HW1 - y-1 = 0 2. (2 points) Is the following initial value...

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

View Full Document Right Arrow Icon
Homework 1, due Monday January 12, 9am in class or 8:30am in the homework box Reading: Scholarpedia article on method of lines. Review: If you are not fluent in Matlab, use this week to learn/review Matlab. There are links to several Matlab tutorials on the class website. Next week’s homework will include a programming assignment. 1. (1 point) Convert to standard form ODE system y 0 = f ( t, y ): t 2 y 00 + sin( y 0 ) + 2
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: y-1 = 0 2. (2 points) Is the following initial value problem well-posed? (i.e. does it satisfy the assumptions of the existence and uniqueness theorem) Why or why not? y = q 1-y 2 , y (0) = 0 3. (2 points) Write down the ODE system corresponding to the method of lines discretization of the following PDE: u t = u xx + u (1-u ) u (0 , x ) = 1-x u ( t, 0) = 1 u ( t, 1) = 0 1...
View Full Document

Ask a homework question - tutors are online