How to calculate confluent Heun functions numerically?

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SUMMARY

The discussion focuses on the numerical calculation of confluent Heun functions, highlighting issues with using Maple for this purpose. Users report that Maple does not yield accurate results for the confluent Heun function, prompting a search for alternative software solutions. The need for reliable numerical methods in solving physical models using confluent Heun functions is emphasized.

PREREQUISITES
  • Understanding of confluent Heun functions
  • Familiarity with numerical methods in differential equations
  • Experience with Maple software
  • Basic knowledge of physical modeling techniques
NEXT STEPS
  • Explore alternative software for numerical solutions of confluent Heun functions, such as Mathematica or MATLAB
  • Research numerical methods specifically designed for solving differential equations
  • Learn about the implementation of confluent Heun functions in Python using libraries like SciPy
  • Investigate the theoretical background of confluent Heun functions to better understand their applications
USEFUL FOR

Mathematicians, physicists, and engineers involved in numerical analysis and modeling, particularly those working with confluent Heun functions and seeking accurate computational methods.

dongsh2
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Recently we are studying the physical model using the confluent Heun function, who konws how to solve it numerically by software. We use Maple but it seems not to work well. This means that the results obtained are not correct...
 
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