• S.SADIYA
• A.POOMAGAL

The combination of Elzaki transform and Adomian was used to obtain the approximate analytical solutions of KdV equations in this research work. In total, three third order KdV equations were considered. Elzaki transform method was applied to obtain the approximate analytical solutions of all the aforementioned equations. Adomian polynomial was introduce as essential tool to linearize all the associated nonlinear terms in the equations since Elzaki transform cannot handle nonlinear terms. All the problem considered yield exact solutions with few iterations.

Keywords: Nonlinear Differential equations, Elzaki transform, Adomian polynomial,Third order KdV equations, Finite difference method

"ELZAKI TRANSFORM AND ADOMIAN POLINOMIAL FOR SOLVING THIRD ORDER NON-LINEAR KORTEWEG-DE VRIES EQUATIONS", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.7, Issue 4, page no.852-857, April-2020, Available :http://www.jetir.org/papers/JETIR2004115.pdf

"ELZAKI TRANSFORM AND ADOMIAN POLINOMIAL FOR SOLVING THIRD ORDER NON-LINEAR KORTEWEG-DE VRIES EQUATIONS", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.7, Issue 4, page no. pp852-857, April-2020, Available at : http://www.jetir.org/papers/JETIR2004115.pdf