Zobrazeno 1 - 10 of 23 pro vyhledávání: '"R. I. Okuonghae"'
1
Akademický článek
A Class of Two-Derivative Two-Step Runge-Kutta Methods for Non-Stiff ODEs
Autor: I. B. Aiguobasimwin, R. I. Okuonghae
Publikováno v: Journal of Applied Mathematics, Vol 2019 (2019)
In this paper, a new class of two-derivative two-step Runge-Kutta (TDTSRK) methods for the numerical solution of non-stiff initial value problems (IVPs) in ordinary differential equation (ODEs) is considered. The TDTSRK methods are a special case of
Externí odkaz: https://doaj.org/article/a7b212801bf943e08a9c9cddb8b6e0ea
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2
Akademický článek
(α)-Stable Multi-Derivative GLM
Autor: R. I. Okuonghae, M. N. O. Ikhile
Publikováno v: Journal of Algorithms & Computational Technology, Vol 9 (2015)
This paper considers multi-derivative general linear methods and thus presents some second and third derivative general linear methods of orders 5, 7 and 10 in its output methods for computing the solution of stiff initial value problems in ordinary
Externí odkaz: https://doaj.org/article/85ffe052a72d4c6596b73d17468c80bf
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3
Akademický článek
A-Stable High Order Hybrid Linear Multistep Methods for Stiff Problems
Autor: R. I. Okuonghae
Publikováno v: Journal of Algorithms & Computational Technology, Vol 8 (2014)
This paper considers a new class of high order hybrid linear multistep methods for the numerical solution of stiff initial value problems (IVPs) in ordinary differential equations (ODEs). The numerical experiments shows the application of the methods
Externí odkaz: https://doaj.org/article/cb012c4c9c764ae2b3322c8deebbf004
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4
Akademický článek
Some General Linear Methods for the Numerical Solution of Non-Stiff IVPs in ODEs
Autor: R. I. Okuonghae, M. N. O. Ikhile, S. O. Ogunleye
Publikováno v: Journal of Algorithms & Computational Technology, Vol 7 (2013)
In this paper, we consider the construction of explicit General Linear Methods (GLM) for the numerical solution of non-stiff initial value problems (IVPs) in ordinary differential equations (ODEs). The discrete coefficients of the methods are obtaine
Externí odkaz: https://doaj.org/article/4556a0bc9d914955a9ff02b472efb5ff
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5
Akademický článek
A Continuous Formulation of A(α)-Stable Second Derivative Linear Multistep Methods for Stiff IVPs in ODEs
Autor: R. I. Okuonghae, M. N. O. Ikhile
Publikováno v: Journal of Algorithms & Computational Technology, Vol 6 (2012)
This paper considers family of A(α)-stable second derivative linear multistep methods of order p = k + 3 for step number k ≥ 15 for the solution of stiff IVPs in ODEs. The methods are demonstrated to be A(α)-stable for k ≥ 13. At k = 14, the me
Externí odkaz: https://doaj.org/article/efad11a23e354ace88343d4a197cef81
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8
On the Generalisation of $$\hbox {Pade}^{'}$$ Approximation Approach for the Construction of p-Stable Hybrid Linear Multistep Methods
Autor: I. C. Felix, R. I. Okuonghae
Publikováno v: International Journal of Applied and Computational Mathematics. 5
p-Stable hybrid linear multistep methods (HLMMs) have been a fascinating area of interest for the numerical solution of second order initial value problems in ordinary differential equations, because of their high order of accuracy. This paper presen
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::57ef8d78c738913d4578a5ad40066bbe
https://doi.org/10.1007/s40819-019-0685-0
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9
L(α)-stable variable-order implicit second derivative Runge-Kutta methods
Autor: R. I. Okuonghae, M. N. O. Ikhile
Publikováno v: Numerical Analysis and Applications. 7:314-327
This paper considers the extension of the popular Runge-Kutta methods (RKM) to second derivative Runge-Kutta methods (SDRKMs) for the direct solution of stiff initial value problems (IVPs) of ordinary differential equations (ODEs). The methods are ba
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::69de25b093dd073294f92c724d847fe3
https://doi.org/10.1134/s1995423914040065
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10
A family of highly stable second derivative block methods for stiff IVPs in ODEs
Autor: M. N. O. Ikhile, R. I. Okuonghae
Publikováno v: Numerical Analysis and Applications. 7:57-69
This paper considers a class of highly stable block methods for numerically solving initial value problems (IVPs) in ordinary differential equations (ODEs). The boundary locus of the proposed parallel one-block, r-output point algorithms shows that t
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::20faf47474a3c7e08c9be90c1b56ab2c
https://doi.org/10.1134/s1995423914010066
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