Chiang Mai Journal of Science, Faculty of Science, Chiang Mai University

1.0

2023CiteScore

33rd percentile

Journal Volumes

Submit your paper

Download Template

JOURNAL DETAIL

Solving First Order Systems of Ordinary Differential Equations Using Parallel R-Point Block Method of Variable Step Size and Order

Paper Type	Contributed Paper
Title	Solving First Order Systems of Ordinary Differential Equations Using Parallel R-Point Block Method of Variable Step Size and Order
Author	Zurni B. Omar, and Mohamed Suleiman
Email	m1suleiman@yahoo.com.my
Abstract: A new parallel method for solving first order systems of ordinary differential equations using variable step size and order (back value) is developed. The method, known as parallel R-point block method, calculates the numerical solution at more than one point simultaneously. The program of the method employed is run on a shared memory Sequent Symmetry S27 parallel computer. Computational advantages are presented comparing the results obtained by the new method with that of conventional 1-point method. The numerical results show that the new method reduces the total number of steps and execution time. It is also discovered that the accuracy of the parallel r-point block method and the 1-point method is comparable particularly when finer tolerances are used.
Start & End Page	9 - 23
Received Date	2008-10-06
Revised Date
Accepted Date	2008-11-14
Full Text	Download
Keyword	ordinary differential equations, first order systems, parallel, r-point block method, variable step size and order
Volume	Vol.36 No.1 (JANUARY 2009)
DOI
Citation	Omar Z.B., and Suleiman M., Solving First Order Systems of Ordinary Differential Equations Using Parallel R-Point Block Method of Variable Step Size and Order, Chiang Mai Journal of Science, 2009; 36(1): 9-23.
SDGs
View:623 Download:168

Some Results on Parallel Alternating Iterative Method for the Linear Complementarity Problem
page: 1761 - 1768
Author:Guangbin Wang*, Fuping Tan and Deyu Sun
Vol.44 No.4 (October 2017) View: 660 Download:151

Conversion of Parallel Regular Expressions to Non-deterministic Finite Automata using Partial Derivatives
page: 1409 - 1418
Author:Ajay Kumar and Anil Kumar Verma
Vol.41 No.5/2 (OCTOBER 2014) View: 656 Download:219

New results on parallel alternating iterative methods
page: 713 - 724
Author:Guangbin Wang* [1], Ting Wang[1], Fuping Tan[2], Shuqian Shen[3]
Vol.40 No.4 (OCTOBER 2013) View: 587 Download:200

2-Point Block Predictor-Corrector of Backward Differentiation Formulas For Solving Second Order Ordinary Differential Equations Directly
page: 502 - 510
Author:Zarina Bibi Ibrahim*[a], Khairil Iskandar Othman[b] and Mohamed Suleiman[c]
Vol.39 No.3 (JULY 2012) View: 598 Download:208

1-Point Implicit Code of Adams Moulton Type to Solve First Order Ordinary Differential Equations
page: 153 - 159
Author:Zanariah A. Majid* [a] and Mohamed B. Suleiman [b]
Vol.33 No.2 (MAY 2006) View: 652 Download:177

Designing Parallel Algorithms for Solving Higher Order Ordinary Differential Equations Directly on a Shared Memor y P arallel Computer Architecture
page: 9 - 21
Author:Zurni B. Omar* [a] and Mohamed B. Suleiman [b]
Vol.33 No.1 (JANUARY 2006) View: 639 Download:238

Solving First Order Systems of Ordinary Differential Equations Using Parallel R-Point Block Method of Variable Step Size and Order
page: 1 - 13
Author:Zurni B. Omar, and Mohamed Suleiman
Vol.37 No.1 (JANUARY 2010) View: 633 Download:213

Search in this journal

Document Search

Author Search

A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z

Chiang Mai Journal of Science

Journal Volumes

JOURNAL DETAIL

Solving First Order Systems of Ordinary Differential Equations Using Parallel R-Point Block Method of Variable Step Size and Order

RELATED ARTICLE

Search in this journal

Popular Search

Chiang Mai Journal of Science