You are solving a boundary value problem using the finite difference method. One boundary condition is given as a specified dy derivative value (for example, dx = = 0). If you use the forward difference Ax = 0.02? Yi+1-Yi to approximate the derivative, about what do you expect the global error to be for Δη

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 37E
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You are solving a boundary value problem using the finite difference method. One boundary condition is given as a specified
dy
derivative value (for example,
dx
=
= 0).
If you use the forward difference
Ax = 0.02?
Yi+1-Yi
to approximate the derivative, about what do you expect the global error to be for
Δη
Transcribed Image Text:You are solving a boundary value problem using the finite difference method. One boundary condition is given as a specified dy derivative value (for example, dx = = 0). If you use the forward difference Ax = 0.02? Yi+1-Yi to approximate the derivative, about what do you expect the global error to be for Δη
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ISBN:
9780321964038
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Publisher:
Pearson Addison Wesley,