Mesas-Fermi方程的动力学相容近似有理解
Dynamically Consistent Approximate Rational Solutions to the Thomas-Fermi Equation
摘要：
构造了非线性微分方程的两个有理近似解。这些表达式是从动态一致性原则的应用中得出的。除了检查两个近似解的预测数值的差异，我们将这些值与使用四阶龙格-库塔法获得的精确数值解进行比较。我们还提出了TF方程有界解所满足的几个新的积分关系
英文摘要：
We construct two rational approximate solutions to the Thomas-Fermi (TF) nonlinear differential equation. These expressions follow from an application of the principle of dynamic consistency. In addition to examining differences in the predicted numerical values of the two approximate solutions, we compare these values with an accurate numerical solution obtained using a fourth-order Runge-Kutta method. We also present several new integral relations satisfied by the bounded solutions of the TF equation
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。
