Computational Treatment of First Order Delay Differential Equations Using Hybrid Extended Second Derivative Block Backward Differentiation Formulae

C. Chibuisi, Bright Okore Osu, C. Olunkwa, S. A. Ihedioha and S. Amaraihu
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C. Chibuisi: University of Jos, Nigeria
Bright Okore Osu: Michael Okpara University of Agriculture, Nigeria
C. Olunkwa: Abia State University, Nigeria
S. A. Ihedioha: Plateau State University, Nigeria
S. Amaraihu: School of Sciences Abia State College of Education Technical, Nigeria

European Journal of Mathematics and Statistics, 2020, vol. 1, issue 1

Abstract: This paper considers the computational solution of first order delay differential equations (DDEs) using hybrid extended second derivative backward differentiation formulae method in block form without the implementation of interpolation techniques in estimating the delay term. By matrix inversion approach, the discrete schemes were obtained through the linear multistep collocation approach from the continuous form of each step number which after implementation strongly revealed the convergence and region of absolute stability of the proposed method. Computational results are presented and compared to the exact solutions and other existing method to demonstrate its efficiency and accuracy.

Keywords: First order delay differential equations; hybrid block method; off-grid point; extended future points; backward differentiation formulae. (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:epw:ejmath:v:1:y:2020:i:1:id:14008

DOI: 10.24018/ejmath.2020.1.1.8

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