We can solve the first order differential equations numerically by Euler’s method and Runge-Kutta method. In this post, we will discuss each method with the help of video lectures. Each video tutorial contains at least one example to make the topic more clear. So watch each tutorial one by one to grab the concepts efficiently.
We have already discussed the solution of the system of linear equations, numerical solution of algebraic non-linear equations, and the numerical solution of definite integrals in our previous posts. If you want to learn these concepts then click on their respective links.
In this section, we will discuss explicit Euler’s method or forward Euler’s method, Implicit Euler’s method or backward Euler’s method, and Heun’s method or improved Euler’s method. These methods are used to solve the first order ordinary differential equations numerically. To understand these topics, watch the video given below. Repeat the video tutorial until you get the concept thoroughly and practice the example given in the video.
Runge-Kutta method of fourth order is also called the RK4 method. It is also used to solve the first order ordinary differential equation numerically. Watch the video tutorial given below to understand this method.
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