Journal
COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 61, Issue 7, Pages 1873-1879Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2011.02.016
Keywords
2-D Haar wavelets; Partial differential equations; Boundary conditions; Diffusion equation; Poisson equation
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Funding
- Estonian Science Foundation [ETF 8830]
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Two-dimensional Haar wavelets are applied for solution of the partial differential equations (PDEs). The proposed method is mathematically simple and fast. To demonstrate the efficiency of the method, two test problems (solution of the diffusion and Poisson equations) are discussed. Computer simulation showed that the method guarantees the necessary exactness already for a small number of grid points. (C) 2011 Elsevier Ltd. All rights reserved.
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