一个改进的奇异摄动边值问题解的六次样条方法(英文)  

An Improved Sextic Spline Method for Solving Singularly Perturbed Boundary Value Problems

作　　者：曹怀火[1] 姚云飞[2] 

机构地区：[1]池州学院数学与计算机科学系,安徽池州247000 [2]阜阳师范学院数学与计算科学学院,安徽阜阳236041

出　　处：《应用数学》2012年第4期839-846,共8页Mathematica Applicata

基　　金：Supported by the Professions for the National Characteristics (TS11496)

摘　　要：基于六次样条插值,文章针对奇异摄动边值问题给出一个改进的六次样条方法.该方法的精度在所有内部结点达到八阶,在边界点达到五阶,通过一致收敛性分析和数值试验表明所给方法是有效的.In this paper, based on sextic spline interpolations, a improved sextic spline method is proposed to solve the singularly-perturbed boundary-value problems. The accuracy of the proposed method can reach the eighth order at all the interior nodal points and fifth order at the end points. The uniform convergence of the method is analyzed and several numerical examples are tested to il- lustrate the efficiency of the proposed method.

关 键 词：奇异摄动边值问题 六次样条 差分格式 一致收敛性 

分 类 号：O241.81[理学—计算数学]