Reliability and effectiveness of the differential transformation method for solving linear and non-linear fourth order boundary value problems

الملخص EN

In this paper, differential transformation method is applied to construct analytic solutions of the boundary value problems for linear and non-linear 4th order non-homogenous differential equations.

The differential transformation method is tested using three physical model problems.

Results are presented in tables and figures.

It was appeared in comparing results of the differential transformation method with Rung- Kutta , and RK-Butcher solutions that the differential transformation method is more reliable and effective in solving linear and nonlinear differential equations.