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A. Zerarka, S. Hassouni, H. Saidi and Y. Boumedjane, “Energy Spectra of the Schrödinger Equation and the Differential Quadrature Method,” Communication in Nonlinear Science and Numerical Simulation, Vol. 10, 2005, pp. 737-745.

has been cited by the following article:

• TITLE: Computation of the Schrödinger Equation via the Discrete Derivatives Representation Method: Improvement of Solutions Using Particle Swarm Optimization

  AUTHORS: Abdelwahab Zerarka, H. Saidi, A. Attaf, N. Khelil

  KEYWORDS: Discrete Derivatives, Spectra, Wave Function, Particle Swarm

  JOURNAL NAME: Journal of Modern Physics, Vol.1 No.1, May 7, 2010

  ABSTRACT: We develop the discrete derivatives representation method (DDR) to find the physical structures of the Schrödinger 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 solu-tions. This approach is carefully handled and tested with a numerical example.