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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 |
Files in This Item:
File | Description | Size | Format | |
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dx.doi.org-10.1088-1742-6596-1145-1-012040.pdf | 442,12 kB | Adobe PDF | View/Open |
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