Alternative to Euler's Method Approximation

Related BrainMass Solutions

• Numerical Methods for Differential Equations

  Euler's methods to find an approximation is examined.

• The effects of the choice of step size on the Euler's approximation

  This solution shows how to implement the Euler's method and how the step size choice effects the error in the approximation.

• Differential Equations: Euler's Method

  148047 Differential Equations: Euler's Method Question: Using a computer or calculator, apply Euler's method to sketch an approximation to the solution curve for the solution to the initial-value problem. 2(d^2y)/(dt^2) + (dy)/(dt) + 4y = 0, where

• Solving differential equation using modified Euler's method.

  114521 Solving differential equation using modified Euler's method. Use the modified Euler's method to solve y' = -y +x + 2; y(0) =2 on the interval [0,1] with h = 0.1 Carry all computations to three decimal places.

• Using the C++ Code to Obtain the Numerical Approx to ODE

  Using Euler's method is the simplest numerical method for approximation solving initial value ODE'S.

• Derivative of a function

  f(3.1) b) Use Euler's method, starting at x=3 with a step size of .05 to approximate f(3.1).

• Differential Equation Application

  value problem Y^1 = 4 - y^2, y(0) = 1 Use the Euler's method with 5 steps to estimate y(1).

• Initial-Value Problem : Euler and Runge-Kutta Method

  30846 Initial-Value Problem : Euler and Runge-Kutta Method Solve the following initial value problem by Euler's method using h = 0.1. Find an error by comparing to exact solution. Then solve it by the Runge-Kutta method. Find an error.

• Computer Code in C++

  using Euler's method is simplest numerical method for approximation solving intial value ODE'S.