KAMAL DECOMPOSITION METHOD FOR SOLVING NONLINEAR  DELAY DIFFERENTIAL EQUATIONS

A Emimal Kanaga  Pushpam; C Dhinesh Kumar

doi:10.48165/

Authors

A Emimal Kanaga Pushpam Associate Professor, Department of Mathematics, Bishop Heber College, Trichy, Tamil Nadu 620017, India.
C Dhinesh Kumar Research Scholar Department of Mathematics, Bishop Heber College, Trichy, Tamil Nadu 620017, India.

DOI:

https://doi.org/10.48165/

Keywords:

Kamal decomposition, Adomian polynomial, Nonlinear delay differential equations

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.

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