asymptotic expansion
英
美
渐近展开式
双语例句
- The Rayleigh inverse-iteration method and boundary layer asymptotic expansion method are used to solve the blunt cone boundary layer stability equation to get reliable boundary layer transition data.
然后应用反迭代法与边界层渐近匹配的方法求解了钝锥边界层的稳定性方程，得到了钝锥边界层转捩数据。 - In this paper a class of singular perturbation of nonlocal boundary value problems for elliptic partial differential equations of higher order is considered by using the differential inequalities. The uniformly valid asymptotic expansion of solution is obtained.
本文利用微分不等式理论研究了一类高阶椭圆型微分方程非局部边值问题的奇摄动.得到了其解一致有效的渐近展开式。 - Under a given assumption, the author of this paper obtained the uniformly powerful asymptotic expansion of M order and made an estimation of the remainder in asymptotic series.
研究拟线性双曲型方程柯西问题，在一定假设下，得到解的M阶一致有效的渐近展开式，并作出余项估计。 - The iterative method is simpler than the asymptotic expansion method of calculation.
而且，在计算上迭代方法比渐近展开法更为简单。 - Under the appropriate assumptions, using the fixed-point theorem we obtain the existance of the perturbed solution and give its asymptotic expansion, which is uniformly valid for the arbitrary order.
在适当的假定下利用不动点定理，得到摄动问题解的存在性，并给出解的任意阶一致有效渐近展开式。 - Furthermore, we give the numerical experiment results for a non-linear radiation heat conduction equation with single-temperature, which show that the asymptotic expansion method is effective.
同时，我们还针对一种具有实际应用背景的非线性单温模型问题，给出了相应的数值实验结果，表明了新算法的有效性。 - Under suitable conditions we proved existence of solution and its uniformly valid asymptotic expansion of arbitrary order is given.
在适当的假设下，证得解的存在并给出任意阶的一致有效的渐近展开式。 - The existence and stability of co-exist periodic solutions are investigated by using the bifurcation theory, the implicit function theorem and the method of asymptotic expansion.
运用分歧理论、隐函数定理以及渐近展开的方法，获得了共存周期解的存在性与稳定性的结果。 - Under suitable assumptions of differential inequalities, the existence of the solutions of the Robin problems is proved and the uniformly valid asymptotic expansion is obtained.
在适当的假设下，利用微分不等式作者证明了此Robin问题解的存在性，并得到了其一致有效渐近展式。 - The existence and stability of periodic solution are studied by using the bifurcation theory, linear stability theory and the method of asymptotic expansion.
运用分歧理论、固有值的解析摄动理论和渐近展开的方法，获得了共存时间周期解的存在性和稳定性。