Solving Initial Value Problem using Euler's Method in CSCI 5606 - Prof. Richard Byrd, Assignments of Computer Science

Download Solving Initial Value Problem using Euler's Method in CSCI 5606 - Prof. Richard Byrd and more Assignments Computer Science in PDF only on Docsity! Last Assignment CSCI 5606 due December 11, 2008 1. Consider the initial value problem y′(t) = 1.0/(1.0 + x2)− 2.0[y(x)]2. y(0) = 0 The exact solution is y(x) = x/(1.0 + x2). Write a program to solve this problem on the interval [0,5] using Euler’s method. Use h=0.5, 0.25, and 0.125 (10, 20 and 40 intervals). In each case print the computed value at x = 5 and the error. How does the error seem to be varying with h? Explain how you determined this. 1