Time accurate fast wavelet-Taylor Galerkin method for partial differential equations
β Scribed by B. V. Rathish Kumar; Mani Mehra
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 349 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0749-159X
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π SIMILAR VOLUMES
We describe a wavelet collocation method for the numerical solution of partial differential equations which is based on the use of the autocorrelation functions of Daubechie's compactly supported wavelets. For such a method we discuss the application of wavelet based preconditioning techniques along
An adaptive numerical method for solving partial differential equations is developed. The method is based on the whole new class of second-generation wavelets. Wavelet decomposition is used for grid adaptation and interpolation, while a new O(N ) hierarchical finite difference scheme, which takes ad
## Abstract The finite element method has been well established for numerically solving parabolic partial differential equations (PDEs). Also it is well known that a too large time step should not be chosen in order to obtain a stable and accurate numerical solution. In this article, accuracy analy
## Abstract A Chebyshev expansion method for the parabolic and Burgers equations is developed. The spatial derivatives are approximated by the Chebyshev polynomials and the time derivative is treated by a finiteβdifference scheme. The accuracy of the resultant is modified by using suitable extrapol