This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Spring 2010 MAT260 – BEREGNINGSALGORITMER 2 Obligatory Exercise 2 Deadline: 29. April 15.00 Print your name and Candidate number on the front page, and deliver your solutions to the problems below in a box marked MAT260 in the ’Ekspedisjon’ office in the 5th floor Problem 1 Use the Leapfrog method a) x n = x n − 2 + 2 hf n − 1 , n = 2 , 3 , . . ., to integrate the differential equation x ′ ( t ) = x (1 x ) ≡ f ( t, x ) , four steps from t = 0 to t = 2 with initial value x (0) = 0 . 5. Use Euler’s method in the first step. Write down the formulas you use to compute each of the four xvalues. The global error in the computed approximation of x (2) is of order two. Using b) eight steps from t = 0 to t = 2 gives x (2) ≈ . 88110. Use your own result in combination with this result to estimate the error in the approximation . 88110. Explain the assumptions that your error estimate is based on. Write a Matlab function [t,x] = Leap frog(f,ts,te,xs,N) which takes c) a total of N equidistant steps from time...
View
Full
Document
This note was uploaded on 05/23/2010 for the course MAT mat260 taught by Professor Berntsen during the Spring '10 term at Bergen Community College.
 Spring '10
 Berntsen

Click to edit the document details