MA 625: Assignment 6

The assignment is due Thursday, April 8 in class.

Please e-mail your Matlab script(s) to

before class. Please bring to class the pencil and paper part and the code part.

Part I

Problems 4.2 (only do one of the methods, not all four) and 4.3 (first paragraph only), pages 126-127 in the text.

Part II

Consider the wave equation that is defined in the text in equations (4.33a)-(4.35b).

Write Matlab scripts that solve this equation for the Lax-Wendroff scheme and the Leap-Frog scheme (use Lax-Wendroff to start Leap-Frog). (Optionally, use the box scheme, too.) Write a short report describing the accuracy of the methods, any problems that you encountered, and draw some conlcusions on which method you would recommend.

Cheers,
Craig C. Douglas