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Journal of Mathematical Chemistry

, Volume 57, Issue 3, pp 834–857 | Cite as

New multiple stages multistep method with best possible phase properties for second order initial/boundary value problems

  • Ibraheem Alolyan
  • T. E. SimosEmail author
Original Paper
  • 46 Downloads

Abstract

A new multiple stages multistep method with best possible phase and stability properties is recommended, for the first time in the literature. A detailed theoretical and numerical analysis is also developed. The capacity of the new algorithm is tested by applying it on the solution of the solution of the Schrödinger equation.

Keywords

Schrödinger equation Multistep methods Multistage methods Interval of periodicity Phase-lag Phase-fitted Derivatives of the phase-lag 

Mathematics Subject Classification

65L05 

Notes

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.

Supplementary material

10910_2018_986_MOESM1_ESM.pdf (189 kb)
Supplementary material 1 (pdf 188 KB)

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© Springer Nature Switzerland AG 2018

Authors and Affiliations

  1. 1.Department of Mathematics, College of SciencesKing Saud UniversityRiyadhSaudi Arabia
  2. 2.Department of Automation EngineeringTEI of Sterea HellasPsachnaGreece
  3. 3.Section of Mathematics, Department of Civil EngineeringDemocritus University of ThraceXanthiGreece
  4. 4.AthensGreece

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