Open AccessNumerical Computation of Delay Differential Equation using Laplace Transform and Lambert W Function
Author(s) -
Ms. Sathiya Sujitha. S,
D. Piriadarshani
Publication year - 2019
Publication title -
international journal of innovative technology and exploring engineering
Language(s) - English
Resource type - Journals
ISSN - 2278-3075
DOI - 10.35940/ijitee.k1772.0981119
Subject(s) - lambert w function , laplace transform , mathematics , green's function for the three variable laplace equation , computation , mathematical analysis , laplace transform applied to differential equations , function (biology) , differential equation , inverse laplace transform , delay differential equation , laplace's equation , algorithm , evolutionary biology , biology
In this paper a novel approach using Laplace transform for the solution of delay differential equation with a single delay based on Lambert W function has been investigated. An obtained result is extended to the nth order DDEs. Numerical examples have been provided to illustrate the obtained result.