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边界奇异微分方程的区间样条小波求解 被引量:1

A Interval B-Spline Wavelet Method for Solution Singular Differential Equation
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摘要 本文基于提升格式的第 2代小波构造方法 ,建立了区间上的三次B样条小波 ,并用于求解有边界奇异性的微分方程 .由于区间小波的边界特性 ,该方法避免了由小波基引起的振荡 . In this paper,we adapt a construction method of the second generation wavelets based on lifting scheme to build a interval wavelet of cubic B-splines and solve singular differential equation.For boundary characteristic of interval wavelet,the oscillation due to wavelet base is avoided.Simulation result is provided to verify the proposed method.
出处 《应用数学》 CSCD 北大核心 2004年第2期310-314,共5页 Mathematica Applicata
基金 中国科学院声场声信息国家重点实验室开放基金资助
关键词 边界奇异性 微分方程 区间样条小波 边值问题 小波变换 Lifting scheme Interval wavelet Cubic B-splines Singularity
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