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The optimal number of quay cranes and corresponding scheduling scheme can be obtained by solving the coupling model.
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Careful numerical investigations are carried out by solving the coupled computational fluid dynamic equations.
Therefore, the problem is reduced by solving the coupled equation system (1) and (3) with the following constraints: (5) (6)and Eqs.
The moving collocation method is carried out by solving the coupled system consisting of an MMPDE and {(12), (13)}.
Solutions are obtained in wavenumber space by solving the coupled wave equation in 3-D.
The results are obtained by solving the coupled nonlinear partial differential equations describing the conservation of mass, momentum and energy by a perturbation technique.
By solving the coupled-wave equations, the optimum conditions for efficient TPC are obtained, for which the negative phase mismatches must be introduced owing to Gouy effect.
The mathematical homogenization of piezoelectric material is implemented using the finite element method (FEM) by solving the coupled equilibrium electrical and mechanical fields.
Application of the transfer matrix and by solving the coupled field equations, solutions to the mechanical displacements are obtained for the film and elastic substrate, respectively.
Solutions of the mechanical displacement and electrical potential function are obtained for the piezoelectric layer and elastic substrate by solving the coupled electromechanical field equations.
The velocity, temperature and concentration fields, heat transfer coefficient ratio, and pressure drop are obtained numerically by solving the coupled momentum, energy and concentration equations.
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