3.2 The Improved Euler Method and Related Methods - Ximera
ximera.osu.edu › ode › mainIn Trench 3.1 we’ll study the Runge-Kutta method, which requires four evaluations of at each step. We’ve used this method with , , and .The required number of evaluations of were again 12, 24, and , as in the three applications of Euler’s method and the improved Euler method; however, you can see from the fourth column of the table below that the approximation to obtained by the Runge ...
Improved Euler’s method
math.furman.edu › ~dcs › coursesImproved Euler Method Dan Sloughter Furman University September 19, 2008 Dan Sloughter (Furman University) Mathematics 255: Lecture 10 September 19, 2008 1 / 7 Improved Euler’s method I Again consider the initial-value problem dy dt = f (t;y); y(t 0) = y : I As before, we want to approximate the solution on the interval [t 0;t 0 + a] using N ...
Improved Euler Method
www.math.ubc.ca › ~israel › m215Step size 0.1 Clearly, in this example the Improved Euler method is much more accurate than the Euler method: about 18 times more accurate at . Now if the order of the method is better, Improved Euler's relative advantage should be even greater at a smaller step size. Here is the table for . Step size 0.05