This exercise concerns deriving finite difference approximations of derivatives.(a) Derive a ( 2) approximation of ’( j ) that uses ( j ), ( j−1), and ( j+2).(b) Derive a ( 2) approximation of ’( j ) that uses ( j ), ( j−1), and ( j+2).(c) Derive a ( 2) approximation of ’( j ) that uses ( j ), ( j−1), and ( j+2). Also, explain how your answer can also be obtained from one of the formulas in Table 7.1.

This exercise concerns deriving finite difference approximations of derivatives. (a) Derive a ( 2 ) approximation of ’( j ) that uses ( j ), ( j −1 ), and ( j +2 ). (b) Derive a ( 2 ) approximation...

This exercise concerns deriving finite difference approximations of derivatives.

(a) Derive a
(
²) approximation of
’(
_j
) that uses
(
_j
),
(
_j−1), and
(
_j+2).

(b) Derive a
(
²) approximation of
’(
_j
) that uses
(
_j
),
(
_j−1), and
(
_j+2).

(c) Derive a
(
²) approximation of
’(
_j
) that uses
(
_j
),
(
_j−1), and
(
_j+2). Also, explain how your answer can also be obtained from one of the formulas in Table 7.1.

Nov 14, 2021

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This exercise concerns deriving finite difference approximations of derivatives. (a) Derive a ( 2 ) approximation of ’( j ) that uses ( j ), ( j −1 ), and ( j +2 ). (b) Derive a ( 2 ) approximation...

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