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Reka Bentuk Algoritma Blok Baru Stensil 9-titik dalam Masalah Nilai Sempadan

Norhashidah Hj. Mohd. Ali, (2002) Reka Bentuk Algoritma Blok Baru Stensil 9-titik dalam Masalah Nilai Sempadan. Matematika, 18 (1). pp. 45-62. ISSN 01278274

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Official URL: http://www.fs.utm.my/matematika/images/stories/matematika/200218104.pdf

Affiliations

Universiti Sains Malaysia, School of Mathematical Sciences

Abstract

In this paper, new 4 and 9 point group iterative methods derived from the rotated nine-point stencil [4] similar to the approach of Yousif [7] is presented . Numerical experiments carried out confirmed that these new group methods converge faster than its pointwise counterpart which coincides with its complexity analysis.

Item Type:Journal
Keywords:Group Iterative Method, elliptic equation, rotated 9-point stencil
Subjects:Q Science, Computer Science
ID Code:5685

[1] Abdullah, A.R.,“The Four Point Explicit Decoupled Group (EDG) Method : A Fast Poisson Solver”, International Journal of Comp. Math.,1991, 38, pg 61-70.

[2] Abdullah, A.R.,& Ali, N.H.M.,“The Comparative Study of Parallel Strategies for the Solution of Elliptic PDE’s”,Parallel Algorithms and Applications,1996, 10, pg 93-103.

[3] Adams, L.M., Leveque, R.J. and Young, D.M.,“Analysis of the SOR Iteration for the 9-Point Laplacian”, SIAM Journal of Numerical Analysis,1988, 25(5), pg 1156-1180.

[4] Ali, N.H.M. & Abdullah, A.R.“New Parallel Nine-point Poisson Solver”, Journal of Information Technology,1998, 10, Vol 2, pg 1-9.

[5] Ali, N.H.M. & Abdullah, A.R.“Parallel Four Point Explicit Decoupled Group (EDG) Method For Elliptic PDE’s”,Proceedings of the Seventh IASTED/ISMM International Conference on Parallel and Distributed Computing and Systems, Washington D.C.,1995, pg 302-304.

[6] Dahlquist,G. & Bjorck,A.,“Numerical Methods”,1974, Englewood Cliffs, N.Jersey,Prentice-Hall.

[7] Yousif, W.S.,“New Block Iterative Methods for the Numerical Solution of Boundary Value Problems”,1984,PhD Thesis, Loughborough University of Technology.

[8] Yousif, W.S. & Evans, D.J.,“Explicit DeCoupled Group Iterative Methods And Their Parallel Implementations”,Parallel Algorithms and Applications,1995, 7, pg 53-71.

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