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
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
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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![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbc77db10-411b-4277-b72e-b2214a4cc0f7%2F699d9de3-e0bd-48d4-98ac-56d7cbe7e30b%2F8p5so1_processed.png&w=3840&q=75)
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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