Sentence examples for using the exact solution from inspiring English sources

Proposed formulation is verified using the exact solution of Kovasznay flow.

The right hand side homogeneous functions, initial and boundary conditions are obtained using the exact solution as a test procedure.

The natural frequencies and mode shapes of the plate are calculated by using the exact solution based on three coupled equilibrium equations.

The right-hand side homogeneous functions, initial and boundary conditions may be obtained using the exact solution as a test procedure.

The right-hand side homogeneous functions, initial and boundary conditions may be obtained by using the exact solution as a test procedure.

Many attempts have been made to solve the assembly line balancing (ALB) problems using the exact solution methods, heuristics, and meta-heuristic approaches.

The right-hand side functions and boundary conditions can be obtained by using the exact solutions.

The right-hand side functions and the Dirichlet boundary conditions are determined using the exact solutions.

This includes the difficulty of using the exact solutions and the unwanted fluctuations, which arise in the numerical results.

By using the exact solutions and bifurcations of this sub-equation which was derived in [23], some new traveling wave solutions and quasi-periodic traveling wave solutions of the KdV-Sawada-Kotera-Ramani equation are derived in Section 2.

This figure gives a clear example that it is dangerous to make any conclusions about the long-term behavior of the nonlinear system using the exact solutions of the approximate linear system.