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Solving the time-fractional Schrödinger equation by Krylov projections methods

R. GARRAPPA
•
MORET, IGOR
•
M. POPOLIZIO
2014
  • journal article

Periodico
JOURNAL OF COMPUTATIONAL PHYSICS
Abstract
The time-fractional Schrödinger equation is a fundamental topic in physics and its numerical solution is still an open problem. Here we start from the possibility to express its solution by means of the Mittag–Leffler function; then we analyze some approaches based on the Krylov projection methods to approximate this function; their convergence properties are discussed, together with related issues. Numerical tests are presented to confirm the strength of the approach under investigation.
DOI
10.1016/j.jcp.2014.09.023
Archivio
http://hdl.handle.net/11368/2817327
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-84937863090
Diritti
metadata only access
Soggetti
  • Time-fractional Schro...

  • Mittag-Leffler functi...

  • Krylov subspace metho...

Web of Science© citazioni
54
La settimana scorsa
1
Data di acquisizione
Mar 27, 2024
Visualizzazioni
4
Data di acquisizione
Apr 19, 2024
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