NUMERICAL SOLUTION OF QUASILINEAR SINGULARLY PERTURBED ORDINARY DIFFERENTIAL EQUATION WITHOUT TURNING POINTS

NUMERICAL SOLUTION OF QUASIL1NEAR SINGULARLY PERTURBED ORDINARY DIFFERENTIAL EQUATION WITHOUT TURNING POINTS

下载PDF

导出

摘要 In this paper we consider a quasilinear second order ordinary diferential equation with a small parameter Firstly an approximate problem is constructed. Then an iterative procedure is developed. Finally we give an algorithm whose accuracy is good for arbitrary e>0 . In this paper we consider a quasilinear second order ordinary diferential equation with a small parameter Firstly an approximate problem is constructed. Then an iterative procedure is developed. Finally we give an algorithm whose accuracy is good for arbitrary e>0 .

作者林平苏煜城

机构地区 Nanjing University

出处《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1989年第11期1005-1010,共6页 应用数学和力学（英文版）

关键词 NUMERICAL SOLUTION OF QUASILINEAR SINGULARLY PERTURBED ORDINARY DIFFERENTIAL EQUATION WITHOUT TURNING POINTS

分类号 O3，O1 [理学—力学]

引文网络
相关文献

参考文献2

1M. K. Kadalbajoo,Y. N. Reddy. Initial-value technique for a class of nonlinear singular perturbation problems[J] 1987,Journal of Optimization Theory and Applications(3):395～406
2Koichi Niijima. On a difference scheme of exponential type for a nonlinear singular perturbation problem[J] 1985,Numerische Mathematik(4):521～539

1莫嘉琪.BOUNDARY VALUE PROBLEMS TO A CLASS OF SINGULARLY PERTURBED NONLINEAR SYSTEM WITH TURNING POINTS[J].Annals of Differential Equations,1999,15(3):314-318.
2R.S. Ye,Z.H. Yang(Department of Mathematics, Shanghai University of Science and Technology, Shanghai,China).DOUBLE S-BREAKING CUBIC TURNING POINTS AND THEIR COMPUTATION[J].Journal of Computational Mathematics,1996,14(1):8-22.
3张居铃,朱文莉.A COMPLETE EXPRESSION OF THE ASYMPTOTIC SOLUTION OF DIFFERENTIAL EQUATION WITH THREE_TURNING POINTS[J].Applied Mathematics and Mechanics(English Edition),1999,20(12):1394-1404.
4江福汝.ON THE BOUNDARY VALUE PROBLEMS FOR ORDINARY DIFFERENTIAL EQUATIONS WITH TURNING POINTS[J].Applied Mathematics and Mechanics(English Edition),1991,12(2):121-129.
5Huang Li (Hangzhou Dianzi University, Hangzhou 310018) Xianglin Han , Cheng Ouyang (Huzhou Teachers College, Huzhou 313000, Zhejiang).A CLASS OF SINGULARLY PERTURBED EQUATIONS FOR LARGE PARAMETER WITH THREE TURNING POINTS[J].Annals of Differential Equations,2012,28(2):180-185.
6蔡建平.SINGULAR PERTURBATION OF THIRD ORDER NONLINEAR BOUNDARY VALUE PROBLEM WITH TWO TURNING POINTS[J].Annals of Differential Equations,1997,13(1):77-84. 被引量：1
7张居铃.EXTENDED AIRY FUNCTION AND DIFFERENTIAL EQUATIONS WITH N-TURNING POINTS[J].Applied Mathematics and Mechanics(English Edition),1991,12(9):907-926.
8刘玉芳,孙金锋,马恒,朱遵略.Ab initio calculations on the spectroscopic constants, vibrational levels and classical turning points for the 2^1Пu state of dimer ^7Li2[J].Chinese Physics B,2007,16(3):680-685.
9陈明,王国英.COMPLETELY EXPONENTIALLY FINITE DIFFERENCE METHODS FOR PROBLEMS OF TURNING POINT[J].Applied Mathematics and Mechanics(English Edition),1990,11(1):69-78.
10叶瑞松.A NEW APPROACH FOR THE COMPUTATION OF DOUBLE SYMMETRY-BREAKING TURNING POINTS[J].Numerical Mathematics A Journal of Chinese Universities(English Series),1998,7(1):38-44.

Applied Mathematics and Mechanics(English Edition)

1989年第11期

浏览历史

内容加载中请稍等...

NUMERICAL SOLUTION OF QUASILINEAR SINGULARLY PERTURBED ORDINARY DIFFERENTIAL EQUATION WITHOUT TURNING POINTS

参考文献2

相关作者

相关机构

相关主题

浏览历史