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Finally, the fundamental solution is calculated by the inverse Fourier transformation to the obtained Fourier transform.
Theoretical results are obtained by applying the method of the Laplace transform to the governing equations, and the solution is calculated by the method of numerical inversion.
Hyperbolic flow equations govern the flow evolution and, while the inner domain 1D solution is calculated by means of an HLL scheme for the fluxes and a 1st order time stepping, the outer domain 3D solution is achieved on the basis of a MUSCL scheme coupled with a 3rd order Runge Kutta time stepping.
new solution is calculated by flying randomly, 5.
end{aligned}The third order approximation to the solution is calculated by solving these differential equations for (y_{1}(x)), (y_{2}(x)) and (y_{3}(x)).
The regularized solution is calculated by formula (40) and Theorem 5 with parameter β = ϵ 1 2. Computational results are shown in Tables 3 and 4 (the relative error) and in Figure 3 (section cut graphs).
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The caspase 3 activity in each sample solution was calculated by standard curve method.
Absorbance spectra were measured using a spectrophotometer and the concentration of the test solution was calculated by using the Beer-Lambert Law.
Moreover, the effect of pH on saturation indexes with respect to hydroxyapatite, octacalcium phosphate and dicalcium dihydrogen phosphate of this dilute solution were calculated by a computer program PHREEQC.
The degradation percentages of MO solution were calculated by the formula (C0 − C /C0.
The uptake of metal ion in the solution was calculated by the difference in their initial and final concentrations.
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