2u,j - Su,-1,j+4u,-2.j –Un-3.j h? ´n,j What does the finite difference expression approximate?
2u,j - Su,-1,j+4u,-2.j –Un-3.j h? ´n,j What does the finite difference expression approximate?
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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need help with attached PDE problem, thanks
![**Question 6:**
What does the finite difference expression
\[
\frac{2u_{n,j} - 5u_{n-1,j} + 4u_{n-2,j} - u_{n-3,j}}{h^2}
\]
approximate?
---
This question asks about the specific finite difference expression provided. It involves a combination of terms using values of \( u \) at different indices, divided by \( h^2 \). To understand what it approximates, one needs to analyze the pattern of coefficients and terms, which often indicate derivatives or differentials in numerical analysis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0548f28d-2867-4ce8-91e2-809a65372be3%2F53f6792f-7f25-4390-96e1-99f84fa092ad%2Fom2v4gr_processed.png&w=3840&q=75)
Transcribed Image Text:**Question 6:**
What does the finite difference expression
\[
\frac{2u_{n,j} - 5u_{n-1,j} + 4u_{n-2,j} - u_{n-3,j}}{h^2}
\]
approximate?
---
This question asks about the specific finite difference expression provided. It involves a combination of terms using values of \( u \) at different indices, divided by \( h^2 \). To understand what it approximates, one needs to analyze the pattern of coefficients and terms, which often indicate derivatives or differentials in numerical analysis.
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