So, these two methods are limited by small parameter when they are applied to quadratic nonlinear oscillator.
因此,这两种方法在平方非线性振动方程中的应用受到小参数的限制。
参考来源 - 非线性振动方程的渐近解及其数值验证These methods have achieved great success in solving partial differential equation, however, there are disadvantage to solve the paradoxical perturbation equation of small parameter.
虽然上述方法在求解偏微分方程的数值解中取得了显著的成效,但对于含小参数奇异摄动方程,上述方法就显得力不从心了。
参考来源 - 偏微分方程的小波·2,447,543篇论文数据，部分数据来源于NoteExpress
The nonlinear resonant and non-resonant periodic solutions are obtained by the small parameter methods.
然后用小参数法求出了非线性的非共振周期解和共振周期解。
The small parameter perturbation approximation is applied quite often in applied mathematics and mechanics.
应用数学与力学经常使用小参数摄动近似。
Secondly, a technique of numerical order verification was applied to verify that the asymptotic solutions were uniformly valid for small parameter.
其次，一种数值阶验证技术证实求得的二阶渐近解对小参数都是一致有效的。
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