## 留言板

 引用本文: 谢腊兵, 江福汝. 多重尺度法的计算机计算——一类非线性方程组的狄立克雷问题[J]. 应用数学和力学, 2003, 24(11): 1118-1125.
XIE La-bing, JIANG Fu-ru. Computer Computation of the Method of Multiple Scales——Dirichlet Problem for a Class of System of Nonlinear Differential Equations[J]. Applied Mathematics and Mechanics, 2003, 24(11): 1118-1125.
 Citation: XIE La-bing, JIANG Fu-ru. Computer Computation of the Method of Multiple Scales——Dirichlet Problem for a Class of System of Nonlinear Differential Equations[J]. Applied Mathematics and Mechanics, 2003, 24(11): 1118-1125.

• 中图分类号: O302

## Computer Computation of the Method of Multiple Scales——Dirichlet Problem for a Class of System of Nonlinear Differential Equations

• 摘要: 应用多重尺度的边界层方法和计算机符号运算研究一类非线性方程组的边值问题解的渐近性质,构造出解的渐近展开式和估计了余项.并分析一个实例.为多重尺度方法的应用提供新的前景.
•  [1] 江福汝.关于边界层方法[J].应用数学和力学,1981,2(5):461-474. [2] JIANG Fu-ru.On singular perturbations of nonlinear boundary value problems for ordinary differential equations[J].Scientia Sinica,Ser A,1987,30(3):558-560. [3] JIANG Fu-ru.Asymptotic solution of boundary value problem for semilinear ordinary differential equations with turning points[J].Computational Fluid Dynamics Journal(Japan),2(4):471-484. [4] 江福汝.关于一类非线性微分方程组的边值问题的渐近解(Ⅰ)[J].应用数学和力学,2001,22(3):239-249. [5] Howes F A,Shao S.Asymptotic analysis of model problems for a coupld system[J].Nonlinear Anal,1989,13(9):1013-1024. [6] Dorr F W,Parter S V.Singular perturbation of nonlinear boundary value problems with turning points[J].J Math Anal Appl,1970,29:273-293.

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##### 出版历程
• 收稿日期:  2001-12-10
• 修回日期:  2003-06-09
• 刊出日期:  2003-11-15

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