Numerical investigation of the parabolic mixed derivative diffusion equation via Alternating Direction Implicit methods

M. Sathinarain; C. Harley; E. Momoniat

doi:10.1016/j.camwa.2013.08.025

Numerical investigation of the parabolic mixed derivative diffusion equation via Alternating Direction Implicit methods

M. Sathinarain, C. Harley, E. Momoniat

University of the Witwatersrand

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

1 Citation (Scopus)

Abstract

The two-dimensional analogue of a two-parameter mixed derivative equation is considered via two numerical methods: the ADI and compact ADI method. These methods are compared and the influence of the kinematic viscosity and viscoelasticity is discussed in relation to the solutions obtained. The two schemes are proven to be conditionally stable and the methods compared via an error analysis.

Original language	English
Pages (from-to)	1452-1465
Number of pages	14
Journal	Computers and Mathematics with Applications
Volume	66
Issue number	8
DOIs	https://doi.org/10.1016/j.camwa.2013.08.025
Publication status	Published - Nov 2013
Externally published	Yes

Keywords

Alternating direction implicit methods
Higher-grade fluid
Two-dimensional flow
von Neumann analysis

ASJC Scopus subject areas

Modeling and Simulation
Computational Theory and Mathematics
Computational Mathematics

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10.1016/j.camwa.2013.08.025

Cite this

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title = "Numerical investigation of the parabolic mixed derivative diffusion equation via Alternating Direction Implicit methods",

abstract = "The two-dimensional analogue of a two-parameter mixed derivative equation is considered via two numerical methods: the ADI and compact ADI method. These methods are compared and the influence of the kinematic viscosity and viscoelasticity is discussed in relation to the solutions obtained. The two schemes are proven to be conditionally stable and the methods compared via an error analysis.",

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AU - Harley, C.

AU - Momoniat, E.

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N2 - The two-dimensional analogue of a two-parameter mixed derivative equation is considered via two numerical methods: the ADI and compact ADI method. These methods are compared and the influence of the kinematic viscosity and viscoelasticity is discussed in relation to the solutions obtained. The two schemes are proven to be conditionally stable and the methods compared via an error analysis.

AB - The two-dimensional analogue of a two-parameter mixed derivative equation is considered via two numerical methods: the ADI and compact ADI method. These methods are compared and the influence of the kinematic viscosity and viscoelasticity is discussed in relation to the solutions obtained. The two schemes are proven to be conditionally stable and the methods compared via an error analysis.

KW - Alternating direction implicit methods

KW - Higher-grade fluid

KW - Two-dimensional flow

KW - von Neumann analysis

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IS - 8

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Numerical investigation of the parabolic mixed derivative diffusion equation via Alternating Direction Implicit methods

Abstract

Keywords

ASJC Scopus subject areas

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