An accurate LOD scheme for two-dimensional parabolic problems

Samir Karaa

doi:10.1016/j.amc.2004.12.031

An accurate LOD scheme for two-dimensional parabolic problems

Samir Karaa^*

^*Corresponding author for this work

Mathematics

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

18 Citations (Scopus)

Abstract

We propose a high order locally one-dimensional scheme for solving parabolic problems. The method is fourth-order in space and second-order in time, and provides a computationally efficient implicit scheme. It is shown through a discrete Fourier analysis that the method is unconditionally stable. Numerical experiments are conducted to test its high accuracy and to compare it with other schemes.

Original language	English
Pages (from-to)	886-894
Number of pages	9
Journal	Applied Mathematics and Computation
Volume	170
Issue number	2
DOIs	https://doi.org/10.1016/j.amc.2004.12.031
Publication status	Published - Nov 15 2005

Keywords

High order compact scheme
LOD scheme
Parabolic equations
Stability

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/j.amc.2004.12.031

Cite this

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title = "An accurate LOD scheme for two-dimensional parabolic problems",

abstract = "We propose a high order locally one-dimensional scheme for solving parabolic problems. The method is fourth-order in space and second-order in time, and provides a computationally efficient implicit scheme. It is shown through a discrete Fourier analysis that the method is unconditionally stable. Numerical experiments are conducted to test its high accuracy and to compare it with other schemes.",

keywords = "High order compact scheme, LOD scheme, Parabolic equations, Stability",

author = "Samir Karaa",

note = "Funding Information: This research was supported by Sultan Qaboos University under Grant IG/SCI/DOMAS/05/10.",

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AU - Karaa, Samir

N1 - Funding Information: This research was supported by Sultan Qaboos University under Grant IG/SCI/DOMAS/05/10.

PY - 2005/11/15

Y1 - 2005/11/15

N2 - We propose a high order locally one-dimensional scheme for solving parabolic problems. The method is fourth-order in space and second-order in time, and provides a computationally efficient implicit scheme. It is shown through a discrete Fourier analysis that the method is unconditionally stable. Numerical experiments are conducted to test its high accuracy and to compare it with other schemes.

AB - We propose a high order locally one-dimensional scheme for solving parabolic problems. The method is fourth-order in space and second-order in time, and provides a computationally efficient implicit scheme. It is shown through a discrete Fourier analysis that the method is unconditionally stable. Numerical experiments are conducted to test its high accuracy and to compare it with other schemes.

KW - High order compact scheme

KW - LOD scheme

KW - Parabolic equations

KW - Stability

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EP - 894

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 2

ER -

An accurate LOD scheme for two-dimensional parabolic problems

Abstract

Keywords

ASJC Scopus subject areas

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