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 |
* zurni@uum.edu.my ** 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 |
1 - 13 |
Received Date |
2008-08-14 |
Revised Date |
|
Accepted Date |
2009-05-25 |
Full Text |
Download |
Keyword |
Ordinary differential equations, first order systems, parallel, r-point block method, variable step size and order |
Volume |
Vol.37 No.1 (JANUARY 2010) |
DOI |
|
SDGs |
|
View:476 Download:148 |