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12 Nov 2019
Please help me with this and answer as it says please ! It confuse me
The following initial value problem of ODE has an exact solution. To understand how accurate different numeric methods can be used to approximate the exact solutions, 1) use the Euler's method, improved Euler's method and the fourth-order Runge-Kutta method respectively to find the numeric solutions to the given initial value problem of ODE. 2) Determine the absolute error of each numeric solution relative to the corresponding exact solution. Calculate the solutions with a step size of 0.1 and the nodes x1 = 0.1, x2 = 0.2, x3 = 0.3, x4 = 0.4 and x5 = 0.5. Keep 4 decimal digits in your calculations.
Please help me with this and answer as it says please ! It confuse me
The following initial value problem of ODE has an exact solution. To understand how accurate different numeric methods can be used to approximate the exact solutions, 1) use the Euler's method, improved Euler's method and the fourth-order Runge-Kutta method respectively to find the numeric solutions to the given initial value problem of ODE. 2) Determine the absolute error of each numeric solution relative to the corresponding exact solution. Calculate the solutions with a step size of 0.1 and the nodes x1 = 0.1, x2 = 0.2, x3 = 0.3, x4 = 0.4 and x5 = 0.5. Keep 4 decimal digits in your calculations.
Deanna HettingerLv2
27 Jun 2019