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code visual basic array matrix order java kutta runge method elliptical partial differential equation
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请编写MATLAB程序用最优步长控制和变步长龙格-库塔-费尔别格（Runge-Kutta-Fehlberg）法求解如下刚体自由转动动力学方程：-Please write MATLAB to solve the following rigid body free rotation dynamics equation by using the most Uber long control and the transmud-kutt-fehlberg method:
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Using euler method and runge-kutta numerical solution method for differential equation and draw the graphic solution, the results are comparative analysis,
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用欧拉方法和龙格－库塔方法求微分方程数值解,画出解的图形,对结果进行比较分析,-Using euler method and runge-kutta numerical solution method for differential equation and draw the graphic solution, the results are comparative analysis,
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% 数值求解Sod激波管问题
% 采用Steger-Warming分裂
% 时间推进格式为3阶Runge-Kutta方法(A numerical solution for the Sod shock tube by using the method of Steger-Warming flux vector splitting.)
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用欧拉方法和龙格－库塔方法求微分方程数值解,画出解的图形,对结果进行比较分析,(Using euler method and runge-kutta numerical solution method for differential equation and draw the graphic solution, the results are comparative analysis,)
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数值分析程序，包括4阶龙格库塔，牛顿迭代法， 高斯赛德尔迭代法(Numerical analysis program, including 4 order Runge Kutta, Newton iterative method, Gauss Seidel iterative method)
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自己仿真的四元数法的龙格库塔的姿态解算matlab仿真(Their simulation of the quaternion method of runge kutta the attitude algorithm of matlab simulation)
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拟合超松弛线性插值，改进欧拉法与龙格库塔算法(Fitting the relaxation linear interpolation, the improved Euler method and Runge Kutta algorithm)
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里边包括四阶龙格库塔法，属于数值求解方法之一，可用于求解非线性微分方程。(fourth-oeder Runge-Kutta is one of the most efficient method to solve the non-linear differential equation)
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龙格－库塔法（Runge-Kutta methods）是用于非线性常微分方程的解的重要的一类隐式或显式迭代法，本程序是利用四阶龙格库塔法解的matlab实现(Runge-Kutta 4th order method realized in matlab codes)
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龙格库塔求解微分方程数值解，工程中很多的地方用到龙格库塔求解微分方程的数值解，
龙格库塔是很重要的一种方法，尤其是四阶的，精确度相当的高(Runge Kutta is used to solve the numerical solution of differential equation in many places in the project,
Rungekutta is a very important method, especially the fourth-order one,
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