The numerical method involves finite element calculation. It is demonstrated that numerical methods can provide an important insight into ridges keels behavior. The numerical and analytical results obtained using Russian recommendations for vertical structures are in a good agreement.Aleksei M. Vakulenko...
We prefer the analytical method in general because it is faster and because the solution is exact. Nevertheless, sometimes we must resort to a numerical method due to limitations of time or hardware capacity.A good example is in finding the coefficients in a linear regression equation that can ...
The first approach is based on the Rayleigh–Ritz method, a double series expansion in terms of Chebyshev polynomials and harmonic functions is considered for the displacement fields; free and clamped edges are analysed. This approach is partially numerical. The second approach is based on the ...
These solutions are compared to numerical calculations with variable slug sizes and used to explore the effect of slug size, injecting water vs gas first, and the average injection composition on displacement efficiency in compositional WAG schemes. The example model is partially miscible WAG injection...
The method of variation of parameters is significantly more efficient than both the semi-analytical methods and traditional numerical methods while maintaining comparable accuracy. Unlike the semi-analytical methods, the efficiency of variation of parameters is independent of the nonlinearity. Variation of ...
An efficient numerical scheme for analyzing bioconvection in von-Kármán flow of third-grade nanofluid with motile microorganisms Malik Zaka Ullah, T.S. Jang Pages 2739-2752 View PDF Article preview select article Bayesian analysis of 3-components Kumaraswamy mixture model: Quadrature method vs. Impo...
In this paper, the nonlinear two-point boundary vslue problem which has a secondary bifurcation point is solved by an anlyticnumerical mechod.The problem was first transformed analytically into finding roots of the trascendental equation Then the turning point was obtained numerically, λ_c=1.87452...
Importantly, this mathematical framework can immediately be applied to the systematic analysis of schematic models, such as those examined in earlier work using numerical methods5,10 or ad-hoc analytical optimizations3,6,7,8,9. Moreover, the analytic formulations developed here facilitate the ...
(e) and (f) stresses versus polar angle along the tunnel boundary with vs = 0.35 and 0.5 in cases subjected to surcharge 2, respectively; Fig. 5 plots the comparison between the analytical solution and numerical results on stresses along the tunnel boundary, as well as the stresses in the...
Numerical work on the behavior of elastic composites reinforced by continuous, aligned, coated fibers started to appear in the literature in the late 1980s. At first it concentrated on the responses to transverse loading, using the Finite Element Method (FEM) and the Boundary Element Method for ...