Download JNTUK (Jawaharlal Nehru Technological University Kakinada (JNTU kakinada)) M.Tech (ME is Master of Engineering) 2020 R19 ME Computational Methods In Engineering Model Previous Question Paper
RAJU ENGINEERING
[M19CAD1103]
I M. Tech I Semester (R19) Regular Examinations
COMPUTATIONAL METHODS IN ENGINEERING
Department of Mechanical Engineering
MODEL QUESTION PAPER
TIME: 3Hrs. Max. Marks: 75 M
Answer ONE Question from EACH UNIT.
All questions carry equal marks.
*****
CO KL M
UNIT-I
1. Solve using gauss ? Jordan elimination
x ? y +2z = -8
x + y + z = -2
2x-2y+3z = -20
1 3 15
OR
2. Fit a curve of the form y = ax
b
for the following data:
x 1 2 3 4 5
Y 0.5 2 4.5 8 12.5
1 3 15
UNIT-II
3. Using Shooting method, solve the BVP y? + y + x = 0, 0 < x < 1, y(0)= 0
and y(1) = e-1.
2 3 15
OR
4. Solve the heat conduction equation, u
xx
? u
t
= 0, subject to bndary
conditions u(0,t) = u(1,t) = 0 and u(x,0) = x ? x
2
. Take h = 0.25 and k =
0.025.
2 3 15
UNIT-III
5. Explain FFT by taking a suitable example. 3 2 15
OR
6. Explain DFT by taking a suitable example. 3 2 15
UNIT-IV
7. Solve the Poisson equation A
2
= -15(x
2
+ y
2
+ 15) subject to the
condition u = 0 at x= 0 and x = 3 u = 3 u = 0 at y = 0 and u = 1 at y = 3
for o
OR
8. Solve 4u
xx
= u
tt
u(0,t) = 0 y(4,t) = 0
u
t
(x,0) = 0 and u(x,0) = x(4-x).
4 3 15
UNIT-V
9. Solve u
xx
+ u
yy
= 0, 0?x, y?1, with u(0,y) = 10 = u(1,y) and u(x,0) = 20
= u(x,1). Take h = 0.25 and apply Liebmann method to 3 decimal
accuracy.
5 3 15
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RAJU ENGINEERING
[M19CAD1103]
I M. Tech I Semester (R19) Regular Examinations
COMPUTATIONAL METHODS IN ENGINEERING
Department of Mechanical Engineering
MODEL QUESTION PAPER
TIME: 3Hrs. Max. Marks: 75 M
Answer ONE Question from EACH UNIT.
All questions carry equal marks.
*****
CO KL M
UNIT-I
1. Solve using gauss ? Jordan elimination
x ? y +2z = -8
x + y + z = -2
2x-2y+3z = -20
1 3 15
OR
2. Fit a curve of the form y = ax
b
for the following data:
x 1 2 3 4 5
Y 0.5 2 4.5 8 12.5
1 3 15
UNIT-II
3. Using Shooting method, solve the BVP y? + y + x = 0, 0
2 3 15
OR
4. Solve the heat conduction equation, u
xx
? u
t
= 0, subject to boundary
conditions u(0,t) = u(1,t) = 0 and u(x,0) = x ? x
2
. Take h = 0.25 and k =
0.025.
2 3 15
UNIT-III
5. Explain FFT by taking a suitable example. 3 2 15
OR
6. Explain DFT by taking a suitable example. 3 2 15
UNIT-IV
7. Solve the Poisson equation A
2
= -15(x
2
+ y
2
+ 15) subject to the
condition u = 0 at x= 0 and x = 3 u = 3 u = 0 at y = 0 and u = 1 at y = 3
for o< x < 3 . Find the solution taking h = 1 with a square.
4 3 15
OR
8. Solve 4u
xx
= u
tt
u(0,t) = 0 y(4,t) = 0
u
t
(x,0) = 0 and u(x,0) = x(4-x).
4 3 15
UNIT-V
9. Solve u
xx
+ u
yy
= 0, 0?x, y?1, with u(0,y) = 10 = u(1,y) and u(x,0) = 20
= u(x,1). Take h = 0.25 and apply Liebmann method to 3 decimal
accuracy.
5 3 15
6
OR
10. Explain the procedure for solving wave equation by finite difference
method.
5 2 15
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This post was last modified on 28 April 2020