期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

Approximation of Derivative for a Singularly Perturbed Second-Order ODE of Robin Type with Discontinuous Convection Coefficient and Source Term

Approximation of Derivative for a Singularly Perturbed Second-Order ODE of Robin Type with Discontinuous Convection Coefficient and Source Term
在线阅读 下载PDF
导出
摘要 In this paper, a singularly perturbed Robin type boundary value problem for second-order ordinary differential equation with discontinuous convection coefficient and source term is considered. A robust-layer-resolving numerical method is proposed. An e-uniform global error estimate for the numerical solution and also to the numerical derivative are established. Numerical results are presented, which are in agreement with the theoretical predictions. In this paper,a singularly perturbed Robin type boundary value problem for second-order ordinary differential equation with discontinuous convection coefficient and source term is considered.A robust-layer-resolving numerical method is proposed. Anε-uniform global error estimate for the numerical solution and also to the numerical derivative are established.Numerical results are presented,which are in agreement with the theoretical predictions.
作者 R.Mythili Priyadharshini N.Ramanujam
机构地区 Department of Mathematics
出处 《Numerical Mathematics(Theory,Methods and Applications)》 SCIE 2009年第1期100-118,共19页 高等学校计算数学学报（英文版）
基金 the Council of Scientific and Industrial Research,New Delhi,India for its financial support.
关键词 Singular perturbation problem piecewise uniform mesh discrete derivative discontinuous convection coefficient Robin boundary conditions discontinuous source term. 二阶常微分方程 系数和 衍生物 奇异摄动 源项 对流 间断 数值计算方法
分类号 O175.8 [理学—基础数学]
  • 相关文献

参考文献11

  • 1S. Li,G. I. Shishkin,L. P. Shishkina.Approximation of the solution and its derivative for the singularly perturbed Black-Scholes equation with nonsmooth initial data[J].Computational Mathematics and Mathematical Physics.2007(3)
  • 2S.Li,,G.I.Shishkin,L.P Shishkina.Approximation of solutions and its derivative for the singularly perturbed Black-Scholes equation with nonsmooth initial data[].CompMaths and MathPhys.2007
  • 3G.I.Shishkin.Approximation of solution and derivatives for singularly perturbed elliptic convection-diffusion equations[].Mathematical Proceedings of the Royal Irish Academy.2003
  • 4R.M.Priyadharshini,N.Ramanujam.Approximation of derivative to a singularly perturbed reaction-convection-diffusion problem with two parameters[].JApplMathInformatics.
  • 5R.M.Priyadharshini,N.Ramanujam.Approximation of derivative to a singularly perturbed second-order ordinary differential equation with discontinuous convection coefficient using hybrid difference scheme[].IntJComputMath.
  • 6.
  • 7P.A.Farrell,,A.F.Hegarty,,J.J.H.Miller,,E.O‘Riordan,and G.I.Shishkin.Robust Computational Techniques for Boundary Layers[]..2000
  • 8Shishkin,G. I.A Difference Scheme for a Singularly Perturbed Equation of Parabolic Type with a Discontinuous Boundary Condition[].Computational Mathematics and Mathematical Physics.1988
  • 9Shishkin,G. I.A Difference Scheme for a Singularly Perturbed Equation of Parabolic Type with a Discontinuous Initial Condition[].Soviet Mathematics Doklady.1988
  • 10Shishkin,G. I.Approximation of Solutions and Diffusion Flows in the Case of Singularly Perturbed Boundary Value Problems with Discontinuous Initial Condition[].Computational Mathematics and Mathematical Physics.1996
Numerical Mathematics(Theory,Methods and Applications)
2009年 第1期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部