Title: Parallel two-Point Explicit Block method for solving high-order Ordinary Differential Equations

Authors: Zurni Omar, Mohamed B. Suleiman

Addresses: Faculty of Quantitative Sciences, Universiti Utara Malaysia, 06010 UUM, Kedah, Malaysia. ' National Accreditation Board, Floor 14B, Menara PKNS-PJ, No. 17, Jalan Yong Shook Lin, 40650 Petaling Jaya, Malaysia

Abstract: The derivation of a new parallel two-Point Explicit Block (2PEB) method for solving dth-order Ordinary Differential Equations (ODEs) directly is presented. The computational advantages of using this technique over the conventional one-point method are discussed. Numerical results suggest that the parallel 2PEB method is superior when used for solving second-order ODEs directly with small step size.

Keywords: parallel block method; high-order ODEs; ordinary differential equations; interpolating polynomial.

DOI: 10.1504/IJSPM.2006.012650

International Journal of Simulation and Process Modelling, 2006 Vol.2 No.3/4, pp.227 - 231

Published online: 05 Mar 2007 *

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