HW12suggestions - (a) Euler: h = 0 . 1 and h = 0 . 2; (b)...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Jacobs University, Bremen School of Engineering and Science Prof. Dr. Lars Linsen, Orif Ibrogimov Spring Term 2010 Homework 12 120202: ESM4A - Numerical Methods Homework Problems 12.1. (a) Solve the initial-value problem x 0 = 1 + x 2 and x (0) = 0 on the interval [0 , 1 . 56] using the Taylor-series method of order four with step h = 0 . 01. (b) Solve the initial-value problem x 0 = - 3 t 2 x + x 2 2 t 3 + 3 tx and x (1) = - 2 on the interval [0 , 1] using the Taylor-series method of order two with step h = - 0 . 01. ( ? points ) 12.2. The function y ( x ) is defined by the problem y 0 ( x ) = x 2 - y 2 and y (0) = 1 Compute y (0 . 02) using the following methods
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: (a) Euler: h = 0 . 1 and h = 0 . 2; (b) Runge-Kutta method: h = 0 . 1; (c) Taylor-series method of order four. ( ? points ) 12.3. Given the initial value problem y ( t ) = ( y ( t ) + t ) 2 and y (0) = 1. Let step size h = 0 . 01. (a) Execute two steps of the second-order Runge-Kutta method. (b) Execute two steps of the fourth-order Runge-Kutta method. ( ? points ) Due: 14.05.10, at 3 pm (in the mailbox labeled Linsen in the entrance hall of Res.I )...
View Full Document

Ask a homework question - tutors are online