Numerical Analysis and Computer Programming-Numerical Methods [IFS (Forest Services) Mathematics]: Questions 1 - 7 of 18
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Question 1
Appeared in Year: 2014 (IAS)
Describe in Detail Subjective▾
Solve the system of equations
Using Gauss – Seidel iteration method (perform Three Iteration) (CS Paper 2)
EditExplanation
Given equation can be written as
… (650 more equations) …
Question 2
Appeared in Year: 2008 (IAS)
Describe in Detail Subjective▾
Apply Gauss Seidel Method to calculate from the system:
with initial value carry out computation for two iterations. (CS Paper 2)
EditExplanation
The given system is
According t…
… (546 more equations) …
Question 3
Appeared in Year: 2009 (IAS)
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Find the value of using Runge – Kutta forth order method with step size from the initial value problem
(CS Paper 2)
EditExplanation
We have,
Step (1) here,
… (250 more equations) …
Question 4
Appeared in Year: 2015 (IAS)
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Find the solution of the System
Using Gauss – Seidel Method (make Four Iteration) (CS Paper 2)
EditExplanation
The system of Equation is,
… (2266 more equations) …
Question 5
Appeared in Year: 2012 (IAS)
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Find at from the following data:
x: | 0.1 | 0.2 | 0.3 | 0.4 |
y: | 0.9975 | 0.9900 | 0.9776 | 0.9604 |
(CS Paper 2)
EditExplanation
The forward difference table is:
… (501 more equations) …
Question 6
Appeared in Year: 2014 (IAS)
Describe in Detail Subjective▾
Use Runge – Kutta formula of forth order to find the value of y at where , Take the Step length (CS Paper 2)
EditExplanation
We have
Step (1) Here,
… (738 more equations) …
Question 7
Appeared in Year: 2015 (IAS)
Describe in Detail Subjective▾
Find the Lagrange interpolation polynomial that fits the following data:
x: | -1 | 2 | 3 | 4 |
f (x) : | -1 | 11 | 31 | 69 |
Find (CS Paper 2)
EditExplanation
Here
And
… (75 more equations) …