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Bulletin of Pure and Applied Sciences- Math& Stat. (Started in 1982)
eISSN: 2320-3226
pISSN: 0970-6577
Impact Factor: 4.895 (2017)
DOI: 10.5958/2320-3226
Editor-in-Chief:  Prof. Dr. Lalit Mohan Upadhyaya
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Article Details

Bulletin of Pure and Applied Sciences- Math& Stat. (Started in 1982)
Year : 2019, Volume & Issue : BPAS-Maths & Stat 38E(1), JAN-JUN 2019
Page No. : 231-234, Article Type : Original Aticle
Article DOI : 10.5958/2320-3226.2019.00021.3 (Received on 05.02.2019 Revised on 20.04.2019 Accepted on 07.05.2019)

KAMAL DECOMPOSITION METHOD FOR SOLVING NONLINEAR DELAY DIFFERENTIAL EQUATIONS

A. Emimal Kanaga Pushpam1, C. Dhinesh Kumar2,*
Author’s Affiliation : 1Associate Professor, Department of Mathematics, Bishop Heber College, Trichy, Tamil Nadu 620017, India. E-mail: [email protected] 2Research Scholar, Department of Mathematics, Bishop Heber College, Trichy, Tamil Nadu 620017, India. E-mail:[email protected]

Corresponding Author : C. Dhinesh Kumar, Research Scholar, Department of Mathematics, Bishop Heber College, Trichy, Tamil Nadu 620017, India.,
E-Mail:-[email protected]


Abstract

In this paper, the Kamal Decomposition Method is proposed to solve nonlinear Delay Differential Equations. The proposed method is a combination of Kamal Transform and Adomian Decomposition Method. In this study, the solution is obtained as a series by first applying the Kamal Transform to the delay differential equations and then decomposing the nonlinear term by finding Adomian polynomial. Numerical examples are given to illustrate the effectiveness of our proposed method in solving nonlinear delay differential equations

2010 Mathematics Subject Classification:  34K17, 65L

Keywords

Kamal decomposition, Adomian polynomial, Nonlinear delay differential equations
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