Wavelet multilayer Taylor Galerkin schemes for hyperbolic and parabolic problems

نویسندگان

  • B. V. Rathish Kumar
  • Mani Mehra
چکیده

In this study wavelet based high-order Taylor Galerkin methods is introduced. Additional time layers are used to obtain high-order temporal accuracy unattainable within a two-step strategy. Two explicit model schemes are constructed and asymptotic stability of schemes are verified. The compactly supported orthogonal wavelet bases developed by Daubechies are used in Galerkin scheme. The behavior of the proposed schemes is illustrated through one and two dimensional problems. 2004 Elsevier Inc. All rights reserved.

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عنوان ژورنال:
  • Applied Mathematics and Computation

دوره 166  شماره 

صفحات  -

تاریخ انتشار 2005