Comparison between Laplace-Elzaki Decomposition Methods for Solving Some Linear and Nonlinear Partial Differential Equations Rua

Abstract

In this study we presented two kinds of Integral Transforms Laplace Transform, and New Integral Transform "Elzaki Transform". We using this transformation to solve differential equations. We applied Laplace decomposition method and Elzaki decomposition method to solution for nonlinear partial differential equations. We solved some problems(Partial, System of DES and Integral Equations) using Laplace transform and Elzaki transform, and then compared the solutions