A direct Numerov sixth order numerical scheme to accurately solve the unidimensional Poisson equation with Dirichlet boundary conditions

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dc.creatorBernardes, Esmerindo
dc.date2007-12-11
dc.date.accessioned2026-07-07T08:48:35Z
dc.date.available2026-07-07T08:48:35Z
dc.descriptionIn this article, we present an analytical direct method, based on a Numerov three-point scheme, which is sixth order accurate and has a linear execution time on the grid dimension, to solve the discrete one-dimensional Poisson equation with Dirichlet boundary conditions. Our results should improve numerical codes used mainly in self-consistent calculations in solid state physics.
dc.description6 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/0712.1706
dc.identifierhttp://arxiv.org/abs/0712.1706
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143994
dc.subjectMesoscale and Nanoscale Physics
dc.subjectMaterials Science
dc.titleA direct Numerov sixth order numerical scheme to accurately solve the unidimensional Poisson equation with Dirichlet boundary conditions
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