Wavelet based schemes for linear advection–dispersion equation

In this paper, two wavelet based adaptive solvers are developed for linear advection–dispersion equation. The localization properties and multilevel structure of the wavelets in the physical space are used for adaptive computational methods for solution of equation which exhibit both smooth and shoc...

Full description

Saved in:
Bibliographic Details
Published in:Applied mathematics and computation 2011-12, Vol.218 (7), p.3786-3798
Main Authors: Sandeep, K., Gaur, Shikha, Dutta, D., Kushwaha, H.S.
Format: Article
Language:English
Subjects:
Adaptive solution
Advection–dispersion
Computation
Linear B-spline wavelets
Localization
Mathematical analysis
Mathematical models
Multilevel
Multiscale decomposition
Oscillations
Solvers
Wavelet
Wavelet-Galerkin
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, two wavelet based adaptive solvers are developed for linear advection–dispersion equation. The localization properties and multilevel structure of the wavelets in the physical space are used for adaptive computational methods for solution of equation which exhibit both smooth and shock-like behaviour. The first framework is based on wavelet-Galerkin and the second is based on multiscale decomposition of finite element method. Coiflet wavelet filter is incorporated in both the methods. The main advantage of both the adaptive methods is the elimination of spurious oscillations at very high Peclet number.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2011.09.023