Submit your paper 
Download Template JOURNAL DETAIL
Designing Parallel Algorithms for Solving Higher Order Ordinary Differential Equations Directly on a Shared Memor y P arallel Computer Architecture
Paper Type  |
Contributed Paper |
Title |
Designing Parallel Algorithms for Solving Higher Order Ordinary Differential Equations Directly on a Shared Memor y P arallel Computer Architecture |
Author |
Zurni B. Omar* [a] and Mohamed B. Suleiman [b] |
Email |
zurni@uum.edu.my |
|
Abstract: Parallelism is the long-term answer to powerful computation. However, the design of parallel algorithms highly depends on the parallel computer architectures. Therefore, understanding the computer architecture is very crucial before any algorithm can be developed. In this paper, new parallel algorithms namely 2-point and 3-point explicit block methods for solving higher order ordinary differential equations (ODEs) directly are introduced. These methods compute the numerical solution at two and three points simultaneously and therefore exploit the advantages of a shared memory parallel computer architecture. Computational advantages are presented comparing the results obtained by the new methods with the conventional 1-point explicit method.
|
|
Start & End Page |
9 - 21 |
Received Date |
2004-12-16 |
Revised Date |
|
Accepted Date |
2005-09-23 |
Full Text |
Download |
Keyword |
block method, directly, ordinary differential equations, Parallel |
Volume |
Vol.33 No.1 (JANUARY 2006) |
DOI |
|
Citation |
[a] Z..B..O.. and [b] M..B..S.., Designing Parallel Algorithms for Solving Higher Order Ordinary Differential Equations Directly on a Shared Memor y P arallel Computer Architecture, Chiang Mai Journal of Science, 2006; 33(1): 9-21. |
SDGs |
|
| View:674 Download:248 | |
RELATED ARTICLE
Convergence Properties of pth Order Diagonally Implicit Block Backward Differentiation Formulas
page: 601 - 606
Author:Iskandar Shah Mohd Zawawi and Zarina Bibi Ibrahim
Vol.45 No.1 (January 2018) View: 909 Download:194
page: 601 - 606
Author:Iskandar Shah Mohd Zawawi and Zarina Bibi Ibrahim
Vol.45 No.1 (January 2018) View: 909 Download:194
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: 693 Download:161
page: 1761 - 1768
Author:Guangbin Wang*, Fuping Tan and Deyu Sun
Vol.44 No.4 (October 2017) View: 693 Download:161
Direct Fifth Order Block Backward Differentiation Formulas for Solving Second Order Ordinary Differential Equations
page: 1171 - 1181
Author:Nooraini Zainuddin [b,c], Zarina Bibi Ibrahim*[a,b], Khairil Iskandar Othman [d] and Mohamed Suleiman [a,b]
Vol.43 No.5 (OCTOBER 2016) View: 673 Download:281
page: 1171 - 1181
Author:Nooraini Zainuddin [b,c], Zarina Bibi Ibrahim*[a,b], Khairil Iskandar Othman [d] and Mohamed Suleiman [a,b]
Vol.43 No.5 (OCTOBER 2016) View: 673 Download:281
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: 690 Download:233
page: 1409 - 1418
Author:Ajay Kumar and Anil Kumar Verma
Vol.41 No.5/2 (OCTOBER 2014) View: 690 Download:233
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: 618 Download:212
page: 713 - 724
Author:Guangbin Wang* [1], Ting Wang[1], Fuping Tan[2], Shuqian Shen[3]
Vol.40 No.4 (OCTOBER 2013) View: 618 Download:212
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: 622 Download:228
page: 502 - 510
Author:Zarina Bibi Ibrahim*[a], Khairil Iskandar Othman[b] and Mohamed Suleiman[c]
Vol.39 No.3 (JULY 2012) View: 622 Download:228
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: 684 Download:192
page: 153 - 159
Author:Zanariah A. Majid* [a] and Mohamed B. Suleiman [b]
Vol.33 No.2 (MAY 2006) View: 684 Download:192
Solving First Order Systems of Ordinary Differential
Equations Using Parallel R-Point Block Method of
Variable Step Size and Order
page: 9 - 23
Author:Zurni B. Omar, and Mohamed Suleiman
Vol.36 No.1 (JANUARY 2009) View: 659 Download:180
page: 9 - 23
Author:Zurni B. Omar, and Mohamed Suleiman
Vol.36 No.1 (JANUARY 2009) View: 659 Download:180
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: 658 Download:222
page: 1 - 13
Author:Zurni B. Omar, and Mohamed Suleiman
Vol.37 No.1 (JANUARY 2010) View: 658 Download:222
Copyrights © Since 2021 All Rights Reserved by Chiang Mai Journal of Science