h11 - Write a computer program to solve the following...

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Ma 449: Numerical Applied Mathematics Reading and Homework Assignment 11 Due: Friday, November 20th, 2009 Prof. Wickerhauser You are encouraged to collaborate on homework, and to work additional exercises from the indicated problem sections, although the homework grade will be based only on the exercises listed below. Please return your solutions to me by the end of class. LATE HOMEWORK WILL NOT BE ACCEPTED. Check your solutions to problems marked with an asterisk(*) against the values in the textbook's Answers section, pp.646--672. Read Chapter 9, Sections 9.1 through 9.3 of the text. Do Exercise 4 of Section 9.1, p.463. Do Exercise 6 of Section 9.1, p.463. Do Exercise 7 of Section 9.2, p.473. Do Exercise 6 of Section 9.3, p.480. Problem H11.1.
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Unformatted text preview: Write a computer program to solve the following initial value problem on the interval [0,1]: y'(t) = 2*t*y(t), for 0<t<1; y(0)=1 using Euler's method. Have the program prompt the user for the number of steps N, then use h=1/N as the step size. Make a table of the values y(1) for N=10, N=1000, and N=100,000. Problem H11.2. Write a computer program to solve the initial value problem of Extra Problem H11.1 using Heun's method. As before, have the program prompt for the number of steps N and use h=1/N as the step size. Make a table of the values y(1) for N=10, N=1000, and N=100,000. Compare the results with those of Problem H11.1 and with the exact value: e=2.71828 18284 59045 23536 02874. ......
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