Sentence examples similar to differential transforming 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).

In this study, generalized Hirota Satsuma coupled KdV equation is solved using by two recent semi-analytic methods, differential transform method (DTM) and reduced form of differential transformation method (so called RDTM).

The natural frequencies are obtained using differential transform method (DTM).

An easy way to derive the differential transform of Eqs.

One of them is the differential transform method.

(19) Here σ is the order of the differential transform.

where F(k) is the differential transform of y(t).

The proposed scheme is based on the differential transform method (DTM), Laplace transform and Padé approximants.

In the case of α = 1 and β = 1, the generalized two-dimensional differential transform (3.1) reduces to the classical two-dimensional differential transform [24].

In case of α = 1 and β = 1, the generalized two-dimensional differential transform (1) reduces to the classical two-dimensional differential transform.

The double differential transform method has been used for the analytical analysis.