Sentence examples for using the differential transformation from inspiring English sources
Using the differential transformation method, the differential transform version of equation (5) is ( k + 1 ) U ( k + 1 ) = 1 2 ∑ l = 0 k 1 2 l l ! 1 2 k − l U ( k − l ) + 1 2 U ( k ), k ≥ 0 (6).
Saeed and Rahman [31] also solved equation (8) using the differential transformation method, but they transformed equation (8) into a system of three differential equations, which is a uselessly complicated approach to solving equation (8).
Equation (15) has been also investigated by Yiǧider et al. [34] using the differential transformation method.
The governing equations of the system are derived using a Lagrangian formulation and are solved in dimensionless time using the differential transformation method (DTM).
In this paper a solution to the problem of finding the shape of piezoelectric modal sensors for a cantilever beam with intermediate support is proposed by using the differential transformation method (DTM).
In this paper, a solution to the problem of finding the shape of piezoelectric modal sensors for non-uniform Euler Bernoulli beams with rectangular cross-sections is proposed by using the differential transformation method (DTM).
The differential transformation method (DTM) is used as an analytical technique to tackle the highly nonlinear system of ordinary differential equations.
In this study a simple and highly accurate semi-analytical method called the Differential Transformation Method (DTM), is used for solving the governing equations of peristaltic nanofluid flow in drug delivery systems.
In the present paper, we have shown that the differential transformation method can be successfully used for solving nonlinear differential and integro-differential equations with proportional delays.
The nonlinear system of differential equations is solved with the differential transformation method (DTM) which is a semi-analytical technique.
The approximate solutions obtained are compared with the differential transformation method (DTM) and exact (numerical) solutions.
