The pointwise error in Hermite interpolation is found by numerically solving a derived differential equation and then approximated by a polynomial added to the Hermite polynomial for improved accuracy.
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Determining the Rolle function in Hermite interpolatory approximation by solving an appropriate differential equation
The pointwise error in Hermite interpolation is found by numerically solving a derived differential equation and then approximated by a polynomial added to the Hermite polynomial for improved accuracy.