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In this paper we discuss ways of parallelizing methods of perturbation analysis.
The coupled conservation-equations are examined by the methods of perturbation theory for low and high Bodenstein numbers.
This fact offers many difficulties in applying the usual methods of perturbation theory and Laplace transform technique and thus makes the study interesting.
For the analysis of a weakly nonlinear Schrödinger equation, we develop the ideas of the Lyapunov-Schmidt method and efficient methods of perturbation theory, namely the Vishik-Lyusternik method [11].
During that time, sophisticated methods of perturbation analysis were invented to calculate the deviations of orbits due to the influence of multiple bodies on a planet, moon, comet, or asteroid.
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For weak thermomechanical coupling an asymptotic solution can be obtained by using the method of perturbation with multiple scales.
These gaps were here studied by the method of perturbation coupled with wavemode orthogonality and forced response.
This gap was addressed here by the method of perturbation coupled with wavemode orthogonality and forced response.
Taking into the account small size of holes the method of perturbation of the shape of the boundary and the Schwarz alternating method are used.
The asymptotic homogenization method is applied and the relevant unit cell problem is solved with the aid of the method of perturbation of boundary shape.
The method of perturbation of the shape of the boundary and the Schwarz alternating method are applied taking into account small size of holes.
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