The boundary-value problem y" = 4(y-x), 0 < x < I, y(0) = 0, y(l)=2, has the solution
Chapter 11, Problem 1(choose chapter or problem)
The boundary-value problem y" = 4(y-x), 0 < x < I, y(0) = 0, y(l)=2, has the solution yfx) = e 2 {e4 ])_i(c2a e -2*) + x. Use the Linear Finite-Difference method to approximate the solution, and compare the results to the actual solution, a. With h = i; b. With h = \. c. Use extrapolation to approximate y(l/2).
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