A 2nd order ODE was approximated using a system of two 1st order equations subject to...
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A 2nd order ODE was approximated using a system of two 1st order equations subject to u(0) = 1 and v(0) = 0. The phase space using a finite difference approach looks like following: Phase Space: 2nd order ODE 1.5 0.5 -0.5 -1 -0.5 0.5 1.5 x) (A) What happens to the error in the approximation with iteration? (B) What can you say about the eigenvalues for this system/numeric approach? (x)t A 2nd order ODE was approximated using a system of two 1st order equations subject to u(0) = 1 and v(0) = 0. The phase space using a finite difference approach looks like following: Phase Space: 2nd order ODE 1.5 0.5 -0.5 -1 -0.5 0.5 1.5 x) (A) What happens to the error in the approximation with iteration? (B) What can you say about the eigenvalues for this system/numeric approach? (x)t
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