1. If we use a four-point difference formula for y'y'(x₁) =to approximate the solution to the IVPYi-2-6yi-1 + 3yi + 2yi+16h+0(h³)y' = f(t, y),a ≤ x ≤ b,y(a) = a.Write the numerical formula for it, what is the accuracy order or truncation error for this method?

Answered: Image /qna-images/answer/34ac4b19-7539-40b3-885c-b85a092c15b6.jpg

Answered: If we use a four-point difference…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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If we use a four-point difference formula for y' y (xi): = to approximate the solution to the IVP Yi-2-6yi-1 + 3yi + 2yi+1 6h -+0(h³) y' = f(t,y), a ≤ x ≤ b, y(a) = a. Write the numerical formula for it, what is the accuracy order or truncation error for this method?