| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4632596 | Applied Mathematics and Computation | 2009 | 7 Pages |
Abstract
The Haar wavelet based discretization method for solving differential equations is developed. Nonlinear Burgers equation is considered as a test problem. Both, strong and weak formulations based approaches are discussed. The discretization scheme proposed is based on the weak formulation. An attempt is made to combine the advantages of the FEM and Haar wavelets. The obtained numerical results have been validated against a closed form analytical solution as well as FEM results. Good agreement with the exact solution has been observed.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Jüri Majak, Meelis Pohlak, Martin Eerme, Toomas Lepikult,