About one especial feature of numerical solution of the Poisson equation

A calculating formula to solve Poisson equation with boundary conditions conforming to its exact solution is proposed. In this formula an inhomogeneous term is replaced by Laplace operator in a revolved coordinate system. The numerical solution received by this formula is considerably more accurate...

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Bibliographic Details
Main Author: A. B. Chaadaev
Format: Article
Language:Russian
Published: MIREA - Russian Technological University 2011-08-01
Series:Тонкие химические технологии
Subjects:
Online Access:https://www.finechem-mirea.ru/jour/article/view/825
Description
Summary:A calculating formula to solve Poisson equation with boundary conditions conforming to its exact solution is proposed. In this formula an inhomogeneous term is replaced by Laplace operator in a revolved coordinate system. The numerical solution received by this formula is considerably more accurate than the solution with using of the tradition form inclusive the inhomogeneous term.
ISSN:2410-6593
2686-7575