In this paper, we suggest an efficient method, based on the well-known multi-step differential transform method to considerably reduce the number of arithmetic operations of differential transform method. The proposed method is heavily depended...

We expand a new generalization of the two-dimensional differential trans form method. The new generalization is based on the two-dimensional differential transform method, fractional power series expansions, and conformable fractional derivative. We...

This article deals with the free in-plane vibration analysis of a frame with four arbitrary inclined

members by differential transform method. Based on four differential equations and sixteen boundary

and compatibility conditions...

transform method (DTM) is utilized. Based on our

knowledge, we claim that the recurrence relation presented herein is an elaborate recurrence

relation which has been obtained for ordinary differential equations. Non-dimensional natural...

This paper deals with the free vibration response of MDOF mass-spring systems with time variable

mass and constant stiffness. To show the necessity of this study, a review on the related

published articles ...

This paper aims to employ the differential transformation method for solving a fluid-structure interaction problem. The free vibration of an Euler-Bernoulli beam next to an incompressible, irrotational and inviscid fluid is administrated by a...

This paper is concerned with the free vibration of a gabled frame with rotational springs at

intersecting joints. Each member of the frame may have di®erent mechanical or geometrical

properties. The problem ...

In this paper, an analytical approximate method is proposed for solving linear Volterra partial integro-differential equations with a weakly singular kernel. This method is based on the fractional differential transform method -FDTM...

one-dimensional differential transform method (DTM) and new polynomials that are called DT’s polynomials.

This method simplifies the difficulties and massive computational work for calculating the differential

transform of nonlinear function. The convergence...

To solve the linear and nonlinear dynamic equation of motion, a family of explicit higher-order time integration algorithms is presented. The differential transformation method in conjunction with the state–space concept is used. In this study, four...