Engineering Questions with Answers - Multiple Choice Questions

Computational Fluid Dynamics – Finite Difference Method

1 - Question

The truncation error in a finite difference expansion is −(∂2u∂x2)i,jΔx2−(∂3u∂x3)i,j(Δx)36. What is the order of accuracy of the finite difference equation?
a) 1
b) 2
c) -2
d) -1
View Answer Answer: a
Explanation: The lowest order term in the truncation error given is Δx2, which is of the order 1. This defines the order of accuracy of the equation. So, the order of accuracy here is 1

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