Haar wavelets are applied for solution of three
dimensional partial differential equations (PDEs) or time depending two dimensional
PDEs. The proposed method is mathematically simple and fast. Two techniques are used in numerical solution, the first based on
2D-Haar wavelets and the second based on 3D-Haar wavelets and we compare them.
To demonstrate the efficiency of the method, two test problems (solution of the
diffusion and Poisson equations) are discussed. Computer simulation showed that
3D-Haar wavelets are better
and closer to the exact solution but it is need to more time from 2D-Haar
wavelets.
Cite this paper
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