摘要
使用广义函数δ-序列方法数值求解两点边值问题.这种δ-序列以Daubechies小波为基础,具有紧支、对称、拟插值的性质.以对流占优方程为例,空间导数采用Daubechies小波δ-序列作数值格式离散,验证了该方法的有效性.使用Daubechies小波δ-序列数值方法求解两点边值问题,方法简单,能方便地处理各类边值问题,计算精度高.数值算例表明,Daubechies小波δ-序列数值方法不仅能够较好地求解具有边界层的两点边值问题,而且可以非常方便地求解具有较高阶导数的梁、板等力学问题.
Two-point boundary value problem numerically is solved by using δ-sequence, which is based on Daubechies wavelets with the properties of compact support, symmetry and quasi-interpolation. Taking convetion-dominated equation as an example, the spatial derivatives is discreted as a numerical formal by δ-sequence on Daubechies wavelets, thus the computational accuracy is tested. To solve two-point boundary problem using δ-sequence is characterized by simplicity and accuracy. The computational examples showed that this numerical method could not only solve two-point boundary value problem, but also do grider and plate problems with higher derivatives easily.
出处
《华中科技大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2006年第5期40-42,共3页
Journal of Huazhong University of Science and Technology(Natural Science Edition)
基金
华中科技大学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
