| 赵建斌,罗迪凡*,喻海元,尹伊.一类抛物方程正交小波基的构造[J].南华大学学报(自然科学版),2010,24(2):68~73.[ZHAO Jian-bin1,LUO Di-fan2*,YU Hai-yuan3,YIN Yi4.Construction of a Class of Orthogonal Wavelet Bases about Parabolic Equations[J].Journal of University of South China(Science and Technology),2010,24(2):68~73.] |
| 一类抛物方程正交小波基的构造 |
| Construction of a Class of Orthogonal Wavelet Bases about Parabolic Equations |
| 投稿时间：2010-05-07 |
| DOI： |
| 中文关键词: 抛物方程 正交小波基 小波系数 递推公式 |
| 英文关键词:parabolic differential equations orthogonal wavelet bases wavelet coefficients recurrence formula |
| 基金项目: |
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| 中文摘要: |
| 对抛物方程右端项关于时间变量先作小波展开,化为多个可以并行的椭圆方程求解,是国际上近些年来发展起来的一种新的数值求解方法.本文利用勒让德多项式构造出了一类适合的正交小波基,并给出了一般情况下的小波系数递推公式.数值例子验证了递推公式的有效性. |
| 英文摘要: |
| In recent years,some foreign scholars have develop a new method for the numerical solution of PPDEs.As the first step the method uses wavelet bases to decompose the forcing term,so the problem is transformed into some elliptic PDEs which can be solved by parallel algorithm.In this paper,we will construct a class of Orthogonal Wavelet Bases,and present the general recurrence formula of wavelet coefficients.The numerical test convinces our analysis. |
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