Numerical Method for a Nonlinear Singularly Perturbed Interior Layer Problem

机译：非线性奇摄动内层问题的数值方法

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摘要

Nonlinear singularly perturbed interior layer problems are examined. Numerical results are presented for a numerical method consisting of a monotone scheme on a Shishkin mesh refined around the approximate location of the interior layer.

机译：研究了非线性奇摄动内层问题。给出了数值方法的数值结果，该方法由在内层近似位置周围细化的Shishkin网格上的单调方案组成。

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来源
《BAIL 2010 - Boundary and interior layers, computational and asymptotic methods》|2010年|p.187-195|共9页
会议地点 Zaragoza(ES);Zaragoza(ES)
作者
E. ORiordan; J. Quinn;
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作者单位

School of Mathematical Sciences, Dublin City University, Dublin, Ireland;

School of Mathematical Sciences, Dublin City University, Dublin, Ireland;

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原文格式 PDF
正文语种 eng
中图分类工程数学;
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3. Parameter-uniform convergence of a numerical method for a coupled system of singularly perturbed semilinear reaction-diffusion equations with boundary and interior layers [J] . Rao S. Chandra Sekhara, Chawla Sheetal Journal of Computational and Applied Mathematics . 2019,第期

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4. Numerical Method for a Nonlinear Singularly Perturbed Interior Layer Problem [C] . E. ORiordan, J. Quinn Conference on boundary and interior layers, computational and asymptotic methods . 2011

机译：非线性奇异扰动内部层问题的数值方法
5. Numerical methods for singularly perturbed boundary value problems and singularly perturbed equations. [D] . Savin, Igor. 2010

机译：奇摄动边值问题和奇摄动方程的数值方法。
6. A class of derivative-free trust-region methods with interior backtracking technique for nonlinear optimization problems subject to linear inequality constraints [O] . Jing Gao, Jian Cao -1

机译：具有线性不等式约束的非线性优化问题的一类带内部回溯的无导数信赖域方法
7. Examination of the Performance of Robust Numerical Methods for Singularly Perturbed Quasilinear Problems with Interior Layers [O] . P. A. Farrell 2014

机译：具有内层奇摄动拟线性问题的鲁棒数值方法的性能检验
8. Analytical and Numerical Methods for Nonlinear Singular Singularly-Perturbed Initial Value Problems. [R] . O'Malley, R. E., Flaherty, J. E. 1978

机译：非线性奇异奇摄动初值问题的解析和数值方法。

Numerical Method for a Nonlinear Singularly Perturbed Interior Layer Problem

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