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

Authors

  • Norhashidah Mohd Ali

DOI:

https://doi.org/10.11113/matematika.v18.n.495

Abstract

Dalam kertas ini dikemukakan kaedah lelaran kumpulan 4 dan 9 titik yang baru diterbitkan daripada stensil 9-titik putaran [4] dengan cara pendekatan yang sama seperti Yousef [7]. Ujikaji berangka yang dijalankan menunjukkan kaedah-kaedah kumpulan baru ini sememangnya lebih cepat menumpu berbanding dengan skema lelaran titiknya, selaras dengan analisis kompleksitinya. Katakunci: Kaedah lelaran kumpulan; persamaan eliptik; stensil 9-titik putaran . In this paper, new 4 and 9 point group iterative methods derived from thr rotated nine-point stencil [4] similar to the approach of Yousef [7] is presented. Numerical experiments carried out confirmed that these new group methods converge faster than its poinywise counterpart which coincides with its complexity analysis Keywords: Group Iterative Method; elliptic equation; rotated 9-point stencil.

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Published

01-06-2002

Issue

Volume 18 (June 2002)

Section

Analysis and Algebra

License

Copyright of articles that appear in MATEMATIKA: MJIAM belongs exclusively to Penerbit UTM Press, Universiti Teknologi Malaysia. This copyright covers the rights to reproduce the article, including reprints, electronic reproductions or any other reproductions of similar nature.

How to Cite

Reka Bentuk Algoritma Blok Baru Stensil 9-titik dalam Masalah Sempadan. (2002). MATEMATIKA, 18, 45–62. https://doi.org/10.11113/matematika.v18.n.495