Parallel block codes for solving large systems of ordinary differential equations
by Zanariah Abdul Majid, Mohamed B. Suleiman
International Journal of Simulation and Process Modelling (IJSPM), Vol. 2, No. 1/2, 2006

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.

Online publication date: Sun, 12-Feb-2006

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