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The model has been simplified by using the Helmholtz decomposition technique and the resulting equations have been solved by using separation of variable method to obtain the secular equations in isolated mathematical conditions for the plates with stress-free or rigidly fixed, thermally insulated and isothermal boundary surfaces.
The governing highly nonlinear partial differential equation of motion, energy and nanoparticle volume fraction has been simplified by using suitable similarity transformations and then solved analytically with the help of HAM [24 39].
Recently, this model has been simplified by using a single-incision approach from the proximal direction and by monitoring the insertion of the pin with fluoroscopy.
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The procedure was simplified by using only the signals from three muscles.
The solution is simplified by using an exact dynamic reduction along with the modal expansion technique.
The boundary integral equations can be simplified by using the Green's functions as the kernels.
The tool clamp can be simplified by using an SMA ring, which is all that is needed for clamping.
The plotting of velocity vectors and their sums was simplified by using graphic instruments called computers before that term was appropriated for much more complex devices.
The AHP implementation steps will be simplified by using the 'Expert Choice' professional software that is available commercially and designed for implementing AHP.
The heat transfer problem is simplified by using an effective thermal conductivity for modeling the mixing obtained with a newly designed stirrer.
The TEG module is simplified by using a 1D heat conduction theory, so its thermal performance is equivalent to a real TEG.
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