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...

In this paper, the free vibration analysis of non-uniform rotating Euler–Bernoulli beam is

carried out. It is assumed that the beam has exponentially decaying circular cross-section.

In order to solve the problem, the differential...

formulating the governing initial value problem which is a

coupled system of differential equations with variable coefficients, the differential transform

method (DTM) is employed to obtain an analytical solution. The proposed solutions...

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...