摘要
研究某类三阶非线性方程的边界层现象.通过引进适当的伸长变量,构造边界层函数,得到了解的N阶近似值,并利用微分不等式理论证明了解的渐近展开式的一致有效性.
Boundary layer phenomena of third-order nonlinear equation is studied in this paper. By introducing proper stretchy variable and constructing boundary layer function, it concludes N-order approximate solution, and using theory of differential inequality, uniformly validity of asymptotic expansion is proved.
出处
《宁夏大学学报（自然科学版）》
CAS
北大核心
2006年第3期221-224,共4页
Journal of Ningxia University(Natural Science Edition)
基金
福建省教育厅科技基金资助项目(JB00040)
关键词
奇摄动
边界层
渐近展开
微分不等式
singular perturbation
boundary layer
asymptotic expansion
differential inequality
