Develop a finite-difference approximation with T.E. of O(Ay)² for aT/ay at point (i, j)using Tij, Ti,j+1, and T₁+2 when the grid spacing is not uniform.

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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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Develop a finite-difference approximation with T.E. of O(Ay)² for aT/ay at point (i, j) using Tij, Ti,j+1, and T₁+2 when the grid spacing is not uniform.