Graphical Comparison on Numerical Solutions of Initial Value Problem by Using Euler’s Method, Modified Euler’s Method and Runge-Kutta Method
Graphical Comparison on Numerical Solutions of Initial Value Problem by Using Euler’s Method, Modified Euler’s Method and Runge-Kutta Method
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欧拉法、修正欧拉法和龙格-库塔法初值问题数值解的图解比较
DOI：
10.55248/gengpi.2022.3.10.62
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发表时间：
2022
期刊：
影响因子：
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通讯作者：
M. Cancan
中科院分区：
文献类型：
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作者：
Muhammad Imran;Shahzad Rashid;Yasir Ali;Najma Najma;M. Cancan
本文用欧拉法、修正欧拉法和RK - 4方法讨论了一阶常微分方程带初值问题的沿着数值解。利用MATLAB程序给出了一些数值例子的解和图形，并确定了精确的解析解。为了验证精确解的准确性，我们采用不同的步长对精确解和数值近似解进行了比较
In this paper, discussion is made on the numerical solutions of ordinary differential equations of first order along with initial value problems by using Euler’s Method, Modified Euler’s Method and RK - 4 Methods. Solutions and graphs of some numerical examples have been obtained with the help of MATLAB program as well as we determined the exact analytical solutions. In order to validate the accuracy, we compared exact solutions with the numerical approximate solutions by using different step sizes