Sentence examples for achieve a closed form solution from inspiring English sources

As it is difficult to achieve a closed form solution of the above equation, we modify the boundary conditions leading to the following theorem: The solution to the diffusion problem outlined in Eqn 7 with boundary conditions 0 < x < l and > 0 is given by: (8) A standard method for obtaining the solution of the above partial differential equation (PDE) is to assume that the variables are separable.

In special cases a closed, or almost a closed form solution is obtained.

A closed form solution to a pre-filtering technique is presented which achieves the desired characteristics.

A closed form solution for simply-supported plates is presented.

The theoretical results are analytical with a closed form solution.

Thereafter a closed form solution to the reliability is available.

The proposed method is presented first for an infinite slope, leading to a closed form solution.

A closed form solution is found for static deflection and vibration about this position.

A truncated, nonuniform, finite array of strips does not have a closed form solution.

A closed form solution for a simply supported beam is available.

A closed form solution is obtained by applying Laplace transformations and the Wiener Hopf technique.