Q2.1 Cosine is a class M function. Here, M is:
1. Zero
2. One
3. Two
4. Infinite
1. x
2. w
3. b
4. f
1. Boundary Value Problem
2. Initial Value Problem
3. Eigen Value Problem
4. None of the above
Q2.4 Which of the following is true? *u = ∑cjΦj(x) +
Φo(x)] (where Φ’s are approximation functions)
1. Φo(x) is always zero
2. Φj(x) are unknowns
3. Φj(x) are knowns
4. Cj are knowns
Q2.5 For boundary conditions :
u(0) = 0 ; u’(1) = 0, which of the following Φ
(approximation function) can be chosen in strong
form of differential equation?
1. Φ0 = 1; Φ1 = x(x-2); Φ2 = x(x2-3)
2. Φ0 = 1; Φ1 = (x-2); Φ2 = x(x2-3)
3. Φ0 = 0; Φ1 = x(x-2); Φ2 = x2(x-3)
4. Φ0 = 0; Φ1 = x(x-2); Φ2 = x(x2-3)
Q2.6 Which of the following is not true about
Φ’s (approximation function)?
1. They have to assumed.
2. They should satisfy the boundary conditions.
3. They have to be a polynomial function.
4. They help us in defining how the primary variable will behave.
Q2.7 For boundary conditions :
u(0) = 0 ; u’(1) = 0, which of the following Φ
(approximation function) can be chosen in strong
form of differential equation?
1. Φ0 = 0; Φ1 = x(x-2); Φ2 = x(x3-4)
2. Φ0 = 1; Φ1 = x(x-2); Φ2 = x(x2-2)
3. Φ0 = 0; Φ1 = x(x-2); Φ2 = x(x3-3)
4. Φ0 = 1; Φ1 = x(x-2); Φ2 = x(x3-4)
Q2.8 (wv)’ is the same as :
1. w’v’
2. w’v + wv’
3. w + v
4. w2 + v2
Q2.9 What is the meaning of weak
formulation?
1. Solutions obtained are incorrect.
2. No Boundary conditions have to be satisfied.
3. The differentiability requirement on primary variable is increased.
4. The differentiability requirement on primary variable is decreased.
Q2.10 For a 4th order differential equation in its
weak form, the weight function must belong to
the class :
1. C0
2. C1
3. C2
4. C3
Q2.11 For a 4th order differential equation in its
strong form, the primary variable must belong to
the class :
1. C1
2. C2
3. C3
4. C4
Q2.12 In the gradient theorem equation, ∇
means:
Q2.13 ∇2 can be written as:
1.
2.
3.
4.
x+1
x+2y
2x+1
2y+1
Q2.15 Gradient of f is a :
1.
2.
3.
4.
Scalar field
Vector field
Combination of a scalar & vector field.
None of the above.
1.
2.
3.
4.
Scalar field
Vector field
Combination of a scalar & vector field.
None of the above.
Q2.17 Which of the following is a bilinear
functional?
1. I(u,w) = uw
2. I(u,w) = u+w
3. I(u,w) = u2 + w2
4. I(u,w) = u-w
Q2.18 Which of the following is a not
symmetric functional?