Open AccessAnalysis of Exponential–Polynomial Single Step Method for Singularly Perturbed Delay Differential Equations
Author(s) -
Sunday Emmanuel Fadugba,
J. Vinci Shaalini,
Oluwatayo Michael Ogunmiloro,
Joseph Temitayo Okunlola,
Funmilayo Helen Oyelami
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 - 10.1088/1742-6596/2199/1/012007
Subject(s) - mathematics , polynomial , exponential function , differential equation , delay differential equation , exponential stability , function (biology) , stability (learning theory) , mathematical analysis , nonlinear system , computer science , physics , quantum mechanics , evolutionary biology , machine learning , biology
This research presents Exponential – Polynomial Single Step Method (EPSSM), which uses non-linear polynomial interpolating function to solve Singularly Perturbed Delay Differential Equations (SPPDDEs). The stability polynomial of the method is obtained. The Local Grid Search Algorithm termed LGSA is applied in determining the stability region. The efficiency of these methods is compared with the other two numerical methods, namely Runge-Kutta Method (RKM) and Rational Single Step Method (RSM) through two examples of Singularly Perturbed Delay Differential Equations (SPPDDEs).