UPM Institutional Repository

Implementation of MPI environment for solving large systems of ODEs using block method.


Citation

Abdul Majid, Zanariah and Mehrkanoon, S. and Othman, K. I. and Suleiman, Mohamed (2010) Implementation of MPI environment for solving large systems of ODEs using block method. WSEAS Transactions on Mathematics, 9 (10). pp. 801-810. ISSN 1109-2769

Abstract

Parallel 2-point and 3-point block method will simultaneously compute the numerical solutions at two and three points respectively are suitable for solving large system of first order ordinary differential equations (ODEs) using variable step size. The Gauss Seidel iteration will be implemented for the block methods. The parallelism across the system is considered for the parallelization of the proposed methods using the Message Passing Interface (MPI) communication environment which runs on High Performance Computing (HPC). Numerical examples are given to illustrate the efficiency of the parallel implementation of the proposed method using 2, 4 and 6 processors with respect to the sequential one.


Download File

[img]
Preview
PDF (Abstract)
Implementation of MPI environment for solving large systems of ODEs using block method.pdf

Download (84kB) | Preview

Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Publisher: World Scientific and Engineering Academy and Society (WSEAS) Press
Keywords: Parallel; Block method.
Depositing User: Najwani Amir Sariffudin
Date Deposited: 08 Nov 2013 07:18
Last Modified: 29 Oct 2015 08:12
URI: http://psasir.upm.edu.my/id/eprint/15122
Statistic Details: View Download Statistic

Actions (login required)

View Item View Item