial differential equations; Particle swarm optimization; Physics computing; Polynomials; Testing; Wave functions; Discrete derivatives; particle swarm; spectra; wave function;
Conference_Titel :
Natural Computation, 2009. ICNC '09. Fifth International Conference on
Conference_Location :
Tianjin
Print_ISBN :
978-0-7695-3736-8
DOI :
10.1109/ICNC.2009.17
