求解非线性问题的改进的Lindstedt-Poincare方法
Improved Lindstedt-Poincare method for the solution of nonlinear problems
摘要：
我们应用线性增量展开（LDE）的Lindstedt-Poincare（“扭曲时间”）方法，以找到改进的近似解非线性问题。我们发现，我们的方法在非谐振子（Duffing方程）和非线性摆的情况下，在很宽的参数范围内工作得很好。与简单的Lindstedt-Poincaré方法相比，该方法的近似解具有更好的性能，并且更快地收敛到精确解。
英文摘要：
We apply the Linear Delta Expansion (LDE) to the Lindstedt-Poincare (``distorted time'') method to find improved approximate solutions to nonlinear problems. We find that our method works very well for a wide range of parameters in the case of the anharmonic oscillator (Duffing equation) and of the non-linear pendulum. The approximate solutions found with this method are better behaved and converge more rapidly to the exact ones than in the simple Lindstedt-Poincaré method.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
