Sentence examples for transformed equation of from inspiring English sources

Applying this transformation must then result in a transformed equation of exactly the same type as the original equation.

The strength of ANN modeling is exploited for the transformed equation of drainage problem which is derived from original partial differential equation using similarity transform.

We note that the more general equation (1.2). can be factorised as, however, reversing the factors that is, finding does not necessarily result in a transformed equation of the same type as (1.2).

The importance of obtaining a transformed equation of exactly the same form as the original equation, is that ultimately we will (in a sequel to the current paper) use these transformations to establish a hierarchy of boundary value problems with (1.1) and various boundary conditions; see [4] for the differential equations case.

However, the optimization is now performed in a transformed equation of the decoupled form.

The controller is expressed in transformed equations of motion with a diagonal inertia matrix.

In this paper, the linearization of third-order ordinary differential equations, which are the transformed equations of the quintic nonlinear beam equation, is presented.

It is shown that one may eliminate periodic coefficients from the transformed equations of motion, even when the matrices being transformed do not satisfy the "multiplicity condition".

Although DTM is not able to evaluate the derivatives symbolically, relative derivatives can be calculated in an iterative way which is described by the transformed equations of the original function.

Structures with isotropic bladed rotors can be modally analyzed by eigenvalue analysis of time-invariant Coleman transformed equations of motion related to the inertial frame or by Floquet analysis of the periodic equations of motion.

The transformed equations of the quintic nonlinear beam equation in the research of Sripana and Chatanin, which are fourth-order nonlinear ordinary differential equations, can be reduced to third-order ordinary differential equations and have the form that corresponds to the third-order equation in the linearization theorem of Ibagimov and Meleshko.