000 | 02773nla2a2200445 4500 | ||
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001 | 659411 | ||
005 | 20231030041628.0 | ||
035 | _a(RuTPU)RU\TPU\network\27967 | ||
035 | _aRU\TPU\network\27960 | ||
090 | _a659411 | ||
100 | _a20190215d2019 k y0engy50 ba | ||
101 | 0 | _aeng | |
102 | _aGB | ||
105 | _ay z 100zy | ||
135 | _avrcn ---uucaa | ||
181 | 0 | _ai | |
182 | 0 | _ab | |
200 | 1 |
_aAn Orthogonal-based Self-starting Numerical Integrator for Second Order Initial and Boundary Value Problems ODEs _fU. Mohammed, O. Oyelami, M. E. Semenov |
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203 |
_aText _celectronic |
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300 | _aTitle screen | ||
320 | _a[References: 18 tit.] | ||
330 | _aThe 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 _tJournal of Physics: Conference Series |
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463 | 1 |
_0(RuTPU)RU\TPU\network\27935 _tVol. 1145 : Prospects of Fundamental Sciences Development (PFSD-2018) _oXV International Conference of Students and Young Scientists, 24-27 April 2018, Tomsk, Russian Federation _o[proceedings] _fNational Research Tomsk Polytechnic University (TPU) ; ed. A. Yu. Godymchuk (Godimchuk) _v[012040, 8 p.] _d2019 |
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610 | 1 | _aэлектронный ресурс | |
610 | 1 | _aтруды учёных ТПУ | |
610 | 1 | _aкраевые задачи | |
610 | 1 | _aинтегрирование | |
610 | 1 | _aортогональность | |
610 | 1 | _aначальные задачи | |
610 | 1 | _aгибридные методы | |
700 | 1 |
_aMohammed _bU. |
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701 | 1 |
_aOyelami _bO. |
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701 | 1 |
_aSemenov _bM. E. _cmathematician _cAssociate Professor of Tomsk Polytechnic University, Candidate of physical and mathematical sciences _f1978- _gMikhail Evgenievich _2stltpush _3(RuTPU)RU\TPU\pers\31889 |
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712 | 0 | 2 |
_aНациональный исследовательский Томский политехнический университет _bИнженерная школа ядерных технологий _bОтделение экспериментальной физики _h7865 _2stltpush _3(RuTPU)RU\TPU\col\23549 |
801 | 1 |
_aRU _b63413507 _c20150101 _gRCR |
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801 | 2 |
_aRU _b63413507 _c20190227 _gRCR |
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856 | 4 | _uhttp://dx.doi.org/10.1088/1742-6596/1145/1/012040 | |
856 | 4 | _uhttp://earchive.tpu.ru/handle/11683/52905 | |
942 | _cCF |