Developed by Vinayak Singoriya & Utkarsh Gubrelay
Under Guidance of Dr. Shaligram Prajapat
Copyright © 2021 All rights reserved. ..
Under Guidance of Dr. Shaligram Prajapat
Copyright © 2021 All rights reserved. ..
The predictor-corrector method is also known as Modified-Euler method. In the Euler method, the tangent is drawn at a point and slope is calculated for a given step size. Thus this method works best with linear functions, but for other cases, there remains a truncation error. To solve this problem the Modified Euler method is introduced. In this method instead of a point, the arithmetic average of the slope over an interval is used. Thus in the Predictor-Corrector method for each step the predicted value of y(n+1) is calculated first using Euler’s method and then the slopes at the points (xn, yn) and (x(n+1), y(n+1)) is calculated and the arithmetic average of these slopes are added to yn to calculate the corrected value of y(n+1).
X | Y |
---|