COMPLETELY EXPONENTIALLY FINITE DIFFERENCE METHODS FOR PROBLEMS OF TURNING POINT  

COMPLETELY EXPONENTIALLY FINITE DIFFERENCE METHODS FOR PROBLEMS OF TURNING POINT

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作  者:陈明 王国英 

机构地区:[1]Chongqing Jiaotong Institute, Chongqing [2]Nanjing University, Nanjing

出  处:《Applied Mathematics and Mechanics(English Edition)》1990年第1期69-78,共10页应用数学和力学(英文版)

摘  要:In this paper we construct a completely exponentially fitted finite difference scheme for the boundary value problem of differential equation with turning points, extending Miller's method[1] and simplifying the method of the proof. We prove the first order uniform convergence of the scheme. The numerical results show that it is better than 11' in's[2] scheme.In this paper we construct a completely exponentially fitted finite difference scheme for the boundary value problem of differential equation with turning points, extending Miller's method[1] and simplifying the method of the proof. We prove the first order uniform convergence of the scheme. The numerical results show that it is better than 11' in's[2] scheme.

关 键 词:Mathematical Models 

分 类 号:O3,O1[理学—力学]

 

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