Reliability and Effectiveness of the Differential Transformation Method for Solving Linear and Non-Linear Fourth order Boundary Value Problems


In this paper, differential transformation method is applied to construct analyticsolutions of the boundary value problems for linear and non-linear 4th order nonhomogenousdifferential equations. The differential transformation method istested using three physical model problems. Results are presented in tables andfigures. It was appeared in comparing results of the differential transformationmethod with Rung- Kutta , and RK-Butcher solutions that the differentialtransformation method is more reliable and effective in solving linear and nonlineardifferential equations.