Title
Wavelet-Based Adaptive Collocation Method For The Resolution Of Nonlinear Pdes
Abstract
Theoretical modeling of dynamic processes in chemical engineering often implies the numeric solution of one or more partial differential equations. The complexity of such problems is increased when the solutions exhibit sharp moving fronts. An efficient adaptive multiresolution numerical method is described for solving systems of partial differential equations. This method is based on multiresolution analysis and interpolating wavelets, that dynamically adapts the collocation grid so that higher resolution is automatically attributed to domain regions where sharp features are present. Space derivatives were computed in an irregular grid by cubic splines method. The effectiveness of the method is demonstrated with some relevant examples in a chemical engineering context.
Year
DOI
Venue
2007
10.1142/S0219691307002154
INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING
Keywords
DocType
Volume
wavelet, PDEs, adaptive grid, collocation method
Journal
5
Issue
ISSN
Citations 
6
0219-6913
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
A. KARAMI140.94
H. R. Karimi23569223.59
B. Moshiri3577.85
P. Jabedar Maralani461.37