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ERIC Number: EJ882140
Record Type: Journal
Publication Date: 2010-Jan
Pages: 9
Abstractor: As Provided
Reference Count: 20
ISSN: ISSN-0020-739X
On the Hybrid Method with Three Off-Step Points for Initial Value Problems
Jator, S. N.
International Journal of Mathematical Education in Science and Technology, v41 n1 p110-118 Jan 2010
A continuous representation of a hybrid method with three "off-step" points is developed via interpolation and collocation procedures, and used to obtain initial value methods (IVMs) for solving initial value problems. The IVMs are assembled into a single block matrix equation which is convergent and A-stable. We note that accuracy is improved by applying the IVMs as simultaneous numerical integrators on sub-intervals which do not overlap. The method is compared with the existing ones in the literature and its superiority over the fourth-order Runge-Kutta method is established numerically. (Contains 4 tables.)
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Publication Type: Journal Articles; Reports - Evaluative
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A