Please use this identifier to cite or link to this item: http://earchive.tpu.ru/handle/11683/52905
Title: An Orthogonal-based Self-starting Numerical Integrator for Second Order Initial and Boundary Value Problems ODEs
Authors: Mohammed, U.
Oyelami, O.
Semenov, Mikhail Evgenievich
Keywords: краевые задачи; интегрирование; ортогональность; начальные задачи; гибридные методы
Issue Date: 2019
Publisher: IOP Publishing
Citation: Mohammed U. An Orthogonal-based Self-starting Numerical Integrator for Second Order Initial and Boundary Value Problems ODEs / U. Mohammed, O. Oyelami, M. E. Semenov // Journal of Physics: Conference Series. — Bristol : IOP Publishing, 2019. — Vol. 1145 : Prospects of Fundamental Sciences Development (PFSD-2018) : XV International Conference of Students and Young Scientists, 24-27 April 2018, Tomsk, Russian Federation : [proceedings]. — [012040, 8 p.].
Abstract: The direct integration of second order initial and boundary value problems is considered in this paper. We employ a new class of orthogonal polynomials constructed as basis function to develop a two-step hybrid block method (2SHBM) adopting collocation technique. The recursive formula of the class of polynomials have been constructed, and then we give analysis of the basic properties of 2SHBM as findings show that the method is accurate and convergent. The boundary locus of the proposed 2SHBM shows that the new scheme is A-stable.
URI: http://earchive.tpu.ru/handle/11683/52905
Appears in Collections:Материалы конференций

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