Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
519736 | Journal of Computational Physics | 2015 | 20 Pages |
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.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Roberto Garrappa, Igor Moret, Marina Popolizio,