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Analytical Methods for an Elliptic Singular Perturbation Problem in a Circle; Analysis rept

机译：圆中椭圆奇异摄动问题的解析方法;分析报告

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We consider an elliptic perturbation problem in a circle by using the analytical solution that is given by a Fourier series with coefficients in terms of modified Bessel functions. By using saddle point methods we construct asymptotic approximations with respect to a small parameter. In particular we consider approximations that hold uniformly in the boundary layer, which is located along a certain part of the boundary of the domain.

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作者
Temme, N. M.;
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年度 2006
页码 p.1-34
总页数 34
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Perturbations; Analytical methods; Elliptic equations; Differential equations; Integrals; Fourier series; Series solutions;

机译：扰动;分析方法;椭圆方程;微分方程;积分;傅里叶级数;级数解;

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专利

1. Analytical methods for an elliptic singular perturbation problem in a circle [J] . Temme NM Journal of Computational and Applied Mathematics . 2007,第2期

机译：圆上的椭圆奇异摄动问题的解析方法
2. Singular perturbation analysis of time dependent convection-diffusion equations in a circle [J] . Hong Youngjoon, Jung Chang-Yeol, Temam Roger Nonlinear Analysis: An International Multidisciplinary Journal . 2015,第Null期

机译：一圈时间相关对流扩散方程的奇摄动分析
3. Singular perturbation analysis of drift-diffusion past a circle: Shadow region [J] . Lynch S., Knessl C. IMA Journal of Applied Mathematics . 2012,第2期

机译：绕圆漂移扩散的奇异摄动分析：阴影区域
4. Analytic Theory of Singular Perturbations and Lomov's Regularization Method [C] . Vasiliy I. Kachalov International Conference on Finite Difference Methods . 2019

机译：分析奇异扰动与Lomov的正则化方法
5. Analysis of some singular perturbation problems and analysis of the Finite Volume method. [D] . Gie, Gung-Min. 2010

机译：一些奇异摄动问题的分析和有限体积法的分析。
6. An approximate analytical solution of the Allen-Cahn equation using homotopy perturbation method and homotopy analysis method [O] . Safdar Hussain, Abdullah Shah, Sana Ayub, 2019

机译：同伦摄动法和同伦分析法对Allen-Cahn方程的近似解析解
7. Analytical methods for an elliptic singular perturbation problem in a circle [O] . Temme N.M. 2007

机译：圆上的椭圆奇异摄动问题的解析方法
8. Analytical Methods for a Selection of Elliptic Singular Perturbation Problems.211 Modelling, Analysis and Simulation [R] . Temme, N. M. 1997

机译：选择椭圆奇异摄动问题的分析方法.211建模，分析和模拟

Analytical Methods for an Elliptic Singular Perturbation Problem in a Circle; Analysis rept

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