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 x_{n - 3}

Milne's corrector formula is

where ε₂ lies between x x_{n – 1} and x x_{n + 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

Home | Department: EEE Department | Ist Year | Subject: Statistics and Numerical Methods |

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