M E 309-14283-Kabo-Fa11_ XC - Quiz8 - Chapter 11 - 12_9

12/8/11 M E 309-14283-Kabo-Fa11: XC - Quiz8 - Chapter 11 - 12/9

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English (en_us)

1Marks: 4

values of dependent variables specified on boundary Dirichlet

value of independent variable specified on boundary not applicable

value of gradient of dependent variable defined on boundary Neumann

linear combination of dependent variable and its gradientspecified on boundary

Robbins

Match the boundary condition with the name provided (choose best answer)

CorrectMarks for this submission: 4/4.

2Marks: 1

Choose oneanswer.

a. Only with implicit methods

b. The nodes of the grid mesh do not correspond to the physical boundaries ofthe problem

c. Improved accuracy is desired

d. Never

Fractional independent variable spacing should be used when


3Marks: 1

Answer: True

False

Reducing the step size will always result in improved accuracy of the solution of PDEs

XC - Quiz8 - Chapter 11 - 12/9

Review of attempt 1

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Started on Wednesday, December 7, 2011, 06:43 PM

Completed on Wednesday, December 7, 2011, 06:52 PM

Time taken 8 mins 59 secs

Grade 21 out of a maximum of 21 (100%)

CSU Northridge ► M E 309-14283-Kabo-Fa11 ► Quizzes ► XC - Quiz8 - Chapter 11 - 12/9 ► Review of attempt 1




�Marks: 1

Answer: True

False

A gradient may be specified as a boundary condition on a surface governed by a PDE.


�Marks: 1

Answer: True

False

Analytical solutions can be found to most partial differential equations.


�Marks: 1

Choose oneanswer.

a. parabolic

b. elliptic

c. hyperbolic

Diffusion problems are usually associated with which type of PDE?


�Marks: 1

Answer: True

False

You can apply backward, forward and central difference techniques independently inthe solution of PDEs according to the independent variable involved?


�Marks: 1

Choose oneanswer.

a. elliptic

Classify the following equation as hyperbolic, parabolic, or elliptic2Vxx+5Vxy+2Vyy-Vx-xVy=0



b. parabolicc. hyperbolic


9Marks: 1

Choose oneanswer.

a. Implicit

b. Explicit

Which method is more computationally efficient?


10Marks: 1

Answer: True

False

The classification into elliptic, parabolic and hyperbolic equations is applicable only tosecond order partial differential equations.


11Marks: 1

Answer: True

False

If the governing parabolic PDE is homogeneous, explicit methods will result in a set ofhomogeneous equations to be solved simultaneously


12Marks: 1

Choose oneanswer.

a. Any explicit method

b. Alternating Direction Implicit

c. Any implicit method

d. Crank-Nicholson

Which method is preferred for the numerical solution of parabolic PDEs that depend on 2spatial variables?




13Marks: 1

Choose oneanswer.

a. parabolic

b. hyperbolic

c. elliptic

Classify the following equation as hyperbolic, parabolic, or ellipticyVxx+Vyy-Vx=0

for y < 0


14Marks: 1

Answer: True

False

The classification into elliptic, parabolic and hyperbolic equations is applicable only tosecond order partial differential equations.


15Marks: 1

Answer: True

False

When instability of the solution is of concern an appropriate form of implicit method ispreferred


16Marks: 1

Answer: True

False

The solutions of elliptic and parabolic equations are not always continuous in its spatialand time domains.


17Marks: 1

Choose oneanswer.

a. hyperbolic

b. elliptic

Classify the following equation as hyperbolic, parabolic, or ellipticVxx+4Vxy+Vyy=2VVx



c. parabolic


18Marks: 1

Choose oneanswer.

a. never

b. when mixed boundary conditions are involved

c. choice of step size

d. when irregular boundaries are present

Numerical solutions of Parabolic equations may lead to instabilities associated with


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M E 309-14283-Kabo-Fa11_ XC - Quiz8 - Chapter 11 - 12_9