节点文献
求解含有转向点的奇异扰动问题的新算法
NEW ALGORITHM ON SINGULAR PERTURBATION PROBLEM WITH TURNING POINTS
【摘要】 本文在再生核空间W3[0,1]中研究含有两个二阶转向点的奇异扰动问题,给出了这类方程精确解的表达式,算例表明近似解的误差随着结点数的增加单调递减.
【Abstract】 A new algorithm on singular perturbation problem with two second-order turning points are given in the reproducing kernel space W3.The algorithm is effciently applied to solving some model problems with the comparison between the numerical solutions and the exact solutions.It is demonstrated by the numerical examples that this algorithm is of high precision.
【关键词】 奇异扰动问题;
微分方程;
再生核空间;
算法;
【Key words】 Singular perturbation problem; Differential equation; Reproducing kernel space; Algorithm;
【Key words】 Singular perturbation problem; Differential equation; Reproducing kernel space; Algorithm;
【基金】 国家自然科学基金资助项目(60572125);哈尔滨工业大学(威海)科研基金资助项目(Y200511);黑龙江省骨干教师基金资助项目(1151G019);哈尔滨师范大学骨干教师科研基金资助项目(KG2005-07)
- 【文献出处】 哈尔滨师范大学自然科学学报 ,Natural Science Journal of Harbin Normal University , 编辑部邮箱 ,2007年02期
- 【分类号】O241.81
- 【被引频次】2
- 【下载频次】48