An Orthogonal-based Self-starting Numerical Integrator for Second Order Initial and Boundary Value Problems ODEs

An Orthogonal-based Self-starting Numerical Integrator for Second Order Initial and Boundary Value Problems ODEs

Podrobná bibliografie
Parent link:Journal of Physics: Conference Series
Vol. 1145 : Prospects of Fundamental Sciences Development (PFSD-2018).— 2019.— [012040, 8 p.]
Hlavní autor: Mohammed U.
Korporativní autor: Национальный исследовательский Томский политехнический университет Инженерная школа ядерных технологий Отделение экспериментальной физики
Další autoři: Oyelami O., Semenov M. E. Mikhail Evgenievich
Shrnutí: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.
Vydáno: 2019
Témata:
электронный ресурс
труды учёных ТПУ
краевые задачи
интегрирование
ортогональность
начальные задачи
гибридные методы
On-line přístup:http://dx.doi.org/10.1088/1742-6596/1145/1/012040
http://earchive.tpu.ru/handle/11683/52905
Médium: Elektronický zdroj Kapitola
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=659411

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