Unformatted text preview: 8.3 Irregular Mesh Problems
1. Develop a ﬁnite diﬀerence approximation with T.E. of O (∆y )2 for ∂T /∂y at point (i, j )
using Ti,j , Ti,j +1 , Ti,j +2 when the grid spacing is not uniform.
2. Determine the T.E. of the following ﬁnite diﬀerence approximation for ∂u/∂x at point
(i, j ) when the grid space is not uniform:
ui+1,j − (∆x+ /∆x− )2 ui−1,j − [1 − (∆x+ /∆x− )2 ] ui,j
∆x− (∆x+ /∆x− )2 + ∆x+ 298 ...
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This note was uploaded on 12/22/2011 for the course MAP 2302 taught by Professor Bell,d during the Fall '08 term at UNF.
- Fall '08