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:	poisson equation finite-difference method partial differential equation boundary value problem directional derivative laplace operator revolved coordinate system method of transition to a steady state
Online Access:	https://www.finechem-mirea.ru/jour/article/view/825

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spelling	doaj-6bad04b4249b4df8a8165732620efc622021-07-28T13:23:54ZrusMIREA - Russian Technological UniversityТонкие химические технологии2410-65932686-75752011-08-0164111112819About one especial feature of numerical solution of the Poisson equationA. B. Chaadaev0ИНЭОС им. А.Н. Несмеянова РАНA 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.https://www.finechem-mirea.ru/jour/article/view/825poisson equationfinite-difference methodpartial differential equationboundary value problemdirectional derivativelaplace operatorrevolved coordinate systemmethod of transition to a steady state
collection	DOAJ
language	Russian
format	Article
sources	DOAJ
author	A. B. Chaadaev
spellingShingle	A. B. Chaadaev About one especial feature of numerical solution of the Poisson equation Тонкие химические технологии poisson equation finite-difference method partial differential equation boundary value problem directional derivative laplace operator revolved coordinate system method of transition to a steady state
author_facet	A. B. Chaadaev
author_sort	A. B. Chaadaev
title	About one especial feature of numerical solution of the Poisson equation
title_short	About one especial feature of numerical solution of the Poisson equation
title_full	About one especial feature of numerical solution of the Poisson equation
title_fullStr	About one especial feature of numerical solution of the Poisson equation
title_full_unstemmed	About one especial feature of numerical solution of the Poisson equation
title_sort	about one especial feature of numerical solution of the poisson equation
publisher	MIREA - Russian Technological University
series	Тонкие химические технологии
issn	2410-6593 2686-7575
publishDate	2011-08-01
description	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.
topic	poisson equation finite-difference method partial differential equation boundary value problem directional derivative laplace operator revolved coordinate system method of transition to a steady state
url	https://www.finechem-mirea.ru/jour/article/view/825
work_keys_str_mv	AT abchaadaev aboutoneespecialfeatureofnumericalsolutionofthepoissonequation
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About one especial feature of numerical solution of the Poisson equation

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