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

U. Mohammed, O. Oyelami, M. Semenov

Research output: Contribution to journalConference articlepeer-review

2 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number012040
JournalJournal of Physics: Conference Series
Volume1145
Issue number1
DOIs
Publication statusPublished - 9 Jan 2019
Event15th International Conference of Students and Young Scientists on Prospects of Fundamental Sciences Development, PFSD 2018 - Tomsk, Russian Federation
Duration: 24 Apr 201827 Apr 2018

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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