EXPONENTIALLY-FITTED RUNGE–KUTTA THIRD ALGEBRAIC ORDER METHODS FOR THE NUMERICAL SOLUTION OF THE SCHRÖDINGER EQUATION AND RELATED PROBLEMS

T. E. Simos () and P. S. Williams
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T. E. Simos: Section of Mathematics, Department of Civil Engineering, School of Engineering, Democritus University of Thrace, GR-671 00 Xanthi, Greece
P. S. Williams: Department of Computing, Information Systems and Mathematics, London Guildhall University, 100 Minories, London EC3N 1JY, UK

International Journal of Modern Physics C (IJMPC), 1999, vol. 10, issue 05, 839-851

Abstract: Exponentially and trigonometrically fitted third algebraic order Runge–Kutta methods for the numerical integration of the Schrödinger equation are developed in this paper. Numerical results obtained for several well known problems show the efficiency of the new methods.

Keywords: Runge–Kutta methods; Schrödinger equation; Eigenvalue problems; Bound states; Explicit methods; Exponential fitting (search for similar items in EconPapers)
Date: 1999
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DOI: 10.1142/S0129183199000656

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