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

作　　者：R.Mythili Priyadharshini N.Ramanujam 

机构地区：[1]Department of Mathematics,Bharathidasan University,Tiruchirappalli-620 024,Tamilnadu,India.

出　　处：《Numerical Mathematics(Theory,Methods and Applications)》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.

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.

关 键 词：Singular perturbation problem piecewise uniform mesh discrete derivative discontinuous convection coefficient Robin boundary conditions discontinuous source term. 

分 类 号：O175.8[理学—数学]