Simply stated, maximum values can be located by solving the equation f′(x) = 0.
The structural responses are then calculated by solving the equation of motion.
Dynamic responses are obtained by solving the equation of motion by the Runge Kutta method.
Then, the DCBs of satellites and receivers were determined by solving the equation set with the least-squares fitting technique.
Both the equilibrium state and the dynamic process of martensitic transformations are investigated by solving the equation of motion numerically.
The frequency equation for the string-mass model is derived by solving the equation of motion using the Laplace transform technique.
The latter was theoretically predicted by solving the equation of the bubble motion for the lateral direction in the boundary layer of the channel.
The mechanism of mass transfer during the incubation period is analysed by solving the equation of continuity for the diffusion cell numerically and considering that the diffusion coefficient is changing with time and concentration.
The stiffness model employs expressions of volume deformation, the pressure equation and the continuity equation in the orifice to derive the coupling equation, and the force and pressure are obtained by solving the equation with the Laplace transform method.
In this article, response spectra for equivalent SDOF systems under cleared blast loads are obtained by solving the equation of motion using the linear acceleration explicit dynamics method, with the clearing relief approximated as an acoustic pulse.
The intensity distribution in the image of a point object can be determined by solving the equation relating to the diffraction of light as it propagates from the point object to the lens, through the lens, and then finally to the image plane.
