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The measured daily flow rate data were used as time series boundary conditions to drive the model.
This layer appears to correspond to the Westphalian-Stephanian Series boundary of western Europe and the Desmoinesian-Missourian boundary in the midcontinent of North America.
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With the rapid development of science and technology, a series of boundary value problems with integral boundary conditions appeared in various industries and fields, for example, thermal conduction, chemical engineering, semiconductors, underground water flow, hydrodynamics, thermoelasticity, and related topics; one may refer to [5 9].
The shape variable is then associated with the coordinates of a series of boundary nodes located on the new crack surface.
The applied tractions are expanded in Fourier Bessel series and boundary conditions are used to yield a system of simultaneous equations.
Effective inversion of the preconditioner involves the Fast Fourier Transform FFTT) and numerical solution of a series of boundary value problems for ordinary differential equations.
Therefore the following ansatz is used for the total potential in the tail: (17) In order to determine the coefficients of this series, the boundary condition (7) has to be used.
A commercial finite elements code (COMSOL Multiphysics®, V4.4) has been used for solving the heat conduction problem in a 2D symmetrical domain, adopting hourly time series as boundary conditions in order to consider the ground surface temperature and the energy requirement at the HGHE.
It is shown that the practical form of [sij] that enumerates the secondary structure segments and their interconnections can be converted into Eulerian graph G. Mathematical analysis of G provides a series of boundary conditions for the descriptor elements which are needed as reliability conditions in practical applications.
The energy equation is formulated for the in-plane free vibration description of FGM annular plate, with the admissible functions constructed as the superposition of standard Fourier series and boundary smoothed polynomials to make the spatial differential continuous enough in the entire solving domain.
The initial boundary-value problem is transformed to a series of boundary-value problems for elliptic equations via the integral Laguerre transform with respect to time.
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CEO of Professional Science Editing for Scientists @ prosciediting.com