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Block Method for Generalised Multistep Adams and Backward Differentiation Formulae In Solving First Order ODEs

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Author(s): Zarina Bibi Ibrahim | Mohamed Suleiman | Khairil Iskandar | Zanariah Majid

Journal: Matematika
ISSN 0127-8274

Volume: 21;
Issue: 1;
Start page: 25;
Date: 2005;
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Keywords: Block | backward differentiation formulae | steps.

ABSTRACT
The performance of the Block Generalised Multistep Adams and Backward Differentiation Formulae (BGMBDF) as compared with Generalised Multistep Adams and Backward Differentiation Formulae (GMBDF) is presented. These methods are used to solve initial value problems (IVPs) for stiff and nonstiff systems of ordinary differential equations (ODEs). The results obtained show that the BGMBDF reduces the total number of steps in computation.
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