Numerical Solutions of Ordinary Differential Equations

Numerical Solutions of Ordinary Differential Equations
Chapter 9 Numerical Solutions of Ordinary Differential Equations

TABLE 9.1.1 Euler’s Method with h = 0.1

TABLE 9.1.2 Euler’s Method with h = 0.05

FIGURE 9.1.1 Slope of red dashed line is the average of m0 and m1

TABLE 9.1.3 Improved Euler’s Method with h = 0.1

TABLE 9.1.4 Improved Euler’s Method with h = 0.05

TABLE RK4 Method with h = 0.1

TABLE y´ = 2xy, y(1) = 1

TABLE RK4 Method

FIGURE 9.4.1 Numerical solution curves generated by different methods

TABLE h = 0.2

TABLE h = 0.1

FIGURE 9.4.2 Numerical solution curves for IVP in Example 3

FIGURE 9.4.3 Network in Problem 6

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