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The spreading thermal resistance among coils, iron cores, and the supporter is obtained based on the equivalent thermal circuit method and solved by the variable separation method, which can generate the transient temperature field for the PMSP motors modeling.
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For the SSP problems by regularization or penalty, we propose a more efficient variable-separation (VS) method, i.e., the variable-separation by penalty method.
The displacement and stress fields are expressed in the form of infinite series by the method of variable separation.
An analytical solution for the concentration profile in the duct is obtained by using variable separation method.
By means of the multilinear variable separation approach, a general variable separation solution of the BLMP equation was derived in [32].
Based on the duality theorem and by applying a variable separation technique, the pair of two-level mathematical programs is transformed into a pair of ordinary one-level geometric programs.
Therefore, the ODE by using the method of variable separation and partitioned method can be expressed for each segment.
The present work studies the resonant fracture of a multiferroic cylindrical structure by the combined methods of variable separation, infinite series, singular integral equation and Lobatto Chebyshev collocation.
By using the parabolic equation method, and variable separation in elliptical coordinates, we derive the two terms asymptotic approximation of the solution.
We re-study the breaking soliton model and obtain eleven kinds of variable separation solution by means of the improved tanh-function method with three different ansätz, that is, positive-power ansatz, radical sign combined ansatz, and positive and negative power-symmetric ansatz.
The volume occupied by the liquid is delimited by two coaxial rigid cylinders and the liquid deformation potential is obtained by using variables separation.
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