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RAJU ENGINEERING
[M19CAD1103]
I M. Tech I Semester (R19) Regular Examinations
COMPUTATIONAL METHODS IN ENGINEERING
Department of Mechanical Engineering
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MODEL QUESTION PAPER
TIME: 3Hrs. Max. Marks: 75 M
Answer ONE Question from EACH UNIT.
All questions carry equal marks.
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CO |KL |M
UNIT-I
- Solve using gauss — Jordan elimination
X—-y+2z=-8
x+y+z=-2--- Content provided by FirstRanker.com ---
2x-2y+3z=-20 (1 3 15)
OR - Fit a curve of the form y = axn for the following data: (1 3 15)
X 1 2 3 4 5 Y 0.5 2 4.5 8 12.5
UNIT-II
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- Using Shooting method, solve the BVP y” + y+x =0, 0<x<1, y(0)=0 (2 3 15)
and y(1) =e-1.
OR - Solve the heat conduction equation, Uxx— ut = 0, subject to boundary (2 3 15)
conditions u(0,t) = u(1,t) = 0 and u(x,0) =x — x2. Take h=0.25 and k =--- Content provided by FirstRanker.com ---
0.025.
UNIT-III
- Explain FFT by taking a suitable example. (3 2 15)
OR - Explain DFT by taking a suitable example. (3 2 15)
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UNIT-IV
- Solve the Poisson equation ?2u = -15(x2 + y2 + 15) subject to the (4 3 15)
condition u=0 at x=0 and x=3, u=0 at y=0 and u=1 at y=3
for 0<x<3 . Find the solution taking h = 1 with a square.
OR - Solve 4ut = uxx, u(0,t) =0, u(4,t) =0 (4 3 15)
u(x,0) = 0 and ut(x,0) = x(4-x).
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UNIT-V
- Solve uxx + uyy = 0, 0<x, y<1, with u(0,y) = 10 =u(1,y) and u(x,0)=20 (5 3 15)
= u(x,1). Take h = 0.25 and apply Liebmann method to 3 decimal--- Content provided by FirstRanker.com ---
accuracy.
OR - Explain the procedure for solving wave equation by finite difference (5 2 15)
method.
CO-CRSE TCOME KL-KNOWLEDGE LEVEL M-MARKS
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