The numerical solutions of nonlinear partial diferantial equations by using variational iteration method

This study is constructed five chapters.In chapter one, some fundamental definitions are given.In chapter two, the primary structures of Homotopy Perturbation Method, Adomian Decomposition Method and Variational Iteration Method are given.In chapter three, Homotopy Perturbation Method, Adomian Decomposition Method and Variational Iteration Method is applied to find approximate solutions of linear or nonlinear differential equations which have initial conditions such as Klein-Gordon, Burgers? and KdV equations. We drawn graphics (2D and 3D) and constructed tables of approximate solutions and exact solution which are obtained for every equations.In chapter four, it is made a conversation of obtained datebases.In chapter five, it has made a comparison of solution series of the obtained by applying Homotopy Perturbation Method, Adomian Decomposition Method and Variational Iteration Method to some linear or nonlinear differential equations by depending on obtained solutions.Key words: Homotopy Perturbation Method, Adomian Decomposition Method, Variational Iteration Method, Klein-Gordon Equation, Burgers Equation, KdV Equation,