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Convergence analysis shows that the computer-friendly representation can be used for numerical computation.
The modified Lax-Wendroff scheme is used for numerical computation ([Ugai 2008]).
The first-order shear deformation theory is applied to study the effect of the transverse shear deformation of the plates and the element-free IMLS-Ritz method is used for numerical computation.
The first-order shear deformation theory (FSDT) is employed to account for the effect of transverse shear deformation of the plates and the element-free IMLS-Ritz method is used for numerical computation.
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The commercial CFD package, FLUENT, which employs the finite volume method, was used for numerical computations.
Then, the methods of harmonic differential quadrature (HDQ) and discrete singular convolution (DSC) are used for numerical computations.
The first one gives a qualitative result (since an estimate for q is not given and, therefore, it is not clear how small β should be to guarantee the inequality (alpha+beta q<1) and we cannot use (59) for numerical computations).
It is clear that Vieta's formula cannot be used for the numerical computation of π.
A grid containing about 956,465 meshes was used for the numerical computation in this study.
The basic equations (1) are transformed to a conservation-law form, and two-step Lax Wendroff scheme is used for the numerical computation.
The images were stacked to reconstruct its 3-dimensional (3D) geometry (Fig. 1), and used as the basis for numerical computation of the surface fluid stresses using finite element method based on the low Reynolds number Stokes approximation of the equation of motion for a Newtonian fluid (culture medium), as described.
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