Some analysis on the homotopy perturbation method and variational iteration method

Homotpy Perturbation Method, Variational Iteration Method and convergence analysis of these methods is handled.This study consist of five chapters. It is aimed introduce Homotpy Perturbation Method and Variational Iteration Method ,apply these methods to some diferantial equations and also give convergence analysis of methods. In the first chapter, system of linear equations was solved with Homotpy Perturbation Method and convergence analysis of method was given.In the second chapter, Volterra and Fredholm type integral equations were solved with Homotpy Perturbation Method. Also conclusions of method was compared with integral theory conclusions. In the third chapter, an alternative approximation for Variational Iteration Method and convergence analysis of this method was given Also maximum error was estimated. In the fourth chapter, Multi-Pantograph delay equation was soved with Variational Iteration Method and convergence analysis was given. In the fifth chapter, Modified Variational Iteration Method was described and some of application results was given.