# Chapter 7, Tools for the Verification of Approximate Solutions

### Wayne H. Enright

- Figure 7.1 a Approximate solution produced by ode45 for predator-prey problem, Solution Plot
- Figure 7.1 b Approximate solution produced by ode45 for predator-prey problem, Phase Portrait
- Figure 7.2 a Approximate solution produced by ode45 for Lorenz problem, Solution Plot
- Figure 7.2 b Approximate solution produced by ode45 for Lorenz problem, Phase Portrait
- Figure 7.3 a E
_{TOL}(x) for ode45, predator-prey problem, TOL = 10^{-3}
- Figure 7.3 b E
_{TOL}(x) for ode45, Lorenz problem, TOL = 10^{-6}
- Figure 7.4 a E
_{TOL}(x) for ode45, predator-prey problem, TOL = 10^{-5}
- Figure 7.4 b E
_{TOL}(x) for ode45, Lorenz problem, TOL = 10^{-8}
- Figure 7.5 a E
_{TOL}(x) for ode45, predator-prey problem, TOL = 10^{-7}
- Figure 7.5 b E
_{TOL}(x) for ode45, Lorenz problem, TOL = 10^{-10}
- Figure 7.6 a Check 1, Check 2 and Check 4 results for ode45, y
_{2}(x) of Predator-Prey Problem, TOL = 10^{-3}
- Figure 7.6 b Check 1, Check 2 and Check 4 results for ode45, y
_{3}(x) of Lorenz Problem, TOL = 10^{-6}
- Figure 7.7 a Check 1, Check 2 and Check 4 results for ode45, y
_{2}(x) of Predator-Prey Problem, TOL = 10^{-5}
- Figure 7.7 b Check 1, Check 2 and Check 4 results for ode45, y
_{3}(x) of Lorenz Problem, TOL = 10^{-8}
- Figure 7.8 a Check 1, Check 2 and Check 4 results for ode45, y
_{2}(x) of Predator-Prey Problem, TOL = 10^{-7}
- Figure 7.8 b Check 1, Check 2 and Check 4 results for ode45, y
_{3}(x) of Lorenz Problem, TOL = 10^{-10}
- Figure 7.9 a Check 3 results for ode45, y
_{2}(x) of Predator-Prey Problem, TOL = 10^{-3}
- Figure 7.9 b Check 3 results for ode45, y
_{3}(x) of Lorenz Problem, TOL = 10^{-6}
- Figure 7.10 a Check 3 results for ode45, y
_{2}(x) of Predator-Prey Problem, TOL = 10^{-5}
- Figure 7.10 b Check 3 results for ode45, y
_{3}(x) of Lorenz Problem, TOL = 10^{-8}
- Figure 7.11 a Check 3 results for ode45, y
_{2}(x) of Predator-Prey Problem, TOL = 10^{-7}
- Figure 7.11 b Check 3 results for ode45, y
_{3}(x) of Lorenz Problem, TOL = 10^{-10}

Last modified: 15 August 2004

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