Numerical Computation of Delay Differential Equation using Laplace Transform and Lambert W Function | Zendy

Ms. Sathiya Sujitha. S | Zendy; D. Piriadarshani | Zendy

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Numerical 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) - laplace transform , lambert w function , green's function for the three variable laplace equation , mathematics , computation , mathematical analysis , laplace transform applied to differential equations , delay differential equation , inverse laplace transform , function (biology) , differential 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.

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