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

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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 = f ( t, y ): t 2 y + sin(
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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...
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