Statistics and Numerical Methods: Unit V: Numerical Solution of Ordinary Differential Equations

Short Questions and Answers

Milne's Predictor and Corrector method

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Statistics and Numerical Methods : Unit - V : Numerical solution of ordinary differential Equations : Short Questions and Answers

SHORT QUESTIONS AND ANSWERS

 

1. Write Milne's predictor corrector formula.

[A.U. M/J 2014, M/J 2007, Tvli. N/D 2010, Tvli N/D 2011] [A.U N/D 2014 NM]

Solution:

Milne's predictor formula is


where ε1 lies between xn - 3

Milne's corrector formula is


where ε2 lies between x xn – 1 and x xn + 1.

 

2. How many prior values are required to predict the next value in Milne's method ? [A.U N/D 2019 R-17]

Solution : Four prior values.

 

3. Pick out the correct answer : [A.U M/J 2012]

Solution:

The error term in Milne's Predictor Formula is


 

4. What is the error term in Milne's corrector formula ?

Solution: The error term is - h / 90 Δ4 y0’

 

Statistics and Numerical Methods: Unit V: Numerical Solution of Ordinary Differential Equations : Tag: : Milne's Predictor and Corrector method - Short Questions and Answers

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