Find A, B which make the approximation. So S(x)dæ = Ahƒ(0) + Bhf() as high order as possible. With your choice of A, B, what is the degree of precision, and what is the order of the error (power of h that the global error is proportional to) in this approximation?
Find A, B which make the approximation. So S(x)dæ = Ahƒ(0) + Bhf() as high order as possible. With your choice of A, B, what is the degree of precision, and what is the order of the error (power of h that the global error is proportional to) in this approximation?
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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Answer is given BUT need full detailed steps and process since I don't understand the concept.
Expert Solution
Step 1
Use the following concepts, to determine the solution.
- The degree of precision is the largest positive integer n, the degree of the polynomial , for , for which the integration formula is exact.
- The order of accuracy is dependent on the step size h in the numerical method.
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