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)

Edit

Explanation

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)

Edit

Explanation

The given system is

According t…

… (546 more equations) …

Question 3

Appeared in Year: 2009 (IAS)

Describe in Detail Subjective▾

Find the value of using Runge – Kutta forth order method with step size from the initial value problem

(CS Paper 2)

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Explanation

We have,

Step (1) here,

… (250 more equations) …

Question 4

Appeared in Year: 2015 (IAS)

Describe in Detail Subjective▾

Find the solution of the System

Using Gauss – Seidel Method (make Four Iteration) (CS Paper 2)

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Explanation

The system of Equation is,

… (2266 more equations) …

Question 5

Appeared in Year: 2012 (IAS)

Describe in Detail Subjective▾

Find at from the following data:

Table Shows the Value of X and Y
x:0.10.20.30.4
y:0.99750.99000.97760.9604

(CS Paper 2)

Edit

Explanation

The forward difference table is:

Shows the Forward Difference Table

… (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)

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Explanation

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:

Table Shows the Value of X and F (X)
x:-1234
f (x) :-1113169

Find (CS Paper 2)

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Explanation

Here

And

… (75 more equations) …