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Cavity depth effects, one of the key factors which can influence the smoke flow in DSF would be studied by numerical method in this paper.
For example, only process parameters (flow resistance, heat condition of sintering bed and off-gas composition) can be obtained by numerical method in the previous studies.
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The inverse problem has been analyzed by zeros of the eigenfunctions in [6], by numerical methods in [9] and by two spectra, consisting of sequences of eigenvalues and the normed constants in [10].
The simple, but highly accurate solution was validated by the exact solution for the linear problem, and also by numerical method and differential transformation method in the case of the non-linear problem.
We note that the single-integral expression of (21) and (44) and the double-integral expression of (33) are not presented in the closed forms but are easily solved by the numerical method in Matlab.
This disturbance is estimated by numerical method.
The integral is computed by numerical methods (Genz 1992) implemented in the R package mvtnorm.
It is generally impossible to obtain the analytic optimal guidance law for complex nonlinear guidance systems of homing missiles, and the open loop optimal guidance law is often obtained by numerical methods, which can not be used directly in practice.
The usual procedure is to reduce the partial differential equations of motion of the continuous system to an approximate system of time-dependent ordinary differential equations of motion, which are in turn solved by numerical methods or, approximately, by perturbation procedures.
That is well-posed and, at least in principle, approximately solvable by numerical methods.
Some numerical results presented are compared with those obtained by other numerical methods in the literature.
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