A FAMILY OF HYBRID EIGHTH ORDER METHODS WITH MINIMAL PHASE-LAG FOR THE NUMERICAL SOLUTION OF THE SCHRÖDINGER EQUATION AND RELATED PROBLEMS

G. Avdelas, A. Konguetsof and T. E. Simos ()
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G. Avdelas: Laboratory of Applied Mathematics and Computers, Department of Sciences, Technical University of Crete, Kounoupidiana, GR-731 00 Chania, Crete, Greece
A. Konguetsof: Section of Mathematics, Department of Civil Engineering, School of Engineering, Democritus University of Thrace, GR-671 00 Xanthi, Greece
T. E. Simos: Section of Mathematics, Department of Civil Engineering, School of Engineering, Democritus University of Thrace, GR-671 00 Xanthi, Greece

International Journal of Modern Physics C (IJMPC), 2000, vol. 11, issue 02, 415-437

Abstract: In this paper a family of hybrid methods with minimal phase-lag are developed for the numerical solution of periodic initial-value problems. The methods are of eighth algebraic order and have large intervals of periodicity. The efficiency of the new methods is presented by their application to the wave equation and to coupled differential equations of the Schrödinger type.

Keywords: Phase-Lag; Hybrid Methods; Algebraic Order; Interval of Periodicity; Wave Equation; Schrödinger Equation; Periodic Initial-Value Problems (search for similar items in EconPapers)
Date: 2000
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DOI: 10.1142/S0129183100000365

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