%0 Journal Article
%T Solving Three Dimensional and Time Depending PDEs by Haar Wavelets Method
%A Abdeljalil Nachaoui
%A Ekhlass S. Al-Rawi
%A Ahmed F. Qasim
%J Open Access Library Journal
%V 5
%N 5
%P 1-18
%@ 2333-9721
%D 2018
%I Open Access Library
%R 10.4236/oalib.1104496
%X <div style="text-align:justify;">
	<span style="line-height:1.5;">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 technique</span><span style="line-height:1.5;">s 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.</span>
</div>
%K Haar Wavelets
%K Partial Differential Equations
%K Diffusion Equation
%K Poisson Equation
%U http://www.oalib.com/paper/5293354