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

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Paper Type	Contributed Paper
Title	1-Point Implicit Code of Adams Moulton Type to Solve First Order Ordinary Differential Equations
Author	Zanariah A. Majid* [a] and Mohamed B. Suleiman [b]
Email	zanamajid@hotmail.com
Abstract: In this paper, a 1 point implicit code in the form of Adams Moulton Method is developed for solving a system of ordinary differential equations (ODEs) with variable step size. The existence multistep method involves the computations of the divided differences and integration coefficients in the code when using the variable step size or variable step size and order. The idea of the developed method is to store all the coefficients involved in the code. Therefore, this strategy can avoid the lengthy computation of the coefficients during the implementation of the code as well as to improve the execution time. Numerical results are given to compare the efficiency of the developed method to the 1PVSO method in Omar [1].
Start & End Page	153 - 159
Received Date	2005-07-27
Revised Date
Accepted Date	2006-04-18
Full Text	Download
Keyword	1-point implicit method, Adams Moulton Method, ordinary differential equations
Volume	Vol.33 No.2 (MAY 2006)
DOI
Citation	[a] Z.A.M. and [b] M.B.S., 1-Point Implicit Code of Adams Moulton Type to Solve First Order Ordinary Differential Equations, Chiang Mai Journal of Science, 2006; 33(2): 153-159.
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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

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: 674 Download:248

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

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

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