Sentence examples for powerful tool for solution of from inspiring English sources

The least-square finite element method is a powerful tool for solution of hyperbolic and elliptic equations, while the Galerkin method can not solve hyperbolic equations because developed stiffness matrix by Galerkin method is non-symmetric.

The complex variable theory provides a very powerful tool for the solution of many problems in elasticity.

We recall that the monotone iterative technique represents a powerful tool for seeking the solution of a nonlinear problem.

This method, when combined with analytical techniques, for example the perturbation approach, forms a powerful tool for finding periodic solutions of non-linear systems and the analysis of their stability in closed form.

On the other hand, convex analysis is a powerful tool for the investigation of optimal solutions of vector optimization problems.

Mathematical formulations are a powerful tool for nonobvious solutions that speed up the time to market by analyzing a large number of alternatives in a systematic way.

The monotone iterative technique combined with the method of upper and lower solutions is a powerful tool for proving the existence of solutions of differential equations/system (see [4 9] and the references therein), the advantage and importance of the technique needs no special emphasis [10 12].

Examples demonstrate that the bubble pressure technique provides a powerful tool for studies of adsorption dynamics even for solutions of higher viscosities.

Fixed point theory is a powerful tool for investigating the convergence of the solutions of iterative discrete processes or that of the solutions of differential equations to fixed points in appropriate convex compact subsets of complete metric spaces or Banach spaces, in general, [1 12].

Social media has become a powerful tool for the organization of mass gatherings of all types.

The monotone iterative technique, combined with the method of upper and lower solutions, is a powerful tool for proving the existence of solutions for nonlinear ordinary differential equations [1 3] and for nonlinear Caputo fractional differential equations of order (0< alpha <2), see [4 7] and the references therein.