机构地区: 哈尔滨师范大学
出 处: 《哈尔滨师范大学自然科学学报》 2007年第2期24-27,共4页
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. 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.