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This modified equation generally predicts the experimental measurements well, with most predictions within 10% of the experimental.
We derive the third-order modified equation for the UW scheme and regard the oscillatory solution as a traveling wave solution of the parabolic modified equation plus a small perturbation.
We apply modified equation analysis (MEA) to simplified forms of each method that neglects the errors in the conduction terms.
Conservative difference schemes, modified equation analysis and Fourier analysis, Lax-Wendroff process.
This modified equation reflects the speed suppression at the edges, i.e., w~0 or w~D.
Equation (5) is used and modified equation for the maximum flexural crack width, Eq. (26), is thus proposed.
Finally, we modified equation 1, introducing interaction terms between the migrant condition and all other covariates (matrix X i in equation 3).
Since the modified equation is difficult to solve analytically, we make use of the numerical scheme to solve this new equation.
The energy requirements were calculated using Long's modified equation according to the usual body weight.
A modified equation for calculating Nq is also proposed.
The modified equation can subsequently provide improved understanding and a more accurate predictive ability or value.
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