| 摘 要： | Applying the usual technique of
linearization to wave equations with strong singularity often produces artifacts, for
those terms with strong singularities are omittedfor they are small in magnitude. Using
the method of wavelets transform, the main terms in singularities are retained in
simplification. So the result is more accurate in a point view of singularity analysis. We
have applied the mathod to one-dimensional wave equations in inhomogeneous media, and got
the same main terms in singularities as the accurate ones. In this paper, one-dimensional
wave equations with dissipations in inhomogeneous media are considered. The method of
wavelets analysis is improved,and the same main terms in singularities as the accurate
solutions are obtained as well.So we conclude that applying wavelets analysis to
singularity simplification is always effective, especially to high-frequency approximation
and singularity analysis.
|
