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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General Heun function,hypergeometric function,numerical simulations,analytic solution,Wolfram Mathematica,Second-order linear equations),Hypergeometric functions),Special functions)
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