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Daubechies小波的δ-序列数值求解PDE
Delta-sequence approach to solving PDE based on Daubechies wavelets
【摘要】 提出了一种用广义函数δ 序列数值求解偏微分方程的方法 .这种δ 序列以Daubechies小波为基础 ,具有紧支、对称、拟插值的性质 ,在数值求解偏微分方程中具有计算量小 ,精度高的特点 .以非线性抛物型方程为例 ,验证了这种算法的有效性
【Abstract】 A method of solving PDE numerically was studied by using delta sequence. This delta-sequence based on Daubechies wavelet scale function showed the properties of compact support, symmetry and quasi-interpolation. The computational accuracy was tested by linear and non-linear parabolic equations.
【关键词】 Daubechies小波;
δ-序列;
非线性抛物型方程;
【Key words】 Daubechies wavelet; delta-sequence; non-linear parabolic equation;
【Key words】 Daubechies wavelet; delta-sequence; non-linear parabolic equation;
【基金】 塑性成形模拟及模具技术国家重点实验室开放基金资助项目
- 【文献出处】 华中科技大学学报(自然科学版) ,Journal of Huazhong University of Science and Technology , 编辑部邮箱 ,2004年10期
- 【分类号】O241
- 【被引频次】4
- 【下载频次】135