IMPLICIT ADAMS TYPE LINEAR MULTISTEP METHOD FOR SOLVING STIFF DIFFERENTIAL EQUATIONS

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DC Field	Value	Language
dc.contributor.author	DAVID, Ineke Jacob	-
dc.date.accessioned	2023-12-05T12:52:51Z	-
dc.date.available	2023-12-05T12:52:51Z	-
dc.date.issued	2021-11	-
dc.identifier.uri	http://repository.futminna.edu.ng:8080/jspui/handle/123456789/19728	-
dc.description.abstract	ABSTRACT In this thesis 3-step implicit Adam’s type method for solving linear, non-linear ordinary differential equations and stiff differential system of ODEs were derived through the application of power series expansion collocating at 6 and 9 off-grid points respectively. The Schemes were shown to be consistent and zero-stable, thereby establishing their convergence. Numerical examples solved attested the efficiency and reliability of the Schemes. The block method with 6 off-grid points 1 3 , 2 3 , 4 3 , 5 3 , 7 3 ,𝑎𝑛𝑑 8 3 at collocation has order (11, 11, 11, 11, 11, 11, 11, 11) and the error constants are −11899 349192166400 , −179 5456127600 ,… 5609 1325839006800 . Numerical results obtained show that the methods are competitive in terms of accuracy.	en_US
dc.language.iso	en	en_US
dc.title	IMPLICIT ADAMS TYPE LINEAR MULTISTEP METHOD FOR SOLVING STIFF DIFFERENTIAL EQUATIONS	en_US
dc.type	Thesis	en_US
Appears in Collections:	Masters theses and dissertations

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