Parallel block codes for solving large systems of ordinary differential equations. (13th February 2006)

• Record Type: Journal Article
• Authors: Majid, Zanariah Abdul; Suleiman, Mohamed B.
• Is Part Of: International journal of simulation and process modelling. Volume 2:Number 1/2(2006)
• Page Start: 98
• Page End: 112
• Publication Date: 2006-02-13
• Subjects: numerical methods -- parallel method -- block method -- parallel block codes -- large systems -- ordinary differential equations -- ODE -- parallel computing; Management -- Computer simulation -- Periodicals; Mathematical models -- Periodicals; Operations research -- Periodicals; Simulation methods -- Periodicals; 003.05
• Languages: English
• ISSNs: 1740-2123

Abstract

The two-point fully implicit block methods are developed for solving large systems of ordinary differential equations (ODEs) using variable step size on a parallel shared memory computer. The method calculates the numerical solution at two equally spaced points simultaneously within a block. The sequential and parallel performances of these methods are compared with the performances of the two-point block method using variable step size and order developed earlier by Omar (1999). For large problems, the parallel implementation produced a good speedup with respect to the sequential timing and hence better efficiency for the methods developed. The stability of the methods is also investigated.