Examining the Mathematica algorithm for general Heun function calculation: a comparative analysis
Abstract We investigate the numerical calculation of the general Heun equation using Wolfram Mathematica’s functions, comparing the numerical solutions with hypergeometric and explicit solutions. This exploration sheds light on the efficacy and accuracy of the numerical algorithm implemented in Mathematica for computing Heun functions.
Authors
- Artur Mikhailovich Ishkhanyan (ORCID: https://orcid.org/0000-0001-8986-6852)
- Riccardo Droghei (ORCID: https://orcid.org/0000-0002-8820-1522)
- Clemente Cesarano (ORCID: https://orcid.org/0000-0002-1694-7907)
Institutions
- Institute for Physical Research (AM)
- Istituto per le Applicazioni del Calcolo Mauro Picone (IT)
- Istituto di Scienze Marine del Consiglio Nazionale delle Ricerche (IT)
- National Research Council (IT)
- UniNettuno University (IT)
Publication Details
- Journal
- Communications in Applied and Industrial Mathematics
- Published
- 2024-10-01
- DOI
- https://doi.org/10.2478/caim-2024-0013
- Citations
- 1
- Primary Topic
- Magnetic confinement fusion research
- Type
- article
- Field-Weighted Citation Impact
- 0.66
Funders
- European Space Agency