Výsledky vyhledávání - "Continuous scheme"

Akademický článek

A Chebyshev polynomial based block integrator for the direct numerical solution of fourth order ordinary differential equations

Autor: Oladotun Ogunlaran, Michael Kehinde, Moses Akanbi, Emmanuel Akinola

Publikováno v: Journal of Nigerian Society of Physical Sciences, Vol 6, Iss 2 (2024)

This paper introduces an innovative method for numerically integrating fourth-order initial value problems by utilizing Chebyshev polynomials as the fundamental basis function. The block integrator base on Chebyshev polynomial demonstrates significan

Externí odkaz: https://doaj.org/article/cd8ade8b881d48cf810e13df8adb4392

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Akademický článek

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Akademický článek

Second Derivative Block Hybrid Methods for the Numerical Integration of Differential Systems

Autor: Dauda Gulibur Yakubu, Ali Shokri, Geoffrey Micah Kumleng, Daniela Marian

Publikováno v: Fractal and Fractional, Vol 6, Iss 7, p 386 (2022)

The second derivative block hybrid method for the continuous integration of differential systems within the interval of integration was derived. The second derivative block hybrid method maintained the stability properties of the Runge–Kutta method

Externí odkaz: https://doaj.org/article/35eb43b5b6e04047976c273f850dcfcf

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Application of second derivative Runge-Kutta collocation methods to stiff systems of initial value problems

Autor: Samaila MARKUS, Dauda Gulibur YAKUBU

Publikováno v: Leonardo Journal of Sciences, Vol 15, Iss 28, Pp 43-66 (2016)

In this paper we consider the construction of implicit second derivative Runge-Kutta collocation methods designed for the continuous numerical solution of stiff systems of first order initial value problems in ordinary differential equations. These m

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doajarticles::3e8228d737a6b6cb877b5d1846d4f9dc
http://ljs.academicdirect.org/A28/get_htm.php?htm=043_066

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Implicit two-derivative Runge–Kutta collocation methods for systems of initial value problems

Autor: D. G. Yakubu, A.M. Kwami

Publikováno v: Journal of the Nigerian Mathematical Society. 34(2):128-142

We introduce a new class of implicit two-derivative Runge–Kutta collocation methods designed for the numerical solution of systems of equations and show how they have been implemented in an efficient parallel computing environment. We also discuss

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::821fd8cf4cc814fdbfe2fdb00a0a91ba

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High Order A-stable Continuous General Linear Methods for Solution of Systems of Initial Value Problems in ODEs

Autor: Dauda GuliburYAKUBU, Abubakar Muhammad KWAMI, AbdulHamid Muhammad GAZALI, Abdu Ibrahim MAKSHA

Publikováno v: Leonardo Journal of Sciences, Vol 11, Iss 21, Pp 13-32 (2012)

Accurate solutions to initial value systems of ordinary differential equations may be approximated efficiently by Runge-Kutta methods or linear multistep methods. Each of these has limitations of one sort or another. In this paper we consider, as a m

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doajarticles::960fa76d54aecf8deda7efa9cbfed503
http://ljs.academicdirect.org/A21/013_032.htm

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A family of uniformly accurate order Lobatto-Runge-Kutta collocation methods

Autor: A. I. Maksha, N. H. Manjak, S. S. Buba, D. G. Yakubu

Publikováno v: Computational & Applied Mathematics v.30 n.2 2011
Computational & Applied Mathematics
Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
instacron:SBMAC
Computational & Applied Mathematics, Volume: 30, Issue: 2, Pages: 315-330, Published: 2011

We consider the construction of an interpolant for use with Lobatto-Runge-Kutta collocation methods. The main aim is to derive single symmetric continuous solution(interpolant) for uniform accuracy at the step points as well as at the off-step points

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::32c4cc55af880735bb69d9d801c84ec8
https://doi.org/10.1590/s1807-03022011000200004

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A special class of continuous general linear methods

Autor: A.M. Kwami, M.L. Ahmed, D. G. Yakubu

Publikováno v: Computational & Applied Mathematics, Volume: 31, Issue: 2, Pages: 259-281, Published: 2012
Computational & Applied Mathematics v.31 n.2 2012
Computational & Applied Mathematics
Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
instacron:SBMAC

We consider the construction of a class of numerical methods based on the general matrix inverse [14] which provides continuous interpolant for dense approximations (output). Their stability properties are similar to those for Runge-Kutta methods. Th

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c410bf1f8633cb0101a7cb9104286495
http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022012000200003&lng=en&tlng=en

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