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Numerical-methods Questions Set 4:

Quiz Mode

What is the order of convergence of the Regula Falsi Method?

1/2

3/2

Solution:

The convergence rate of the bisection method is:

cubic

quadratic

exponential

linear

Solution:

Which of the following numerical methods does not guarantee convergence?

Bisection Method

Regula-Falsi Method

Secant Method

None of these

Solution:

The Newton-Raphson method is used for:

Solving non-linear equations

Solving linear simultaneous equations

Solving ordinary differential equations

Numerical integration

Solution:

Which of the following is a single-step method to find the numerical solution of a differential equation?

Heun's Method

Simpson's Method

Milne's Method

Adam-Bash Fourth Method

Solution:

Which formula is used to interpolate values near the beginning of a table?

Newton's Forward Interpolation Formula

Newton's Backward Interpolation Formula

Both of these

None of these

Solution:

What is the primary use of the Gauss elimination method?

Solving linear simultaneous equations

Numerical integration

Solving non-linear equations

Solving ordinary differential equations

Solution:

When do we apply Simpson's 1/3 rule?

When the number of sub-intervals are even

When the number of sub-intervals are odd

When the number of sub-intervals are 0

When the number of sub-intervals are infinite

Solution:

Which of the following statements about numerical methods is correct?

Regula-Falsi method is a direct method

Newton-Raphson method is not used for iteration

Bisection method is an iterative method

Secant method is a direct method

Solution:

Match the items in Column 1 and Column 2

Column 1 Column 2

(P) Gauss-Seidel method (1) Interpolation

(Q) Forward Newton method (2) Non-linear differential equation

(R) Runge-Kutta method (3) Numerical integration

(S) Trapezoidal rule (4) Linear algebraic equations

P - 4, Q - 2, R - 3, S - 1

P - 4, Q - 1, R - 2, S - 3

P - 3, Q - 2, R - 4, S - 1

P - 4, Q - 1, R - 2, S - 3

Numerical-methods Questions Set 4:

What is the order of convergence of the Regula Falsi Method?

Solution:

The convergence rate of the bisection method is:

Solution:

Which of the following numerical methods does not guarantee convergence?

Solution:

The Newton-Raphson method is used for:

Solution:

Which of the following is a single-step method to find the numerical solution of a differential equation?

Solution:

Which formula is used to interpolate values near the beginning of a table?

Solution:

What is the primary use of the Gauss elimination method?

Solution:

When do we apply Simpson's 1/3 rule?

Solution:

Which of the following statements about numerical methods is correct?

Solution:

Match the items in Column 1 and Column 2

Column 1 Column 2

Solution:

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