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An approximate analytical solution based on slightly modified two-flux approximation for radiative transfer in a semi-transparent fibrous spacer is derived.
Approximate analytical solution is derived.
In this section, we construct an approximate analytical solution to simulate the infiltrate process.
Our goal is deriving an approximate analytical solution of equations (1 - 3).
An approximate analytical solution of the eigenvalue problem is obtained using the Galerkin method.
The approximate analytical solution is obtained by applying the method of multiple scales.
(3.1) This ansatz will be used to obtain an approximate analytical solution of the system (2.1).
We derive an approximate analytical solution of the Richards equation (RE) for the horizontal infiltration problem.
This approximate analytical solution is obtained by using improved equivalent linearization method according to dual criterion.
A simpler approximate analytical solution is also obtained for soft aquitards with low permeabilities.
An approximate analytical solution is obtained for the title problem by using a Navier-type solution.
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