(2) You've used a numerical method with second-order global error to estimate the value of a solution of a differential equation, and using 4 time steps you've got an error not exceeding 0.25. How many times must you halve the step size to be sure the error is less than 0.0001? How does the answer change if the method were fifth-order instead?

(2) You've used a numerical method with second-order global error to estimate the value of a solution of a differential equation, and using 4 time steps you've got an error not exceeding 0.25. How many times must you halve the step size to be sure the error is less than 0.0001? How does the answer change if the method were fifth-order instead?

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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