节点文献
求解奇异摄动转向点问题的一个高阶格式
A High-Order Difference Scheme for a Singularly Perturbed Turning Point Problem
【摘要】 <正> §1.引言本文考虑以下奇异摄转向点问题: (1.1)这里参数ε是(0,1]中常数,函数α(x)∈C~2[I],b(x),f(x)∈C~3[I],且满足α(x)≥α_*>0,b(x)≥b_*>0,在以上假设下,由[2]可知,方程(1.1)存在唯一解u_ε∈C~4[I],且满足以下不等式
【Abstract】 In this paper, we consider a singularly perturbed boundary value problem with a turning point. On a special discretization mesh, a three-point difference scheme is proposed and the second order convergence uniform in a small perturbation parameter is proved. Finally, numerical results are provided.
- 【文献出处】 应用数学与计算数学学报 ,Communication On Applied Mathematics and Computation , 编辑部邮箱 ,1992年02期
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