MULTIWAVELET ANALYSIS OF THE SOLUTION FOR PHYSICAL EQUATIONS

作者：Sekino Hideo^*; Takahiro I I; Kato Tetsuya; Hamada Shinji; Okamoto Takumi

来源：International Journal of Wavelets, Multiresolution and Information Processing, 2010, 8(4): 559-573.

DOI：10.1142/S021969131000364X

• Multiresolution
• multiwavelet
• convection
• diffusion equations

The solutions of convection and diffusion equations are analyzed using Multiresolution Multiwavelet (MRMW) basis functions of multidimension including time. The distribution representing the solution reconstructed in non-standard form of the higher order MRMW reproduces the original solution in the multidimensional space much more efficiently than the lower order one. Smooth movement of the distribution is observed except for the initial area even using the MRMW of zeroth order but the shape of the distribution is not well reproduced for the case. The initial area is better reproduced by the MRMW of higher order and the wavelet component decays much quicker both in low and high levels of resolution.

• 出版日期2010-7