Euler's Method for solving Differential Equations | Numerical Methods
Автор: John's Maths Book
Загружено: 2024-08-26
Просмотров: 580
Описание:
This video explains how Euler's method works to numerically approximate the solution of first order differential equations given an initial value.
STEP SIZE
It explains how a step size is used to determine the number of iteration to use in order to find a solution and how the smaller the step size the more accurate the approximation.
It explains how the initial value plus the derivative in the form of the differential equation is used to find the Y value at the next step and the subsequent steps after.
It the shows how this can be used to provide a generalized equation which gives the gives an approximation for a Y value using a the Y value ay the previous step plus the derivative at the previous step and the step size.
An example is used to demonstrate how Euler's Method can be applied to a first order differential equation with an initial value to generate an approximate value for Y at a given value of X
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