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A one-way dissection of high-order compact scheme for the solution of 2D Poisson equation

Okoro, F. M. and Owoloko, E. A. (2010) A one-way dissection of high-order compact scheme for the solution of 2D Poisson equation. International Journal of the Physical Sciences , 5 (8). pp. 1277-1283. ISSN ISSN 1992 - 1950

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Abstract

We present a one-way dissection formulation of high-order compact scheme for the solution of 2D Poisson equation. One-way dissection is a type of matrix reordering, divide and conquers procedure. Efficient and concise compact schemes of 4th and 6th orders are derived using the truncation errors of the Taylors’ series expansion of the governing equation. The system is split into sub-domains and each sub-domain is treated separately. Two test problems are solved to show the fourth order performance of the scheme. The direct method is used to achieve a quick solution to the problems.

Item Type: Article
Subjects: Q Science > QD Chemistry
Q Science > QH Natural history > QH301 Biology
Divisions: Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User: Mr Adewole Adewumi
Date Deposited: 22 Jun 2011 23:29
Last Modified: 13 Dec 2011 21:13
URI: http://eprints.covenantuniversity.edu.ng/id/eprint/222

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