On Two Birkhoff-Type Interpolations with First- and Second-Order Derivative  

作　　者：Tinggang Zhao Yongjun Li Tinggang Zhao;Yongjun Li(School of Mathematics, Lanzhou City University, Lanzhou, China)

机构地区：[1]School of Mathematics, Lanzhou City University, Lanzhou, China

出　　处：《Journal of Applied Mathematics and Physics》2016年第7期1269-1274,共6页应用数学与应用物理（英文）

摘　　要：In this paper, we consider two interpolations of Birkhoff-type with integer-order derivative. The Birkhoff interpolation is related with collocation method for the corresponding initial or boundary value problems of differential equations. The solvability of the interpolation problems is proved. For Gauss-type interpolating points, error of interpolation approximation is deduced. Also, we give efficient algorithms to implement the concerned interpolations.In this paper, we consider two interpolations of Birkhoff-type with integer-order derivative. The Birkhoff interpolation is related with collocation method for the corresponding initial or boundary value problems of differential equations. The solvability of the interpolation problems is proved. For Gauss-type interpolating points, error of interpolation approximation is deduced. Also, we give efficient algorithms to implement the concerned interpolations.

关 键 词：Birkhoff Interpolation Collocation Method Gauss-Type Interpolating Point Error Estimation 

分 类 号：O17[理学—数学]