Question

___ prior values are required to predict the next value in milne's method​

Answer 1

Answer:

Adams predictor–corrector methodEdit

Note, the four-step Adams-bashforth method needs four initial values to start the calculation.

Answer 2

Answer:

Four prior values are required to predict the next value in Milne's method​.

Explanation:

Four prior values are required by Milne's method in order to determine the value of y at Milne uses Simpson's one-third formula to determine the corrector formula and ignores fourth and higher order differences when determining predictor formulas.

• For systems of first-order ordinary differential equations: y′=f(x,y), y(a)=b, a finite-difference method is used to solve the Cauchy problem.

• The starting values for the Milne's predictor-corrector method are yi, yi–1,yi–2andyi–3 That is, we require the valuesy0,y1,y2,y3. Initial condition results in y=0.

• In the Adams Bash forth Moulton Method, predicting the following value requires knowledge of four prior values.
• Milne's method and Adams method are two popular examples of these techniques.