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 9.2.1 RK4 Method with h = 0.1

TABLE 9.2.2 y´ = 2xy, y(1) = 1

TABLE 9.2.3 RK4 Method

FIGURE 9.4.1 Numerical solution curves generated by different methods

TABLE 9.4.1 h = 0.2

TABLE 9.4.2 h = 0.1

FIGURE 9.4.2 Numerical solution curves for IVP in Example 3

FIGURE 9.4.3 Network in Problem 6