Multilevel Iteration Fast Algorithm for the Parabolic Equations[J]. Acta Scientiarum Naturalium Universitatis SunYatseni, 2007,46(1):11-15.DOI:
抛物型方程的多层迭代快速算法
摘要
基于多尺度分析
提出了抛物型方程的多层迭代快速算法。选取空间H10(0
1)中的多尺度正交小波基函数来离散方程。构造了抛物型方程的一种高低频分裂迭代格式。并给出了数值算例
数值算例表明了算法的有效性。
Abstract
A multievel iteration fast algorithm is presented for solving parabolic equations.The multiscale orthogonal wavelet bases in H10(0
1) spaces are choosen and used to dsicretize the parabolic equations.A multilevel iteration scheme is constructed.The numerical example indicates the effectiveness of the algorithm.