Numerical solutions of regular perturbation problems

In this thesis, non-linear weak and strong oscillation equations with regular perturbation are solved numerically by differential transformation method and Lindstedt-Poincare method. An algebraic equation is obtained using the differential transformation method, and differential equations depending on this variable are obtained by changing the variable with the Lindstedt-Poincare method. Algorithms are written according to these new equations and an appropriate mathematical program is used. The exact solution and error values of the numerical results obtained here are presented in tables and graphs.