Work

Examining the Mathematica algorithm for general Heun function calculation: a comparative analysis

Year: 2024

Type: article

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.

Source: Communications in Applied and Industrial Mathematics

DOI: 10.2478/caim-2024-0013

Authors: Riccardo Droghei, Clemente Cesarano, Artur Ishkhanyan

Institutions: Istituto di Scienze Marine del Consiglio Nazionale delle Ricerche, National Research Council, Istituto per le Applicazioni del Calcolo Mauro Picone, UniNettuno University, Institute for Physical Research

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funder: European Space Agency

OpenAlex ID: W4403369144