Coupled Equations and Non-Linear Equations Solution MCQ

Test your knowledge with important Coupled Equations and Non-Linear Equations Solution MCQ and their applications. These MCQs are beneficial for competitive exams too. Explore 30+ more Coupled Equations and Non-Linear Equations Solution MCQs on Bissoy. Bissoy App

• While using the Picard iteration, how is the source term decomposed?
  ক

  qΦ=b0+b1 Φ

  খ

  qΦ=b0 Φ+b1 Φ2

  গ

  qΦ=b0 Φ

  ঘ

  qΦ=b0+b1 Φ2
• The non-linear terms like convection and source terms in a system are linearized using __________
  ক

  Iterative gradient method

  খ

  Jacobi method

  গ

  Picard iteration

  ঘ

  Incomplete LU decomposition
• When evaluation of the derivative of the non-linear function is not possible, which method is used?
  ক

  Newton’s method

  খ

  Global method

  গ

  Jacobi method

  ঘ

  Secant method
• Which of these creates a problem in Newton’s method for solving non-linear system of equations?
  ক

  Taylor series

  খ

  Jacobian

  গ

  Convergence

  ঘ

  Speed
• Newton’s method linearizes the function using ___________
  ক

  McLaurin series

  খ

  Laurent series

  গ

  Taylor series

  ঘ

  Fourier series
• The master method for solving the non-linear system of equations is __________
  ক

  Newton’s method

  খ

  Global method

  গ

  Jacobi method

  ঘ

  Gradient method
• In solving non-linear systems, there is a trade-off between ___________ and ___________
  ক

  speed and stability

  খ

  speed and security

  গ

  stability and convergence

  ঘ

  stability and error
• For solving for a single unknown in sequential solvers ____________ is used.
  ক

  Direct solver

  খ

  LU decomposition

  গ

  Elimination method

  ঘ

  Iterative solver
• In sequential methods for solving coupled equations, except the variable for which the equations are solved, the other variables are treated as ___________
  ক

  zeros

  খ

  unknowns

  গ

  known values

  ঘ

  ones
• When coupled equations are ___________ sequential solutions are used.
  ক

  linear and highly coupled

  খ

  non-linear and uncoupled

  গ

  linear and uncoupled

  ঘ

  non-linear and highly coupled