A) Forward Euler is _________.1st order accurate2nd order accurate3rd order accurateB) Backwards Euler is ________.1st order accurate2nd order accurate3rd order accurateC) Modified Euler (A.k.a Modified Foward Euler) is_____.1st order accurate2nd order accurate3rd order accurate

Answered: A) Forward Euler is _________. 1st…

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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A) Forward Euler is _________.

1st order accurate
2nd order accurate
3rd order accurate

B) Backwards Euler is ________.

1st order accurate
2nd order accurate
3rd order accurate

C) Modified Euler (A.k.a Modified Foward Euler) is_____.

1st order accurate
2nd order accurate
3rd order accurate

Expert Solution

Step 1 Introduction

Forward and Backward Euler are both first order accurate methods, so their global errors are just proportional with h. Thus, if we reduce the step size h by a factor of , the error will also be reduced by the same factor.

Modified Euler is an example of 2nd order R-K method.

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