Open AccessSolution Of Singularly Perturbed Delay Differential Equations Using Liouville Green Transformation
Author(s) -
M. Adilaxmi
Publication year - 2021
Publication title -
türk bilgisayar ve matematik eğitimi dergisi
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.218
H-Index - 3
ISSN - 1309-4653
DOI - 10.17762/turcomat.v12i4.510
Subject(s) - mathematics , perturbation (astronomy) , transformation (genetics) , delay differential equation , singular perturbation , method of matched asymptotic expansions , differential equation , mathematical analysis , taylor series , physics , chemistry , biochemistry , quantum mechanics , gene
This paper envisages the use of Liouville Green Transformation to find the solution of singularly perturbed delay differential equations. First, using Taylor series, the given singularly perturbed delay differential equation is approximated by an asymptotically equivalent singularly perturbation problem. Then the Liouville Green Transformation is applied to get the solution. The method is demonstrated by implementing several model examples by taking various values for the delay parameter and perturbation parameter.