论文标题
动态一致的托马斯 - 弗米方程的近似合理解决方案
Dynamically Consistent Approximate Rational Solutions to the Thomas-Fermi Equation
论文作者
论文摘要
我们构建了Thomas-Fermi（TF）非线性微分方程的两个合理近似解决方案。这些表达式来自动态一致性原理的应用。除了检查两个近似解决方案的预测数值中的差异外，我们还将这些值与使用四阶Runge-Kutta方法获得的精确数值解决方案进行了比较。我们还介绍了TF方程有限解决方案满足的几个新的整体关系
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
