Useful Formulas for One-dimensional Differential Transform
Eman Anower Elmabrouk
Department of Mathematics, Faculty of Education, University of Benghazi, Benghazi, Libya.
Fawzi Abdelwahid *
Department of Mathematics, Faculty of Science, University of Benghazi, Benghazi, Libya.
*Author to whom correspondence should be addressed.
Abstract
In this work, we introduced new useful formulas for one-dimensional differential transform and applied the differential transform method to selected linear ordinary differential equations. This study showed that this method is powerful and efficient in finding series solutions for linear differential equations and capable of reducing the size of calculations comparing with other methods.
Keywords: Differential transform, Taylor series method, differential equations