CAJ | 학술논문

通过对工程动态控制及计算机仿真中有重要应用的两类非线性微分方程数值解的数学算法分析，建立四阶定步长 Runge Kutta及 Lorenz模型数值解的 MATLAB算法结构，讨论了变步长情形下的误差控制，绘制了基于 MATLAB的 Lorenz系统数值解在二维和三维空间下的图形，提出了在可接受误差限内的数值解检验的基本思路。
통과대공정동태공제급계산궤방진중유중요응용적량류비선성미분방정수치해적수학산법분석，건립사계정보장 Runge Kutta급 Lorenz모형수치해적 MATLAB산법결구，토론료변보장정형하적오차공제，회제료기우 MATLAB적 Lorenz계통수치해재이유화삼유공간하적도형，제출료재가접수오차한내적수치해검험적기본사로。
Based on the mathematical algorithm analysis for the two kinds of nonlinear differential e-quation numerical solutions in engineering dynamic control and the important applications in computer simulation,the essay establishes a fourth order fixed step length Runge Kutta and the algorithm structure of Lorenz model numerical solution MATLAB,discusses the error control variable step size case,draws a numerical solution of the Lorenz system under the two dimensional and three dimen-sional graphics based on the MATLAB,and finally points out the numerical solution in testing the basic train of thought within acceptable error limits.