基于7次样条函数的微分求积法研究  

The differential quadrature method based on seven times spline function

作　　者：张瑞平[1] 李成澄 

机构地区：[1]西安理工大学理学院,陕西西安710054

出　　处：《陕西科技大学学报（自然科学版）》2015年第3期177-180,共4页Journal of Shaanxi University of Science & Technology

基　　金：陕西省教育厅专项科研计划项目(12JK0534)

摘　　要：针对传统微分求积法的局限性,提出了一种新的微分求积法.该方法采用7次B样条函数构造了区间上的插值基函数,并结合微分求积法的基本思想,形成了基于7次样条的微分求积法.该方法不仅保留了传统微分求积法计算复杂度小、精度高等优点,还具有数值稳定性好,节点可以取很多的优点.数值算例表明了该方法的有效性.Considering the limitation of the traditional differential quadrature method,a novel different-tial quadrature method is put forward. The interpolation basis function on interval are build by suing seven times B spline function. Cmbined with the basic idea of DQ method, the differential quadrature method based on seven times spline function is put forward. This method not only retains the traditional differential quadrature method which can achieve very high precision, but also has good numerical stability,and the node can take many advantages. Numerical examples show the effectiveness of the proposed method.

关 键 词：7次B样条函数 插值基函数 微分求积法 对流占优方程 

分 类 号：O24[理学—计算数学]