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

Section of Mathematics, Department of Civil Engineering, School of Engineering, Democritus University of Thrace, GR-671 00 Xanthi, Greece

Corresponding author. Please use the following address for all correspondence: Dr. T. E. Simos, 26 Menelaou Street, Amfithea - Paleon Faliron, GR-175 64 Athens, Greece. Fax: ++30541 29706, ++301 9413189.

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and

P. S. WILLIAMS

Department of Computing, Information Systems and Mathematics, London Guildhall University, 100 Minories, London EC3N 1JY, UK

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https://doi.org/10.1142/S0129183199000656Cited by:14 (Source: Crossref)

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.

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