Sentence examples for ordinary equation from inspiring English sources

The homotopy perturbation method (HPM) is employed to analysis the present nonlinear ordinary equation.

Galerkin procedure is used to obtain the second order nonlinear ordinary equation in time with cubic nonlinear term.

As referred to one ordinary equation of motion, second order perturbation analyses are developed and the solutions are used to enlight the features of the two dynamic phenomena for technical cables with various sag-to-span ratios.

Case 3. When, the general elliptic equation is reduced to the auxiliary ordinary equation [7] (2.16).

For example, Pontryagin's maximum principle [29] allows the calculation of the optimal control for an ordinary equation model system with a given constraint.

Theorem 1 Assume that (E) has a solution of degree ℓ > 0, then for any λ ∈ ( 0, 1 ) so does the ordinary equation.

In Russia, the works on singularly perturbed ordinary equations are concerned by boundary function method [2 5].

The resultant ordinary equations were then solved using the spectral relaxation method.

For every positive integer, let, consider the following ordinary equations with initial data in : (217).

Ordinary equations are used to implement this kinetic model.

We solved the model equations by the numerical ordinary differential equation solvers available in MATLAB.