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

Riccardo Droghei

Riccardo Droghei

Institute of Marine Sciences, National Research Council of Italy (ISMAR-CNR)Rome, Italy
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Droghei, Riccardo
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Clemente Cesarano

Clemente Cesarano

  • International Telematic University UninettunoRome, Italy
  • Istituto per le Applicazioni del CalcoloItaly
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Cesarano, Clemente
 and 
Artur Ishkhanyan

Artur Ishkhanyan

Institute for Physical ResearchAshtarak, Armenia
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Ishkhanyan, Artur
  
Oct 12, 2024
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Published Online: Oct 12, 2024
Page range: 60 - 68
Received: Jun 25, 2024
Accepted: Sep 10, 2024
DOI: https://doi.org/10.2478/caim-2024-0013
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© 2024 Riccardo Droghei et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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.

Language:
English
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1 times per year
Journal Subjects:
Mathematics, Numerical and Computational Mathematics, Applied Mathematics
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