Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 30840
Development Partitioning Intervalwise Block Method for Solving Ordinary Differential Equations

Authors: K.H.Khairul Anuar, K.I.Othman, F.Ishak, Z.B.Ibrahim, Z.Majid


Solving Ordinary Differential Equations (ODEs) by using Partitioning Block Intervalwise (PBI) technique is our aim in this paper. The PBI technique is based on Block Adams Method and Backward Differentiation Formula (BDF). Block Adams Method only use the simple iteration for solving while BDF requires Newtonlike iteration involving Jacobian matrix of ODEs which consumes a considerable amount of computational effort. Therefore, PBI is developed in order to reduce the cost of iteration within acceptable maximum error

Keywords: Adam Block Method, BDF, Ordinary Differential Equations, Partitioning Block Intervalwise

Digital Object Identifier (DOI):

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1313


[1] D.S. Watkins, R.W. Hansonsmith (1983). The Numerical Solution of Separably Stiff System by Precise Partitioning, ACM Trans Math Software 9. 293-301.
[2] G. Hall, M.B. Suleiman (1985). A single Code for the Solution of Stiff and Nonstiff ODEs, SIAM J. Stat. Comput. 6(3) 684-697.
[3] K.I. Othman, Z.B. Ibrahim, M. Suleiman, Z. Majid(2007). Automatic Intervalwise Block Partitioning using Adams type Method and Backward Differentiation Formula for Solving ODEs, Applied Maths and Comput 188. 1642-1646.
[4] M.B. Suleiman, S. Baok (1992). Using Nonconvergence of Iteration to Partitions ODEs, Appl. Math. Comput 49. 111-139.
[5] W.H. Enright, M.S. Kamel (1979), Automatic Partitioning of Stiff System and Exploiting the Resulting Structure, ACM Trans. Math. Sofware 5 (4) 374-385.
[6] Z. Majid (2003). Parallel Block Methods For Solving Ordinary Differential Equations, PhD thesis, University Putra Malaysia.