Unformatted text preview: ( ) 1 − = y ; ( ) 1 = y a) Show that the exact solution is the same as that in Question 2 part (a). b) Substitute second-order central differences to develop the discretized ODE. For a step size 2 . = Δ x , develop the set of simultaneous algebraic equations that governs the unknown y values in the interval 1 ≤ ≤ x . (Do not have to solve the set) c) Write the equations of part (b) in matrix form, and discuss how you would solve them. How would the process change if we used a step size 01 . = Δ x ?...
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- Spring '10
- English-language films, Boundary value problem, Δx, second-order central differences