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A good prediction existed between the RSM results and integrated equation was found.
In the current paper we solve the position integrated equation numerically and analytically.
In discretization of an integrated equation into an algebraic equation, the nodal point Pis is shown in Fig. 6.
2. Discretization of an integrated equation into an algebraic equation/form which will be converted into a solution algorithm.
Discretization of an integrated equation into an algebraic equation/form which will be converted into a solution algorithm.
For a second-order reaction, the integrated equation becomes: 1 C t = 1 C O + k 2 t Open image in new window (20).
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The generated power density in the graphite susceptor is obtained by solving the magnetic vector potential equations, and radiative heat transfer is calculated from the integrated equations for radiation.
We integrated equations (1)–(10) using ode45, a MATLAB® (The MathWorks, Natick, MA) variable time step numerical ODE solver, which implements a medium order Runge-Kutta scheme.
To verify the model, we then numerically integrated Equations (1 3) in order to calculate the steady state of a central actin ring, using the parameters deduced above.
The corresponding integrated equations for the pseudofirst-order (n = 1) and pseudosecond-order (n = 2) models are (3) q t = q e (1 − e − k 1 t ), q t = k 2 q e 2 t 1 + k 2 q e t.
The complementary mild-slope equation (CMSE) is a depth-integrated equation, which models refraction and diffraction of linear time-harmonic water waves.
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