Sentence examples for utilizing the exact solution from inspiring English sources
By utilizing the exact solution to the 1D-TFIM, we can analytically calculate the FIM for a large number of spins.
A solution procedure for studying the dynamic responses of a non-uniform Timoshenko beam with general time-dependent boundary conditions is developed by generalizing the method of Mindlin Goodman and utilizing the exact solutions of non-uniform Timoshenko beam vibration given by Lee and Lin.
To model finite fault rupture, which utilizes Green's functions, the exact solution of the representation relation can be used.
In recent years, many approaches have been utilized for finding the exact solutions of nonlinear partial differential equations.
The exact solution of inextensible catenaries in Cartesian coordinates is utilized to propose an efficient two-node cable element for static analysis of three-dimensional cable structures.
On the other hand, we utilized the monotone iterative method to construct two monotone sequences of upper and lower solutions which converge uniformly to the exact solution of the problem.
which is the exact solution.
The exact solution is presented.
(a) The surface of the exact solution.
The exact solution is (varphi(x)=x^{2}).
