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Moreover, there exists a constant (alpha>0), such that the decay estimate biglVert (nabla u,nablatheta) (t) bigrVert ^{2}_{H^{1}}+biglVert nabla d(t) bigrVert ^{2}_{H^{2}}leq Ce^{-alpha t} (2.4) is valid for some positive constant C. In this section, we will get an approximate solution for the system (1.3 - 1.5 1.3 - 1.5 of the Galerkin approximation.
The solutions are then combined through 'matching' to obtain an approximate solution for the whole domain.
The satisfaction of these conditions yields an approximate solution for the displacements and stresses.
Heydari [13] proposed a Legendre wavelets Galerkin method to obtain an approximate solution for FSDE.
In this section with using of Galerkin method, we find an approximate solution for Eq. (1).
However, the controller generated by the data-driven AVI algorithm is an approximate solution for the optimal control problem.
Based on Lemma 5.2, we suggest and analyze the following iterative algorithm forfinding an approximate solution for SGVI (5.1).
Their decision model is implemented in Excel and generates an approximate solution for up to 14 items.
This equilibrium-dispersive model also yields expressions for temporal moments, which provide an approximate solution for the distribution.
It is shown that, in such situations, both an exact and an approximate solution for equivalent thermophysical properties can be devised.
Self-interaction of a single resonance mode is assumed in the perturbation analysis to obtain an approximate solution for near-resonance response.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com