Computational study of a 3-step hybrid integrators for third order ordinary differential equations with shift of three off-step points

https://doi.org/10.46481/jnsps.2021.323

Authors

  • Mark I. Modebei Department of Mathematics Programme, National Mathematical Centre, Abuja, Nigeria
  • Olumide O. Olaiya Department of Mathematics Programme, National Mathematical Centre, Abuja, Nigeria
  • Ignatius P. Ngwongwo Department of Mathematics, Federal University of Technology, Owerri, Owerri, Nigeria

Keywords:

Third Order Ordinary Differential Equation, Initial Value Problem, Boundary Value Problems, Linear Multistep, Hybrid Method

Abstract

A Block of hybrid method with three off-step points based is presented in this work for direct approximation of solution of third-order Initial and Boundary Value Problems (IVPs and BVPs). This off-step points are formulated such that they exist only on a single step at a time. Hence, these points are shifted to three positions respectively in order to obtain three different integrators for computational analysis. These analysis includes; order of the methods, consistency, stability and convergence, global error, number of functions evaluation and CPU time. The superiority of these methods over existing methods is established numerically on different test problems in literature

Dimensions

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Published

2021-11-29

How to Cite

Mark I. Modebei, Olumide O. Olaiya, & Ignatius P. Ngwongwo. (2021). Computational study of a 3-step hybrid integrators for third order ordinary differential equations with shift of three off-step points. Journal of the Nigerian Society of Physical Sciences, 3(4), 459–468. https://doi.org/10.46481/jnsps.2021.323

Issue

Section

Original Research