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Weak formulation based Haar wavelet method for solving differential equations
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DOI：10.1016/j.amc.2009.01.089.png)
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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. (c) 2009 Elsevier Inc. All rights reserved.
Keyword:
Haar wavelet
Weak formulation based solution
Shock wave
期刊
IF:
3.4
论文数:
2.3W
被引数:
3.3W
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