Reliability and Effectiveness of the Differential Transformation Method for Solving Linear and Non-Linear Fourth order Boundary Value Problems
Engineering and Technology Journal,
2010, Volume 28, Issue 1, Pages 214-223
Abstract
In this paper, differential transformation method is applied to construct analyticsolutions of the boundary value problems for linear and non-linear 4th order nonhomogenous
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.
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