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Unformatted text preview: Matlab Use ODE45 and ODE23S and note that ODE45 will take much longer than ODE23S since this problem is numerically stiff. 22.1 Matlab Only do parts (b) and (c). The ( x , T ) values for the analytic solution are provided in the answers below. Answers 20.1 (a) Analytic Solution (b) Euler with h = 0.5 2 Euler with h = 0.25 (c) Midpoint (this answer is incorrect – the first dy/dt calculation should be 1.1) (d) RK4 (this answer is incorrect – the first dy/dt calculation should be 1.1) All solutions plotted on the same figure: 3 20.9 20.15 21.3 After iterating the correction, y (2.5) = 3.271558, a ε = 0.061 21.6 4 21.11 22.1 Analytic solution at specified x locations: (b) 5 (c)...
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 Spring '09
 RAPHAELHAFTKA
 matlab, Numerical Analysis, Midpoint method, Runge–Kutta methods, Numerical ordinary differential equations

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