Unformatted text preview: Compare the results with the exact value e=2.71828 18284 59045 23536 02874. ... Problem H12.2. Write a computer program to solve the initial value problem of H12.1, using the AdamsBashforthMoulton predictorcorrector method. Use the fourthorder RungeKutta method to produce the initial values y_1, y_2, y_3, f_1, f_2, and f_3. Make a table of the values y(1) for N=10, N=100, and N=1000 and compare the results with the exact value e. Problem H12.3. Write a computer program to solve the boundary value problem x''(t) = 2*t*x'(t)/(1+t*t)  2*x(t)/(1+t*t) + 1; x(0)=1, x(4)=1, over the interval [0,4]. Use shooting with any method (Euler, RungeKutta, Heun, etc.) and a step size of 0.1 to compute a solution. Problem H12.4. Write a computer program to solve the boundary value problem of Problem H13.3 using the finite difference method. Choose h=0.1 and compare the value at t=2 with the one given by the shooting method....
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This note was uploaded on 05/16/2010 for the course MATH 449 taught by Professor Wickerhauser during the Fall '09 term at Washington University in St. Louis.
 Fall '09
 Wickerhauser
 Math, Applied Mathematics, Addition

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