Asynchronous algorithms for poisson's equation with nonlinear boundary conditions

M. N. Anwar; M. N. El Tarazi

doi:10.1007/BF02259842

Asynchronous algorithms for poisson's equation with nonlinear boundary conditions

M. N. Anwar
, M. N. El Tarazi

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

Poisson's equation with nonlinear boundary conditions is discretized with the method of lines to obtain a system of second order differential equations with multi-point boundary conditions. This differential system is converted, using invariant imbedding for each one-dimensional problem, into a fixed point problem and then the asynchronous algorithms are applied.

Original language	English
Pages (from-to)	155-168
Number of pages	14
Journal	Computing
Volume	34
Issue number	2
DOIs	https://doi.org/10.1007/BF02259842
Publication status	Published - Jun 1985
Externally published	Yes

Keywords

AMS Subject Classifications: 65H10, 65M20, CR: 5.15, 5.17

ASJC Scopus subject areas

Software
Theoretical Computer Science
Numerical Analysis
Computer Science Applications
Computational Theory and Mathematics
Computational Mathematics

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10.1007/BF02259842

Cite this

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title = "Asynchronous algorithms for poisson's equation with nonlinear boundary conditions",

abstract = "Poisson's equation with nonlinear boundary conditions is discretized with the method of lines to obtain a system of second order differential equations with multi-point boundary conditions. This differential system is converted, using invariant imbedding for each one-dimensional problem, into a fixed point problem and then the asynchronous algorithms are applied.",

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author = "Anwar, \{M. N.\} and \{El Tarazi\}, \{M. N.\}",

year = "1985",

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AU - Anwar, M. N.

AU - El Tarazi, M. N.

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N2 - Poisson's equation with nonlinear boundary conditions is discretized with the method of lines to obtain a system of second order differential equations with multi-point boundary conditions. This differential system is converted, using invariant imbedding for each one-dimensional problem, into a fixed point problem and then the asynchronous algorithms are applied.

AB - Poisson's equation with nonlinear boundary conditions is discretized with the method of lines to obtain a system of second order differential equations with multi-point boundary conditions. This differential system is converted, using invariant imbedding for each one-dimensional problem, into a fixed point problem and then the asynchronous algorithms are applied.

KW - AMS Subject Classifications: 65H10, 65M20, CR: 5.15, 5.17

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UR - https://www.scopus.com/pages/publications/0021820625#tab=citedBy

U2 - 10.1007/BF02259842

DO - 10.1007/BF02259842

M3 - Article

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EP - 168

JO - Computing

JF - Computing

IS - 2

ER -

Asynchronous algorithms for poisson's equation with nonlinear boundary conditions

Abstract

Keywords

ASJC Scopus subject areas

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