A generalized Numerov method for linear second-order differential equations involving a first derivative term
Numerical Analysis
2025-10-20 v1 Numerical Analysis
Abstract
The Numerov method for linear second-order differential equations is generalized to include equations containing a first derivative term. The method presented has the same degree of accuracy as the ordinary Numerov sixth-order method. A general scheme of the application to the numerical solution of the Hartree-Fock equations is considered.
Cite
@article{arxiv.math/0210320,
title = {A generalized Numerov method for linear second-order differential equations involving a first derivative term},
author = {V. I. Tselyaev},
journal= {arXiv preprint arXiv:math/0210320},
year = {2025}
}
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7 pages