An eighth order backward differentiation formula with continuous coefficients for stiff ordinary differential equations

dc.contributor.author	O Akinfenwa, S Jator, N Yoa
dc.date.accessioned	2022-09-10T18:50:45Z
dc.date.available	2022-09-10T18:50:45Z
dc.date.issued	2011-02-27
dc.description.abstract	A block backward differentiation formula of uniform order eight is proposed for solving first order stiff initial value problems (IVPs). The conventional 8-step Backward Differentiation Formula (BDF) and additional methods are obtained from the same continuous scheme and assembled into a block matrix equation which is applied to provide the solutions of IVPs on non-overlapping intervals. The stability analysis of the method indicates that the method is L0-stable. Numerical results obtained using the proposed new block form show that it is attractive for solutions of stiff problems and compares favourably with existing ones.	en_US
dc.identifier.uri	https://ir.unilag.edu.ng/handle/123456789/11404
dc.language.iso	en	en_US
dc.subject	Stiff IVPs, System of ODEs,Backward differentiation formulas, Block methods, Stability.	en_US
dc.title	An eighth order backward differentiation formula with continuous coefficients for stiff ordinary differential equations	en_US
dc.type	Article	en_US

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