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Solving Higher Order Ordinary Differential Equations Using Parallel 2-Point Explicit Block Method

Zurni Omar, and Mohamed Sulaiman, (2005) Solving Higher Order Ordinary Differential Equations Using Parallel 2-Point Explicit Block Method. Matematika, 21 (1). pp. 15-23. ISSN 01278274

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Official URL: http://www.fs.utm.my/matematika/images/stories/matematika/200521101.pdf

Affiliations

Universiti Utara Malaysia, Faculty of Quantitative Sciences
National Accreditation Board Malaysia

Abstract

The derivation of a new parallel 2-point explicit block (2PEB) method for solving dth order ordinary differential equations (ODEs) directly is made. Computational advantages are presented comparing the results obtained by the new method with that of conventional 1-point method. Numerical results suggest that the parallel 2PEB method is recommended for solving second order ODEs directly using finer step sizes.

Item Type:Journal
Keywords:Parallel, block method, ODEs
Subjects:Q Science, Computer Science
ID Code:8481

[1] L.G. Birta & O. Abou-Rabia, Parallel Block Predictor-Corrector Methods for ODEs, IEEE Transactions on Computers, Vol C-36, No.3(1987), pp. 299-311.

[2] M.T. Chu & H. Hamilton, Parallel Solution of ODEs by Multi-Block Methods, Siam J. Sci. Stat. Comput., Vol 8, No. 1(1987), pp. 342-353.

[3] S.O. Fatunla, Block Methods for Second Order ODEs, Intern. J. Computer Math 40(1990), 55-63.

[4] C.W. Gear, The Numerical Integration of Ordinary Differential Equations, Math. Comp. 21(1966), 146-156.

[5] C.W. Gear, Numerical Initial Value Problems in Ordinary Differential Equations, Prentice Hall Inc., New Jersey , 1971.

[6] C.W. Gear, The Stability of Numerical Methods for Second-Order Ordinary Differential Equations, SIAM J. Numer. Anal. 15(1)(1978), 118-197.

[7] G. Hall and M.B. Suleiman, Stability of Adams-Type Formulae for Second-Order Ordinary Differential Equations, IMA J. Numer. Anal. 1(1981), 427-428.

[8] F.T. Krogh, A Variable Step, Variable Order Multistep Method for the Numerical Solution of Ordinary Differential Equation, Proceedings of the IFIP Congress in Information Processing 68(1968), 194-199.

[9] Z.B. Omar and M.B. Suleiman, Solving Second Order ODEs Directly Using Parallel 2-Point Explicit Block Method, Prosiding Kolokium Kebangsaan Pengintegrasian Teknologi Dalam Sains Matematik, Universiti Sains Malaysia, 1999, pp 390-395.

[10] R.D. Russel and L.F. Shampine, A Collocation Method for Boundary Value Problems, Num. Math 19(1972), 1-28.

[11] L.F. Shampine and H.A. Watts, Block implicit one-step methods, Math. Comp., Vol. 23(1969), pp 731-740.

[12] M.B. Suleiman, Generalised Muiltistep Adams and Backward Differentiation Methods for the Solution of Stiff and Non-Stiff Ordinary Differential Equations, PhD Thesis, University of Manchester, 1979.

[13] M.B. Suleiman, Solving Higher Order ODEs Directly by the Direct Integration Method, Applied Mathematics and Computation 33(3)(1989), 197-219.

[14] H.W. Tam, Parallel Methods for the Numerical Solution Of Ordinary Differential Equations, Report No. UIUCDCS R-89-1516. Department of Computer Science, University of Illinois at Urbana-Champaign, 1989.

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