非线性奇异边值问题的高效数值算法  

HIGH EFFICIENT NUMERICAL ALGORITHM OF NONLINEAR SINGULAR BOUNDARY VALUE PROBLEMS

作　　者：孙平平 牛晶[1] 吴琦 李萍[1] Sun Pingping;Niu Jing;Wu Qi;Li Ping(School of mathematics science,Harbin Normal University,Harbin 150025;Fundamental Course Teaching and Researching Section,Heilongjiang College of Business and Technology,Harbin 150025)

机构地区：[1]哈尔滨师范大学数学科学学院,哈尔滨150025 [2]黑龙江工商学院基础课教研室,哈尔滨150025

出　　处：《高等学校计算数学学报》2019年第4期302-315,共14页Numerical Mathematics A Journal of Chinese Universities

基　　金：哈尔滨师范大学硕士研究生创新科研项目(HSDSSCX2019-33);黑龙江省高等教育教学改革一般研究项目(SJGY20190364).

摘　　要：In this work,an efficient method based on the simplified reproducing kernel m ethod and least squares method is proposed for solving nonlinear singular boundary value problem s.Furtherm ore,the approxim ate solution of the nonlinear singular boundary value problem is given,the error estim ation of the proposed algorithm is also given.Finally,the numerical examples are compared with the traditional regenerative nuclear method and the variational iteration algorithm,which shows the effectiveness and high efficiency of the algorithm.

关 键 词：Nonlinear singular boundary value problem.Simplified reproducing kernel method Least squares method Error estimation 

分 类 号：O241.8[理学—计算数学]