Sentence examples for multiple scale perturbation from inspiring English sources

The theoretical results are obtained to second order approximations applying the multiple scale perturbation technique (MSPT).

Stability diagrams of the first and the second order approximate solutions are obtained by using the multiple scale perturbation method.

Complementary solution methods are employed, namely, finite-difference and Galerkin spatial discretization, followed by numerical time-integration, or Galerkin spatial discretization in conjunction with Multiple Scale perturbation analysis.

The multiple scale perturbation method is employed to obtain a set of three amplitude modulation equations, whose coefficients depend on the mean wind speed, which is assumed as control parameter.

The single component two-dimensional long wave short wave resonance interaction (LSRI) equation for a two-layer fluid model has been derived in [28] using the multiple scale perturbation method and bright and dark type one and two-soliton solutions have been reported.

The peak amplitude is obtained by employing Multiple Scales perturbation method.

The nonlinear behaviour of the cracked plate model is thus investigated from the amplitude frequency equation by use of the multiple scales perturbation method.

The problem of determining the acoustic field in an inviscid, isentropic fluid generated by a solid body the surface of which executes prescribed vibrations is formulated and solved as a multiple scales perturbation problem, using the Mach number,M, based on the maximum surface velocity as the perturbation parameter.

We have employed the standard multiple-scale perturbation technique to derive the NLS equation.

The classical ((2+1)) dimensional nonlinear Schrödinger (NLS) equation can be derived by using the multiple-scale, perturbation method.

This paper describes a novel design approach of the free piston Stirling engines (FPSEs) based on multiple-scale perturbation method.