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

Firstly, some fundamental definitions are given. The primary structures of Homotopy Perturbation Method, Adomian Decomposition Method and Variational Iteration Method were given among the methods used in thesis. 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, Burgers' and Pavlov equations. We drawn graphics (2D and 3D) and constructed tables of approximate solutions and exact solution which are obtained for every equations. It is made a conversation of obtained datebases. 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.