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EnglishThe 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.
| Titolo: | Solving the time-fractional Schrödinger equation by Krylov projections methods |
| Autori: | |
| Data di pubblicazione: | 2014 |
| Rivista: | |
| 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. |
| Handle: | http://hdl.handle.net/11368/2817327 |
| Digital Object Identifier (DOI): | 10.1016/j.jcp.2014.09.023 |
| Appare nelle tipologie: | 1.1 Articolo in Rivista |
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