Solution of Third Order Kortewege-De Vries (KdV) Nonlinear Partial Differential Equations By Elzaki Adomian Decomposition Method

Abstract

In this paper we have to find the solution of Third Order Kortewege-De Vries (KdV) nonlinear partial differential equation by Elzaki Adomian Decomposition Method. Elzaki transform is applied and then nonlinear term handled with the help of Adomian polynomial. We get exact solution of Kortewege-De Vries (KdV) nonlinear partial differential equations. It is believed that this work will make it easy to study the Kortewege-De Vries (KdV) nonlinear partial differential equations arising different areas of research and innovation. Therefore the current method can be extended for the solution of higher order Kortewege-De Vries (KdV) nonlinear partial differential equations and relevant problems. We give illustration through three problems.