Sentence examples for determine the exact solution from inspiring English sources
It is obvious that two components only were sufficient to determine the exact solution of Eq. (3.1).
In this work, we study and extend the one-dimensional fractional derivative to the multidimensional space-time fractional derivative, determine the exact solution via the Laplace transform, and develop mathematical foundations of the respective operators.
This approach can be used in order to determine the exact solutions to elasticity boundary value problems in domains with small holes and determine the explicit asymptotic expansions of solutions with respect to small parameter, which describes the radius of internal hole.
The objective of the present work was to determine the exact solutions for the accelerated flows in a rotating frame.
The methods used to determine the exact solutions of the underlying system are the Lie group analysis and the simplest equation method.
This paper aims at determining the exact solutions for the first five natural frequencies and mode shapes of a Timoshenko multi-span beam subjected to the axial force.
Thus, this paper aims at determining the "exact" solutions for the natural frequencies and mode shapes of a uniform multi-span beam carrying multiple spring mass systems.
We propose a new method for determining the exact solutions and source terms on a uniform structured grid containing shock discontinuities by performing linearly and quadratically exact transformations on split cells.
When applying the method of manufactured solutions (MMS) on computational fluid dynamic software, determining the exact solutions and source terms for finite volume codes where the stored value is an integrated average over the control volume is non-trivial and not frequently discussed.
This motivates an investigation to determine the exact analytical optimum solution for selecting the stiffness and damping design values of RIDTMD when the primary structure is subjected to random force and base excitation.
The replacement stiffnesses which are independent of the length of the beam were determined from the exact solution by taking its Taylor series expansion with respect to the inverse of the length of the beam.
