A 3-step fourth derivatives method for numerical integration of third order ordinary differential equations

  • M. I. Modebei1 Department of Mathematics Programme, National Mathematical Centre, Abuja, Nigeria
  • O. O. Olaiya Department of Mathematics Programme, National Mathematical Centre, Abuja, Nigeria
  • A. C. Onyekonwu Department of Mathematics Programme, National Mathematical Centre, Abuja, Nigeria
DOI: https://doi.org/10.6084/m9.figshare.14679912

Abstract

A 3-Step Hybrid Block Method (S3HBM) with three mid-step grid points based on Linear Multistep Method is presented in this work for direct approximation of solution of third-order
Initial and Boundary Value Problems (IVPs and BVPs). Multiple Finite Difference formulas are derived using the collocation technique. These formulas are unified in a block formulation to
form a numerical integrator that solves general third-order ordinary differential equations. Basic properties of the derived method are discussed. The superiority of this method over existing
methods is established numerically on different test problems, to show its better performance in terms od accuracy.

Published
2021-06-03
How to Cite
Modebei1M. I., Olaiya, O. O., & Onyekonwu, A. C. (2021). A 3-step fourth derivatives method for numerical integration of third order ordinary differential equations. International Journal of Mathematical Sciences and Optimization: Theory and Applications, 7(1), 32 - 42. https://doi.org/10.6084/m9.figshare.14679912
Issue
Vol 7 No 1 (2021)
Section
Articles

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