Question

In Euler's modified formula is predictor equation correctly written as ​

Answer 1

In Euler's modified formula, predictor equation correctly written as ​

$y_{t+1 , c}=y_{t}+h*\dfrac{f(x_{t},y_{t})+f(x_{t+1},y_{t+1,p})}{2}$ .

Explanation:

• Modified - Euler Method is also referred as Predictor - Corrector Method.  

• For a given differential equation with initial condition we can find the approximate solution using Modified - Euler's Method.

To calculate approximate solution using Modified-Euler's Method we have follow five steps;

1.  First , the value is predicted for a step.
2. Then the predicted value is corrected .
3. The incrementation is done.
4. Check for continuation , if $x_{t}< x_{n}$ then go to step-1.
5. Terminate the process.