Block method for numerical solution of differential-algebraic equations with hessenberg index-3

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dc.contributor.authorOA Akinfenwa, SA Okunuga
dc.date.accessioned2022-09-10T18:54:50Z
dc.date.available2022-09-10T18:54:50Z
dc.date.issued2014
dc.description.abstractA Block Second Derivative Formula (BSDF) of order seven for the numerical solution of Hessenberg Differential Algebraic Equations (DAEs) of index 3 is presented. This is achieved by constructing a Continuous Second Derivative Formula (CSDF) used to obtain the main and additional methods which are combined to form a single block of methods that simultaneously provide the approximate solutions for the Hessenberg DAEs of index 3. The error constant and stability properties of the BSDF are discussed. The performance of the method is demonstrated on some numerical examples to show the accuracy and efficiency of the method.en_US
dc.identifier.urihttps://ir.unilag.edu.ng/handle/123456789/11416
dc.language.isoenen_US
dc.subjectdifferential-algebraic equations, block second derivative formula, stability analysisen_US
dc.titleBlock method for numerical solution of differential-algebraic equations with hessenberg index-3en_US
dc.typeArticleen_US
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