Open AccessImplementation of Two-step Hybrid Block Adams Moulton Solution Methods for First Order Delay Differential Equations
Author(s) -
C. Chibuisi,
Bright O. Osu,
S.O. Edeki,
G. O. Akinlabi,
Chidinma Olunkwa,
O. P. Ogundile
Publication year - 2022
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2199/1/012017
Subject(s) - linear multistep method , collocation (remote sensing) , convergence (economics) , block (permutation group theory) , mathematics , delay differential equation , interpolation (computer graphics) , stability (learning theory) , grid , computer science , algorithm , differential equation , ordinary differential equation , mathematical analysis , differential algebraic equation , animation , geometry , computer graphics (images) , machine learning , economic growth , economics
In this paper, Hybrid Block Adams Moulton Methods for step number k = 2 merged with two and three off-grid points were obtained and implemented in solving first order delay differential equations without the use of interpolation condition in evaluating the delay expression. The discrete schemes of these off-grid hybrid block methods were assessed through the continuous development of the linear multistep collocation method using a matrix conversion formula. The results obtained after the implementation of the proposed method in for numerical experiment of some first-order DDEs, the BHAMM2 schemes performed better and faster in satisfying the axioms for convergence and region of absolute stability than the BHAMM3 schemes at fixed step size z when examined with other existing methods.