Name of the College : G. H. Raisoni College Of Engineering
Subject Code/Name : Numerical Computing
Dept : Computer Science Engineering
Degree : B.E
SEM: : IV
Website : raisoni.net
Document Type : Question Bank
Download Model/Sample Question Paper : https://www.pdfquestion.in/uploads/raisoni.net/3299-QUESTION%20BANK.docx
Raisoni Numerical Computing Question Paper
QUESTION BANK I :
Unit – I
Q1.Explain Newton-Rapson method.
Q2.write an algorithm for Newton-Rapson method.
Q3.Using Newton-Rapson method find,the real root of equation xlog10x=1.2
Related : Raisoni College Of Engineering Geotechnical Engineering B.E Question Bank : www.pdfquestion.in/3300.html
Q4.Find the smallest positive root of x3-5x+3 by using Newton’s method.
Q5.solve the simultaneous non –linearequations
X2+y2=4,and xy=1
Using Newton rapson method.use starting values.
Q6.solve the following system of equations using Guass elimination method
5x+y+z=8
2x+4y+z=11
x+2y+5z=10
Q7.use Runge –Kutta method to solve dy/dx=xy, for x=1.4 where X0=1,Y0=2.
Q8.perform two iterations of Muller’s method to find a real root of the equations.
X3-x-1=0
Q9.find a real root ,correct up to three decimal places, of the equation XsinX-cosx=0 Using false position method.
Q10.perform five iterations of the Muller method to find the root of the eq. of the cosx-xex=0.
QUESTION BANK II :
Unit II
Q1.obtain the complex roots of the equations Z3+1=0,given that Z0=(0.25,0.25)
Q2.evaluate the integral
I= dxdy/x+y
Using the Trapezodial Rule with h=k=0.25
Q3.Define :
i)Truncation-off-error
ii)Rounding _off-error
iii)Algorithmic error
Q4.Solve the boundry value problem
Y”=x+y;Y(0)=y(1)=0
Q5.solve the equation Y1=x+y2,subject to the condition y=1,where x=0
Q6.Explain Guass_legendre Integration methods.
Q7.Define Newton –cotes methods and Gaussian integration methods.
Q8.Explain Taylor’s series method.Also give algorithm for Talor’s series .
Q9.solve the following by Choleskey method
10x+y+z=12
2x+10y+z=13
2x+2y+10z=14
Q10.find real root,correct up to three places of the equation
Ex-3×2+1=0
Using Newton rapson method
Q. 1 Design a isolated footing for a column carrying an ultimate load of 800 KN and ultimate moment of 100 KN about an axis bisecting the depth of column. The size of column is 300x600mm and it is reinforcement with 6 bars of 20mm, the SBC of soil is 250 KN/m2. Use M20 mix of concrete and Fe 415 steel.
Q. 2 Design a biaxially loaded RCC column subjected to Pu = 300KN, Mux = 45 KNm, Muy = 60 KNm with the size of column as 250x450mm. Use M15 concrete with Fe415 steel, the unsupported length of column is 3.5m with the effective cover of 40mm.
Q. 3 Design a biaxilly eccentrically loaded braced column from the following data .
1. factored axial load = 2000 KN=Pu
2. Mux at top = 220 KNm
3. Muy at top = 120 KNm.
4. Unsupported length = 8 m.
5. Effective length in longer direction =7.5m.
6. Effective length in shorter direction =6m.
7. Column size =400x600mm with conc. M25 and steel 415.
Q.4 Design a combined footing for column C1 and C2 For size 800X800mm and 600×600 mm carrying axial load of 1500KN and 1000 KN. The columns are space at 4m with SBC = 160KN/m2 use M20 and Fe415 . Width of footing is restricted to 2.2m.
Q.5 Design a biaxially loaded column of size 300x500mm carrying working load of 450 KN along with Mx = 30KNm, My = 20KNm with M15 conc. and Fe15 steel.
QUESTION BANK III :
Unit III
Q1.Explain Lagrange’s Bivariate Interpolation.
Q2.Explain the Hermite’s Interpolation formula.
Q3.Explain least square approximation.
Q4.Explain in short uniform approximation
Q5. Explain in short uniform polynomial approximation.
Q6.Define Newtons-cotes methods and Gaussions integration methods.
Q7.compare direct and iterative methods.
Q8.write an algorithm for solving linear simultaneos equations by Gauss-elimination method.
Q9.Explain Muller’s method.
Q10.Explain pivoting.
QUESTION BANK IV :
Unit IV
Q1.Explain Iterative method with an example.
Q2.Find a real root of the equations X3+X2-1=0 on the interval [0,1] with an accuracy of 10-4.
Q3.Explain Talor’s series methd.Also give algorithm for same.
Q4.Explain in short uniform app method.
Q5.Explain Lobatto integration methods
Q6.Explain least squares approximations.
Q7.Explain boundry value problems.
Q8.Explain initial value methods.
Q9.Explain Runge Kutta method.
Q10.Write an algorithm to implement second ordre Runge Kutta method.