Finite-difference approximations for a class of nonlocal parabolic boundary value problems

Yanping Lin; R. J. Tait

doi:10.1016/0377-0427(93)90061-F

Finite-difference approximations for a class of nonlocal parabolic boundary value problems

Yanping Lin, R. J. Tait

Research output: Journal article publication › Journal article › Academic research › peer-review

10 Citations (Scopus)

Abstract

We consider finite-difference approximations for a class of nonlocal parabolic boundary value problems which arise in thermoelasticity and poroelasticity. Approximations for both fixed and natural boundary conditions are considered together with an analysis of their stability. An example arising in testing poroelastic annular cylindrical samples is considered under various boundary conditions and for realistic values of the physical parameters.

Original language	English
Pages (from-to)	335-350
Number of pages	16
Journal	Journal of Computational and Applied Mathematics
Volume	47
Issue number	3
DOIs	https://doi.org/10.1016/0377-0427(93)90061-F
Publication status	Published - 30 Sept 1993
Externally published	Yes

Keywords

Finite difference
nonlocal
parabolic
stability

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

More information

10.1016/0377-0427(93)90061-F

Cite this

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abstract = "We consider finite-difference approximations for a class of nonlocal parabolic boundary value problems which arise in thermoelasticity and poroelasticity. Approximations for both fixed and natural boundary conditions are considered together with an analysis of their stability. An example arising in testing poroelastic annular cylindrical samples is considered under various boundary conditions and for realistic values of the physical parameters.",

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AU - Lin, Yanping

AU - Tait, R. J.

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N2 - We consider finite-difference approximations for a class of nonlocal parabolic boundary value problems which arise in thermoelasticity and poroelasticity. Approximations for both fixed and natural boundary conditions are considered together with an analysis of their stability. An example arising in testing poroelastic annular cylindrical samples is considered under various boundary conditions and for realistic values of the physical parameters.

AB - We consider finite-difference approximations for a class of nonlocal parabolic boundary value problems which arise in thermoelasticity and poroelasticity. Approximations for both fixed and natural boundary conditions are considered together with an analysis of their stability. An example arising in testing poroelastic annular cylindrical samples is considered under various boundary conditions and for realistic values of the physical parameters.

KW - Finite difference

KW - nonlocal

KW - parabolic

KW - stability

UR - http://www.scopus.com/inward/record.url?scp=0027664788&partnerID=8YFLogxK

U2 - 10.1016/0377-0427(93)90061-F

DO - 10.1016/0377-0427(93)90061-F

M3 - Journal article

SN - 0377-0427

VL - 47

SP - 335

EP - 350

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 3

ER -

Finite-difference approximations for a class of nonlocal parabolic boundary value problems

Abstract

Keywords

ASJC Scopus subject areas

More information

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