Q.1
What are the two methods used to find the type of PDEs?
  • a) Lagrangian Method and Eulerian method
  • b) Cramer’s method and Eulerian method
  • c) Cramer’s method and Lagrangian Method
  • d) Cramer’s method and Eigenvalue method
Q.2
How the type of PDE is identified using Cramer’s rule?
Questioncomputational-fluid-dynamics-questions-answers2.jpg
  • a) By equating the Cramer’s denominator to 1
  • b) By equating the Cramer’s numerator to 1
  • c) By equating the Cramer’s denominator to 0
  • d) By equating the Cramer’s numerator to 0
Q.3
What are the Cramer’s solutions equated to while using Cramer’s method of classifying a PDE?
  • a) The dependent variables
  • b) The derivatives of dependent variables
  • c) The second derivatives of dependent variables
  • d) The highest derivatives of dependent variables
Q.4
_________ of the characteristic curves is used to find the type of PDE.
  • a) Starting point
  • b) Centre
  • c) Length
  • d) Slope
Q.5
What is the Cramer’s numerator when the solution is the derivative of dependent variables?
  • a) any negative value
  • b) any positive value
  • c) 1
  • d) 0
Q.6
The Eigenvalues in the Eigenvalue method are ____________
  • a) the type of the characteristic lines
  • b) the type of PDE
  • c) the slope of the characteristic lines
  • d) the slope of PDE
Q.7
When the Eigenvalues are a mixture of real and imaginary values, the PDE is ___________
  • a) elliptic-hyperbolic
  • b) parabolic
  • c) elliptic
  • d) hyperbolic
Q.8
Solutions of a system of PDEs can be obtained by equating the numerator of Cramer’s solution while using Cramer’s rule. This method is used by __________
  • a) Integral transform
  • b) Change of variables
  • c) Separation of variables
  • d) Method of characteristics
0 h : 0 m : 1 s