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It requires a predictive analytic solution in the form of a time series model.
Catanzaro, M. & Pastor-Satorras, R. Analytic solution of a static scale-free network model.
We impose the approximate analytic solution for the system.
The analytic solution is validated by the finite element analysis.
The dissipative one is cheaply solved by its analytic solution.
An analytic solution is obtained without performing integral transforms.
The dependence of the results on model parameters is made explicit through the derivation of an analytic solution.
The accuracy of the analytic solution was examined using a three-dimensional finite element analysis (FEA).
The analytic solution is given in the form of integrals by the method of Green's functions.
Approximate analytic solution of capillary tube is valuable for theoretical analysis and engineering calculation.
An analytic solution is obtained for the leading-order evaporation rate.
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