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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
203 _aText
_celectronic
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
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
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.
701 1 _aOyelami
_bO.
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
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
801 2 _aRU
_b63413507
_c20190227
_gRCR
856 4 _uhttp://dx.doi.org/10.1088/1742-6596/1145/1/012040
856 4 _uhttp://earchive.tpu.ru/handle/11683/52905
942 _cCF