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A time-accurate pseudo-wavelet scheme for parabolic and hyperbolic PDE's

✍ Scribed by B.V. Rathish Kumar; Mani Mehra

Book ID
103845564
Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
693 KB
Volume
63
Category
Article
ISSN
0362-546X

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✦ Synopsis

In this paper, we propose wavelet Taylor-Galerkin schemes for parabolic and hyperbolic PDEs taking full advantage of the compression properties of wavelet basis. The discretization in time is performed before the spatial discretization by introducing high-order generalization of the standard time-stepping schemes with the help of Taylor series expansion in time step. Then, we present numerical results for a convection problem in one dimension and Gaussian translating hill problem in two dimensions. Finally, results for the two-dimensional turbulence are shown.

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