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Penyelesaian Masalah Nilai Awal Persamaan Pembezaan Biasa Menggunakan Kaedah Pemetakan Blok Tersirat Multilangkah

Khairil Iskandar Othman, and Zarina Bibi Ibrahim, and Mohamed Suleiman, and Zanariah Majid, (2007) Penyelesaian Masalah Nilai Awal Persamaan Pembezaan Biasa Menggunakan Kaedah Pemetakan Blok Tersirat Multilangkah. Malaysian Journal of Science, 26 (SKSM14 Special Issue). pp. 17-22. ISSN 13943065

Full text not available from this repository.

Affiliations

MARA University of Technology. Faculty of Information Technology and Quantitative Science. Dept. of Mathematics
Universiti Putra Malaysia. Faculty of Science. Dept. of Mathematics
Universiti Putra Malaysia. Institute of Mathematical Research (INSPEM)

Abstract

Sistem persamaan pembezaan biasa (PPB) kaku biasanya diselesaikan dengan kaedah tersirat yang melibatkan lelaran Newton yang memerlukan banyak masa pengiraan. Dengan yang demikian, dalam kertas ini, kami membentuk suatu kod penyelesaian yang lebih efektif berdasarkan kaedah pemetakan automatik blok Adams tersirat dan Formulasi Beza Ke Belakang (FBB). Keputusan berangka menunjukkan keberkesanan dalam pengurangan masa pengiraan dan kejituan penyelesaian yang lebih baik apabila kaedah pemetakan blok di gunakan dalam menyelesaikan masalah nilai awal PPB.

Item Type:Journal
Keywords:blok, pemetakan, tersirat, mapping, stiff systems by precise partitioning
Subjects:Q Science, Computer Science
ID Code:2648

1. Bjork, A. (1983). A block QR algorithm for partitioning stiff differential systems. BIT 23: 329-345.

2. Enright, W.H. and Kamel, M.S. (1979). Automatic Partitioning of Stiff Systems and Exploiting the Resulting Structure. ACM Trans. Math. Softw. 5 (4): 374-385.

3. Watkins, D.S. and Hansonsmith, R.W. (1983). The numerical solution of separably stiff systems by precise partitioning. ACM Transactions on Mathematical Software 9 (3): 293-301.

4. Palunski, O.A. and Wait, J.V. (1978). Numerical techniques for partitioned dynamic system simulation. Proceedings of the Summer Computer Simulation Conference, Los Angeles, California.

5. Soderlind, G. (1980). DASP3-A Program for the Numerical Integration of Partitioned Stiff ODEs and Differential-Algebraic Systems. Rpt TRITA-NA-8008, Report TRITNA-NA7910, Royal Institute of Technology, Stockholm.

6. Carver, M.B. and MacEwen, S.R. (1982). Automatic partitioning in ordinary differential equation integration. Progress in Modelling and Simulation. Academic Press. London.

7. Suleiman, M.B. and Baok, S. (1992). Using nonconvergence of iteration to partition ODEs. Applied Math and Computation 49: 111-139.

8. Majid, Z. (2004), Parallel Block Methods For Solving Ordinary Differential Equations, PhD Thesis, Universiti Putra Malaysia.

9. Zarina Bibi I., Khairil Iskandar O.,Suleiman M.; (2005). Derivation of Variable Step Size 2-Point Fully Implicit Backward Differentiation Formulae. Proceedings of The 2nd International Conference on Research and Education in Mathematics (ICREM2), Malaysia ,UPM: 235-242.

10. Hall, G, and Suleiman, M.B. (1985). A single code for the solution of stiff and nonstiff ODEs. SIAM J. Stat. Computing 6(3): 684-69.

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