摘要
基于变分迭代方法和Adomian多项式,提出求解非齐次常微分方程初值问题的一种变分—Adomian迭代法(VAIM),并且把它应用于求解磁流体(MHD)边界层流对应初值问题的级数解.通过Padé近似值和几何轨迹对所得结果与已有解进行比较,显示该方法是非常有效的,并且能够适用于其它非线性边界层问题.
Based on the variational iteration method and the Adomian＇s polynomials, a variational-Adomian iteration method （VAIM） for solving the initial value problems for the nonhomogeneous ordinary differential equations is presented and is applied to solving the series solution for an initial value problem of the magnetohydrodynamic（MHD） boundary layer flow. The obtained results are compared through the Pad6 approximation and the geometrical behavior with the existing solution, which reveals that the proposed method is very effective and can be used for other nonlinear boundary layer problems.
出处
《内蒙古大学学报（自然科学版）》
CAS
CSCD
北大核心
2014年第3期231-238,共8页
Journal of Inner Mongolia University：Natural Science Edition
基金
Supported by the Research Project of China Scholarship Council(No.201208155076)
the Natural Science Foundation of Inner Mongolia(No.2013MS0118)
the College Science Research Project of Inner Mongolia(No.NJZZ12182,No.NJZY13268)~~
