Order of accuracy m means _____________ – McqOptions

MCQOPTIONS

1.	Order of accuracy m means _____________
A.	as the grid size is reduced, the approximations converge to the exact solution with an error proportional to m powers of the grid size
B.	as the grid size is reduced, the approximations converge to the exact solution with an error proportional to m times of the grid size
C.	as the grid size is reduced, the approximations diverge from the exact solution with an error proportional to m powers of the grid size
D.	as the grid size is reduced, the approximations diverge from the exact solution with an error proportional to m times of the grid size
Answer» B. as the grid size is reduced, the approximations converge to the exact solution with an error proportional to m times of the grid size

Discussion

No Comment Found

Related MCQs

Order of accuracy m means _____________
What is the least order of accuracy for the second derivatives?
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?