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2. If the derivative of an accurately determined function is replaced with a finite difference, how the choice of step influences the error of the replacement? Which of the three types of finite difference is the most accurate?

2. If the derivative of an accurately determined function is replaced with a finite difference, how the choice of step influences the error of the replacement? Which of the three types of finite difference is the most accurate?

Advanced Engineering Mathematics
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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plz solve all the two question with explanation step by step within 30-40 min.
2. If the derivative of an accurately determined function is replaced with a finite difference, how the choice of step influences the error of the replacement? Which of the three types of finite difference is the most accurate? 3. Is it possible to reduce the error of numerical differentiation by reducing the step?
Transcribed Image Text:2. If the derivative of an accurately determined function is replaced with a finite difference, how the choice of step influences the error of the replacement? Which of the three types of finite difference is the most accurate? 3. Is it possible to reduce the error of numerical differentiation by reducing the step?
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