1

GATE ME 2011

MCQ (Single Correct Answer)

+1

-0.3

The integral $$\,\int\limits_1^3 {{1 \over x}\,\,dx\,\,\,} $$ when evaluated by using simpson's $$1/{3^{rd}}$$ rule on two equal sub intervals each of length $$1,$$ equals to

2

GATE ME 2005

MCQ (Single Correct Answer)

+1

-0.3

Starting from $$\,{x_0} = 1,\,\,$$ one step of Newton - Raphson method in solving the equation $${x^3} + 3x - 7 = 0$$ gives the next value $${x_1}$$ as

3

GATE ME 1997

MCQ (Single Correct Answer)

+1

-0.3

The order of error in the simpson's rule for numerical integration with a step size $$h$$ is

4

GATE ME 1993

Fill in the Blanks

+1

-0

Given the differential equation $${y^1} = x - y$$ with initial condition $$y(0)=0.$$ The value of $$y(0.1)$$ calculated numerically upto the third place of decimal by the $${2^{nd}}$$ order Runge-Kutta method with step size $$h=0.1$$ is

Questions Asked from Numerical Methods (Marks 1)

Number in Brackets after Paper Indicates No. of Questions

GATE ME Subjects

Engineering Mechanics

Strength of Materials

Theory of Machines

Engineering Mathematics

Machine Design

Fluid Mechanics

Turbo Machinery

Heat Transfer

Thermodynamics

Production Engineering

Industrial Engineering

General Aptitude