The truncation error in a finite difference expansion is \(-(\frac{\p – McqOptions

MCQOPTIONS

1.	The truncation error in a finite difference expansion is \(-(\frac{\partial^2 u}{\partial x^2})_{i,j} \frac{\Delta x}{2}-(\frac{\partial^3 u}{\partial x^3})_{i,j} \frac{(\Delta x)^3}{6}\). What is the order of accuracy of the finite difference equation?
A.	1
B.	2
C.	-2
D.	-1
Answer» B. 2

Discussion

No Comment Found

Related MCQs

Order of accuracy m means _____________
What is the least order of accuracy for the second derivatives?
Find \(\frac{\partial u}{\partial r}\) at point 1 using forward difference method.
What is the order of the central difference for the mixed derivative \(\frac{\partial^2 u}{\partial x\partial y}\) while approximated using the Taylor series expansion?
Find the central second difference of u in y-direction using the Taylor series expansion.
Using the Taylor series expansion, What is the first term of the truncation error of the finite difference equation \((\frac{\partial u}{\partial x})_{i,j}=\frac{u_{i+1,j}-u_{i,j}}{\Delta y}\)?
Find the first-order forward difference approximation of \((\frac{\partial u}{\partial x})_{i,j}\) using the Taylor series expansion.
Find the second-order accurate finite difference approximation of the first derivative of the velocity component (u) in the x-direction using the Taylor series expansion. (Note: i and j are in the x and y-direction respectively).
Consider the equation \((\frac{\partial u}{\partial y})_{i,j}=(\frac{u_{i,j}-u_{i,j-1}}{\Delta y})\) formulated using the Taylor series expansion. Find the type of equation.
The truncation error in a finite difference expansion is \(-(\frac{\partial^2 u}{\partial x^2})_{i,j} \frac{\Delta x}{2}-(\frac{\partial^3 u}{\partial x^3})_{i,j} \frac{(\Delta x)^3}{6}\). What is the order of accuracy of the finite difference equation?