三步边值方法的数值稳定性  

Numerical stability of three-step boundary value methods

作　　者：张如[1] 鲁莉 刘小刚[3] ZHANG Ru;LU Li;LIU Xiaogang(School of Information Engineering,Northwestern Polytechnical University Mingde College,Xi’an 710124,China;Department of Mathematics,Harbin Institute of Technology,Harbin 150001,China;Department of Mathematics,Modern College of Northwest University,Xi’an 710130,China)

机构地区：[1]西北工业大学明德学院信息工程学院,西安710124 [2]哈尔滨工业大学数学系,哈尔滨150001 [3]西北大学现代学院数学系,西安710130

出　　处：《黑龙江大学自然科学学报》2020年第1期32-38,共7页Journal of Natural Science of Heilongjiang University

基　　金：陕西省教育厅专项科学研究计划资助项目(18JK1166)。

摘　　要：考虑三步边值方法的数值稳定性。基于阶条件,给出了数值方法的差分格式,并分析了三步边值方法的BV-稳定性。最后,通过数值算例验证了算法的有效性。The numerical stability of three-step boundary value methods is considered.On the basis of order conditions,the difference scheme is given for the numerical methods.Moreover,the BV-stability is analyzed for three-step boundary value methods.Finally,the effectiveness of algorithms is demonstrated by a numerical example.

关 键 词：边值方法 阶条件 稳定性 

分 类 号：O241.87[理学—计算数学]