Euler Method软件

Matlab codes for Euler method of numerical differentiation

软件应用简介

Matlab codes for Euler method of numerical differentiation

Euler’s method is a numerical method to solve first order first degree differential equation with a given initial value. It is the most basic explicit method for numerical integration of ordinary differential equations and is the simplest Runge–Kutta method. The Euler method is a first-order method, which means that the local error (error per step) is proportional to the square of the step size, and the global error (error at a given time) is proportional to the step size.

Example:

Enter initial value of x i.e. x0: 0

Enter initial value of y i.e. y0: 0.5

Enter the final value of x: 2

Enter the step length h: 0.2

x y

0.000 0.500

0.200 0.600

0.400 0.760

0.600 0.992

0.800 1.310

1.000 1.732

1.200 2.279

1.400 2.975

1.600 3.850

1.800 4.940

2.000 6.288

界面展示

结果示意

规格 价