Parallel block method for solving large systems of ODEs using MPI

Zanariah Abdul Majid, Siamak Mehrkanoon, Khairil Iskandar Othman

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

Abstract

The parallel 2-point block method is developed for solving large system of first order ordinary differential equations (ODEs) using variable step size. The proposed method computes the numerical solutions at two points simultaneously. The Gauss Seidel style is used for the implementation of the proposed method. The parallelism across the system is considered for the parallelization of the method with Message Passing Interference (MPI) communication environment. Numerical examples are given to illustrate the efficiency of the parallel implementation of the proposed method with respect to the sequential one.

Original languageEnglish
Title of host publicationLatest Trends on Applied Mathematics, Simulation, Modelling - 4th International Conference on Applied Mathematics, Simulation, Modelling, ASM'10
Pages34-38
Number of pages5
Publication statusPublished - 2010
Event4th International Conference on Applied Mathematics, Simulation, Modelling, ASM'10 - Corfu Island, Greece
Duration: 22 Jul 201025 Jul 2010

Publication series

NameInternational Conference on Applied Mathematics, Simulation, Modelling - Proceedings
ISSN (Print)1792-4332

Conference

Conference4th International Conference on Applied Mathematics, Simulation, Modelling, ASM'10
Country/TerritoryGreece
CityCorfu Island
Period22/07/1025/07/10

Keywords

  • 2-point method
  • Block method
  • Ordinary differential equations
  • Parallel method

Fingerprint

Dive into the research topics of 'Parallel block method for solving large systems of ODEs using MPI'. Together they form a unique fingerprint.

Cite this