Comparison of numerical solutions obtained with semi-analytical methods of generalized Korteweg-de Vries (GKdV) equation

This thesis is arrenged in four chapters.In the first chapter, we give some fundemental definitions and theorems which will be used in the later chapters.In the second chapter, we give general structures of Adomian Decomposition Method, Variational Iteration Method and Homotopy Perturbation Method. Furthermore, we give the calculation of Adomian polynomials which we need in the course of applying Adomian Decomposition Method.In the first and second section of third chapter, we explain the concept of Generalized KDV equation and soliton. In the third section of this chapter, numerical solitions of the equation were investigated by applying ADM, VIM and HPM methods respectively to the Generalized KDV equation.In the fourth chapter, we remark about sensitivity of the methods of Generalized KDV equation which investigated as numerical.