Q4) Finite-difference formulations:a) Develop the forward-difference representation for the second-partial derivativea2fwhichis of order O(Ax?) by means of Taylor series expansion.b) Develop the backward-difference representation for the third-partial derivativea3fwhichis of grder O(4x) by means of a backward-recurrence formula.

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Q4) Finite-difference formulations: a) Develop the forward-difference representation for the second-partial derivative which əx² is of order O(4x?) by means of Taylor series expansion. b) Develop the backward-difference representation for the third-partial derivative which is of order O(4x) by means of a backward-recurrence formula.

Q4) Finite-difference formulations: a) Develop the forward-difference representation for the second-partial derivative which əx² is of order O(4x?) by means of Taylor series expansion. b) Develop the backward-difference representation for the third-partial derivative which is of order O(4x) by means of a backward-recurrence formula.

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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Question

Q4) Finite-difference formulations:
a) Develop the forward-difference representation for the second-partial derivative
a2f
which
is of order O(Ax?) by means of Taylor series expansion.
b) Develop the backward-difference representation for the third-partial derivative
a3f
which
is of grder O(4x) by means of a backward-recurrence formula.

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