Direct integrators of modified multistep method for the solution of third order boundary value problem in ordinary differential equations

U. Mohammed, M. Semenov, A. I. Ma'Ali, A. Abubakar, H. Abdullah

Research output: Contribution to journalConference articlepeer-review

Abstract

In this paper, we propose an efficient modified multistep method for direct solution of boundary value problems (BVPs) using multistep collocation approach. The continuous form was evaluated at grid and off-grid points to obtain the multiple finite difference schemes. The basic properties, such as order and error constants, zero stability and convergence analysis of the proposed methods were investigated. Numerical experiment were performed to show the efficiency of the method and the results were compared with the existing methods in the literature.

Original languageEnglish
Article number012075
JournalIOP Conference Series: Materials Science and Engineering
Volume597
Issue number1
DOIs
Publication statusPublished - 23 Aug 2019
Event16th International Conference of Students and Young Scientists on Prospects of Fundamental Sciences Development, PFSD 2019 - Tomsk, Russian Federation
Duration: 23 Apr 201926 Apr 2019

ASJC Scopus subject areas

  • Materials Science(all)
  • Engineering(all)

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