An Orthogonal-based Self-starting Numerical Integrator for Second Order Initial and Boundary Value Problems ODEs; Journal of Physics: Conference Series; Vol. 1145 : Prospects of Fundamental Sciences Development (PFSD-2018)
| Parent link: | Journal of Physics: Conference Series Vol. 1145 : Prospects of Fundamental Sciences Development (PFSD-2018).— 2019.— [012040, 8 p.] |
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| Izvleček: | Title screen 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. |
| Jezik: | angleščina |
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2019
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| Online dostop: | http://dx.doi.org/10.1088/1742-6596/1145/1/012040 http://earchive.tpu.ru/handle/11683/52905 |
| Format: | Elektronski Book Chapter |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=659411 |
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| 200 | 1 | |a An Orthogonal-based Self-starting Numerical Integrator for Second Order Initial and Boundary Value Problems ODEs |f U. Mohammed, O. Oyelami, M. E. Semenov | |
| 203 | |a Text |c electronic | ||
| 300 | |a Title screen | ||
| 320 | |a [References: 18 tit.] | ||
| 330 | |a 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. | ||
| 461 | 1 | |0 (RuTPU)RU\TPU\network\3526 |t Journal of Physics: Conference Series | |
| 463 | 1 | |0 (RuTPU)RU\TPU\network\27935 |t Vol. 1145 : Prospects of Fundamental Sciences Development (PFSD-2018) |o XV International Conference of Students and Young Scientists, 24-27 April 2018, Tomsk, Russian Federation |o [proceedings] |f National Research Tomsk Polytechnic University (TPU) ; ed. A. Yu. Godymchuk (Godimchuk) |v [012040, 8 p.] |d 2019 | |
| 610 | 1 | |a электронный ресурс | |
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| 610 | 1 | |a интегрирование | |
| 610 | 1 | |a ортогональность | |
| 610 | 1 | |a начальные задачи | |
| 610 | 1 | |a гибридные методы | |
| 700 | 1 | |a Mohammed |b U. | |
| 701 | 1 | |a Oyelami |b O. | |
| 701 | 1 | |a Semenov |b M. E. |c mathematician |c Associate Professor of Tomsk Polytechnic University, Candidate of physical and mathematical sciences |f 1978- |g Mikhail Evgenievich |3 (RuTPU)RU\TPU\pers\31889 |9 15961 | |
| 712 | 0 | 2 | |a Национальный исследовательский Томский политехнический университет |b Инженерная школа ядерных технологий |b Отделение экспериментальной физики |3 (RuTPU)RU\TPU\col\23549 |
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| 856 | 4 | |u http://dx.doi.org/10.1088/1742-6596/1145/1/012040 | |
| 856 | 4 | |u http://earchive.tpu.ru/handle/11683/52905 | |
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