Numerical Analysis-Summation Formula (ISS Statistics Paper I (Old Subjective Pattern)): Questions 1 - 3 of 3

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Question number: 1

» Numerical Analysis » Summation Formula » Euler-Maclaurin's

Appeared in Year: 2015

Essay Question▾

Describe in Detail

By using Euler-Maclaurin formula, find the sum

1512+1532++1992

Explanation

The Euler-Maclaurin formula is

k=ab1f(k)=abf(x)dx12{f(b)f(a)}+r=1mB2r2r… (229 more words) …

Question number: 2

» Numerical Analysis » Summation Formula » Euler-Maclaurin's

Appeared in Year: 2014

Essay Question▾

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Using Euler’s method, compute the values of y correct upto 4 places of decimal for the differential equation dydx=x+y with initial condition x 0 = 0, y 0 = 1, taking h = 0.05.

Explanation

The given differential equation is

dydx=x+y=f(x,y)

with initial condition x 0 = 0, y 0 = 1, taking h = 0.05.

Using Euler’s method,

yn+1=yn+hf(x… (226 more words) …

Question number: 3

» Numerical Analysis » Summation Formula » Euler-Maclaurin's

Appeared in Year: 2013

Essay Question▾

Describe in Detail

Solve the equation:

dydx=1y,y=0whenx=0

Use Euler algorithm and tabulate the solution at x = 0.1, 0.2, 0.3.

Explanation

The given differential equation is

dydx=1y=f(x,y)

with initial condition x 0 = 0, y 0 = 0

Using Euler, s method,

yn+1=yn+hf(xn,y… (165 more words) …

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