Sentence examples for function solutions from inspiring English sources

Each of the obtained solutions, namely hyperbolic function solutions, trigonometric function solutions and rational function solutions contain an explicit linear function of the variables in the considered equation.

Each of the obtained solutions, namely hyperbolic function solutions, trigonometric function solutions and rational function solutions, contain an explicit function of the variables in the considered equation.

The hyperbolic function solutions and the trigonometric function solutions with free parameters of these equations have been obtained.

Each of the obtained solutions, namely hyperbolic function solutions and trigonometric function solutions contain an explicit linear function of the variables in the considered equation.

It can be concluded that mobility function solutions may create incitements for sustainability.

This paper also Determinationthe mathematical efficiency and reliability of the SIF weight funcrack compositipn concept.

The numerical schemes make use of Green's function solutions of diffusion equations, and consequently no spatial discretization is involved.

We obtain some new travelling wave structures such as complex function, hyperbolic function and rational function, exponential function solutions.

The Green function solutions are found by a combination of the representative cell technique and the finite element method.

This paper presents analytical Green's function solutions for an isotropic elastic half-space subject to anti-plane shear deformation.

When these parameters are taken to be special values, the solitary wave solutions, the periodic wave and the rational function solutions are derived from exact solutions.