Parallel implementation of block explicit hybrid method for solving second order ordinary differential equations

Fudziah Ismail, Samat Faieza, Arifin Norihan Md, Majid Zanariah Abd

Research output: Contribution to journalArticle

Abstract

In this paper we derived a two-point block explicit hybrid method and discussed its parallel implementation. The first point of the block method is calculated using the fifth-order explicit hybrid method of Franco's. The stability analysis of the block method is also given. For parallel implementation, two processors are used independently to compute each point in the block. The performance of the parallel block method is evaluated in terms of speedup using two large-size problems.

Original languageEnglish
Pages (from-to)90-94
Number of pages5
JournalAdvanced Science Letters
Volume15
Issue number1
DOIs
Publication statusPublished - Aug 2012
Externally publishedYes

Fingerprint

Block Method
Second-order Ordinary Differential Equations
Explicit Methods
Parallel Implementation
Hybrid Method
Ordinary differential equations
Parallel Methods
Stability Analysis
Speedup
stability analysis
method
performance

Keywords

  • Block
  • Parallel
  • Sequential

ASJC Scopus subject areas

  • Education
  • Health(social science)
  • Mathematics(all)
  • Energy(all)
  • Computer Science(all)
  • Environmental Science(all)
  • Engineering(all)

Cite this

Parallel implementation of block explicit hybrid method for solving second order ordinary differential equations. / Ismail, Fudziah; Faieza, Samat; Norihan Md, Arifin; Zanariah Abd, Majid.

In: Advanced Science Letters, Vol. 15, No. 1, 08.2012, p. 90-94.

Research output: Contribution to journalArticle

Ismail, Fudziah ; Faieza, Samat ; Norihan Md, Arifin ; Zanariah Abd, Majid. / Parallel implementation of block explicit hybrid method for solving second order ordinary differential equations. In: Advanced Science Letters. 2012 ; Vol. 15, No. 1. pp. 90-94.
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