Numerical Solution of First Order Delay Differential Equation Using a Newly Developed Mathematical Expression for Evaluation of Delay Term

Authors

  • C Chibuisi Department of Insurance, University of Jos, Jos, Nigeria
  • B. O Osu Department of Mathematics, Abia State University, Uturu, Nigeria
  • S. A Ihedioha Department of Mathematics, Plateau State University, Bokkos, Nigeria
  • C. F Chikwe Department of Mathematics, University of Calabar, Calabar, Nigeria

Keywords:

First Order Delay Differential Equations, Block Method, Extrapolated Backward Differentiation Formulae, Delay Term

Abstract

This study aims to numerically solve several first-order delay differential equations (DDEs) for step numbers k =
2, 3, and 4 by employing the Extrapolated Block Backward Differentiation Formulae Method (EBBDFM). This
is accomplished by using a recently developed mathematical formula to evaluate its delay term. The continuous
form of each step number was used to generate discrete schemes, which were then constructed using a matrix
inversion technique and a linear multistep collocation approach. Applying this suggested method yielded results
demonstrating the accuracy and efficiency of the step number incorporated with an extrapolated future point,
which outperformed the other existing methods at Lower Computational Processing Unit Time (LCPUT),
particularly when compared to step numbers of K = 3 and 2.

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Published

2024-02-01

Issue

Vol. 10 No. 1 (2023): Journal of Science and Logics in ICT Research

Section

Articles