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

U. Mohammed, O. Oyelami, M. Semenov

Результат исследований: Материалы для журналарецензирование

2 Цитирования (Scopus)

Аннотация

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.

Язык оригиналаАнглийский
Номер статьи012040
ЖурналJournal of Physics: Conference Series
Том1145
Номер выпуска1
DOI
СостояниеОпубликовано - 9 янв 2019
Событие15th International Conference of Students and Young Scientists on Prospects of Fundamental Sciences Development, PFSD 2018 - Tomsk, Российская Федерация
Продолжительность: 24 апр 201827 апр 2018

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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