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ERIC Number: EJ894154
Record Type: Journal
Publication Date: 2010
Pages: 8
Abstractor: As Provided
Reference Count: 22
ISBN: N/A
ISSN: ISSN-0020-739X
Boundary Value Technique for Initial Value Problems Based on Adams-Type Second Derivative Methods
Jator, S. N.; Sahi, R. K.
International Journal of Mathematical Education in Science and Technology, v41 n6 p819-826 2010
In this article, we propose a family of second derivative Adams-type methods (SDAMs) of order up to 2k + 2 ("k" is the step number) for initial value problems. The methods are constructed through a continuous approximation of the SDAM which is obtained by multistep collocation. The continuous approximation is used to obtain initial value methods, which are simultaneously applied to generate all approximations on the entire interval. The order and the linear stability properties of the methods are discussed. Numerical experiments are performed and the results are compared with those of existing methods in the literature. (Contains 3 tables and 1 figure.)
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A