论文标题
讨论非线性普通方程的一阶系统的大致解决方案
A discussion on the approximate solutions of first order systems of non-linear ordinary equations
论文作者
论文摘要
我们开发了一个步骤矩阵方法，以获取一阶系统和非线性普通微分方程的近似解决方案，该方程可简化为一阶系统。我们找到了收敛到精确溶液的一系列溶液。我们通过将方法应用于不同众所周知的示例来研究该方法的局部误差的精度。该方法比其他方法的优点在于其实施的简单性。
We develop a one step matrix method in order to obtain approximate solutions of first order systems and non-linear ordinary differential equations, reducible to first order systems. We find a sequence of such solutions that converge to the exact solution. We study the precision, in terms of the local error, of the method by applying it to different well known examples. The advantage of the method over others widely used lies on the simplicity of its implementation.
