Here are some important studying material (Syllabus, Books, Lecture's notes, Old question, Numerical solution etc) on various subjects of 4th semester. These materials would be very useful for student, researcher, co-worker related to the field of Agricultural Engineering.
|
Subject:- Numerical Method (SH553) |
|
Exam |
Regular |
||
|
Level |
BE |
Full Marks |
80 |
|
Program |
B. Agri |
Pass mark |
32 |
|
Year/part |
II/II |
Time |
3 hrs |
Tribhuwan University Institute
of Engineering Examination
Control Division 2073 Bhadra
ü Candidates are required to give their answer in their
own words as far as practicable.
ü Attempt All
questions.
ü The figures in the margin indicate Full marks.
ü Assume suitable data if necessary.
1.
Discuss the
difference between absolute error and relative error with appropriate examples.
[4]
2.
Write an
algorithm of Secant method for finding a real root of a non linear equation.
[4]
3.
Find a real root
of the equation sinx=
correct up to
four decimal places using N-R method. What are the limitations of this method?
4.
Apply Gauss Seidal Iterative Method to solve the linear equations
correct to 2 decimal places. [8]
10x+y-z=11.19, x+10y+z=28.08,
-x+y+10z=35.61
5.
Find the dominant
Eigen value and the corresponding Eigen vector of the given matrix using power
method.
6.
What is the
practical significance of the least square method of curve fitting? Describe
the normal equations to fit a given set of data to a linear equation y=ax+b [2+6]
7.
Using stirling formula find 
, given;
8.
Estimate the
value of cos(1.74) from the following data: [4]
|
x |
1.7 |
1.74 |
1.78 |
1.82 |
1.86 |
|
Sin(x) |
0.9916 |
0.9857 |
0.9781 |
0.9691 |
0.9585 |
9.
Evaluate 
using the three
point Gaussian quadrature formula.
[6]
10.
Solve the
following simultaneous differential equation using Runge-Kutta
second order method at x=0.1 and 0.2 dy/dx =xz+1; dz/dx=-xy with initial conditions y(0)=0, z(0)=1 [6]
11.
Write a program
in any high level language (C/C++/FORTAN) to solve a first order initial value
problem using classical RK-4 Method. [6]
12.
Solve the
elliptic equation 
on the square mesh bounded by 
The boundary
values are u(x,0)=10, u(x,3)=90, 
and u(0,y)=70,
u(3,y)=0, 0<y<3
***
Source:- Department
of agricultural engineering, Technical support:- Paudelpadamprasad
|
Chapters
|
Hours
|
Marks
distribution*
|
|
1 & 2
|
9
|
16
|
|
3
|
8
|
16
|
|
4
|
8
|
16
|
|
5
|
6
|
10
|
|
6
|
6
|
10
|
|
7
|
8
|
12
|
|
Total
|
45
|
80
|