Sentence examples for formulate the solution from inspiring English sources

First we provide a theoretical discussion on the salient characteristics of the dispersion relation of a laminate and formulate the solution of an interface problem by the application of the normal mode decomposition technique.

The algorithm methodology is based on generating an orthonormal basis from the reproducing kernel function to formulate the solution in form of uniformly convergent series, accordance with the constraint conditions in the space ω5[0,1].

To formulate the solution of the above problem in terms of a semigroup, we need to define a new function v ( x, t ) = u ( x, t ) + ( ψ 0 − ψ 1 ) x x 0 − ψ 0, x ∈ [ 0, x 0 ], (6).

In order to formulate the solution of the above parabolic problem in terms of a semigroup, let us use the same variable v ( x, t ) in identity (6), which satisfies the following parabolic problem: (16).

To formulate the solution of the above problem in terms of semigroup, we need to define a new function v ( x, t ) = u ( x, t ) + ( ψ 0 − ψ 1 ) x x 0 − ψ 0, x ∈ [ 0, 1 ], (6).

To formulate the solution of the above problem in terms of a semigroup, we need to define a new function v ( x, t ) = u ( x, t ) − ψ 2 x − ψ 0, x ∈ [ 0, x 0 ], (15).

She cannot stay with you!" It was gentle Abby who formulated the solution: "Put her back in the bog".

Different techniques had been used in formulating the solution for specific planning purposes.

The main advantage of the spectral-collocation method versus analytical ones is the ease of formulating the solution, especially for viscous fluids.

Formulating the solution of the integral differential equation for a harmonic pump pulsation one obtains a normalized displacement of the spring mass as a function of three parameters.

Mohanty et al. [32] and Talwar et al. [33] formulated the solution for one-dimensional parabolic equations with singular coefficients and nonlinear terms by using spline in compression approximations.