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

Riccardo Droghei; Clemente Cesarano; Artur Ishkhanyan

doi:10.2478/caim-2024-0013

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

Communications in Applied and Industrial Mathematics

Volume 15 (2024): Issue 2 (October 2024)

By: Riccardo Droghei, Clemente Cesarano and Artur Ishkhanyan

Open Access

|Oct 2024

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.

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Articles in this issue

DOI: https://doi.org/10.2478/caim-2024-0013 | Journal eISSN: 2038-0909

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Language: English

Page range: 60 - 68

Submitted on: Jun 25, 2024

Accepted on: Sep 10, 2024

Published on: Oct 12, 2024

Published by: Italian Society for Applied and Industrial Mathemathics

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

General Heun function,

hypergeometric function,

numerical simulations,

analytic solution,

Wolfram Mathematica

Related subjects:

Mathematics,

Numerical and computational mathematics,

Applied mathematics

© 2024 Riccardo Droghei, Clemente Cesarano, Artur Ishkhanyan, published by Italian Society for Applied and Industrial Mathemathics
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 15 (2024): Issue 2 (October 2024)