Lecture6-ODE - ME 262 Numerical Analysis Sessional CLASS 06 Department of Mechanical Engineering BUET Runge-Kutta method to solve first order

Lecture6-ODE - ME 262 Numerical Analysis Sessional CLASS 06...

This preview shows page 1 - 6 out of 6 pages.

CLASS: 06 ME 262: Numerical Analysis Sessional Department of Mechanical Engineering, BUET
Image of page 1
Runge-Kutta method to solve first order differential equations 3 June 2016 ME262 Numerical Analysis Sessional 2 The Euler Method y i+1 = y i + h f(x i , y i ) There are several reasons that Euler’s method is not recommended for practical use, among them, (i) the method is not very accurate when compared to others, and (ii) neither is it very stable.
Image of page 2