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In the two cases, a sensitivity method applied to the discrete equations is used.
The first-order transverse shear deformation theory, involving five coupled partial differential equations, is used.
The method of modified equations is used to explain failings of Euler-based methods.
A procedure for weighting and deletion of equations is used to obtain better identification results.
The dynamic analogue of the von Kàrmàn equations is used to establish the governing equations.
A robust solution scheme for the basic flux and continuity equations is used to describe filtration and expression.
A pair of Riccati equations is used to give explicit formulas for the parameters of a desired controller.
The numerical implementation of the resulting set of constitutive equations is used in a finite element program for parameter identification.
The energy approach basis on the Lagrange equations is used to obtain the response of FG microplate.
A Robin boundary condition for the Navier Stokes equations is used to model slip conditions at the fluid-solid boundaries.
The numerical integration of geometric partial differential equations is used in many applications such as image processing, surface processing, computer graphics and computer-aided geometric design.
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