THE NATURAL TRANSFORM DECOMPOSITION METHOD FOR LINEAR AND NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS

Haci Mehmet Baskonus; Hasan Bulut; Yusuf Pandir

Haci Mehmet Baskonus
Hasan Bulut
Yusuf Pandir

Keywords: Natural Transform, Linear partial differential equations, Decomposition Method, Inviscid Burgersâ€™ Equation, Sumudu Transform, Laplace Transform.

Abstract

Nonlinear partial differential equations have aroused very attention and deeper interest among scientists in a lot of fields such as engineering, physic and applied sciences in terms of numerical solution of nonlinear partial differential equations and comparison of them. In this paper, we studied to find solutions of homogeneous and nonhomogeneous nonlinear partial differential equations by Natural Transform Decomposition Method (NTDM) which is formed by combining Natural Transform Method and Decomposition Method. Then, we drew 2D and 3D graphics of these equations by means of programming language Mathematica 7.