Docsity
Docsity
Prepare for your exams
Prepare for your exams

Study with the several resources on Docsity

Earn points to download
Earn points to download

Earn points by helping other students or get them with a premium plan

Guidelines and tips
Guidelines and tips
Sell on Docsity
Sell on Docsity
Docsity AI
Docsity AI
Log inSign up

Prepare for your exams

Study with the several resources on Docsity

Find documents

Prepare for your exams with the study notes shared by other students like you on Docsity

Search for your university

Find the specific documents for your university's exams

Docsity AINEW

Summarize your documents, ask them questions, convert them into quizzes and concept maps

Explore questions

Clear up your doubts by reading the answers to questions asked by your fellow students

Earn points to download

Earn points by helping other students or get them with a premium plan

Share documents
download point icon20 Points

For each uploaded document

Answer questions
download point icon5 Points

For each given answer (max 1 per day)

All the ways to get free points
Get points immediately

Choose a premium plan with all the points you need

Study Opportunities

Choose your next study program

Get in touch with the best universities in the world. Search through thousands of universities and official partners

Community

Ask the community

Ask the community for help and clear up your study doubts

Free resources

Our save-the-student-ebooks!

Download our free guides on studying techniques, anxiety management strategies, and thesis advice from Docsity tutors

Grid Points - Computing and Numerical Methods - Exam, Exams of Mathematical Methods for Numerical Analysis and Optimization

Baddi University of Emerging Sciences and TechnologiesMathematical Methods for Numerical Analysis and Optimization

Main points of this exam paper are: Grid Points, Temperature Distributiona, Gauss-Seidel Method Suffices, Boundary Conditions, Finite Difference, Multi Step Methods

Typology: Exams

2012/2013

Uploaded on 04/13/2013

pannaaaa
pannaaaa 🇮🇳

4.8

(6)

68 documents

1 / 3

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
Page 1 of 3
CORK INSTITUTE OF TECHNOLOGY
INSTITIÚID TEICNEOLAÍOCHTA CHORCAÍ
Autumn Examinations 2008/09
Module Title: Computing and Numerical Methods II CA
Module Code: MATH 7016
School: Mechanical & Process Engineering
Programme Title: Bachelor of Engineering (Hons) in Mechanical Engineering – Stage 2
Programme Code: EMECH_8_Y2
External Examiner(s): Dr P Robinson
Internal Examiner(s): Dr R Sheehy
Instructions: Answer ALL questions.
Duration: 2 Hours
Sitting: Autumn 2009
Requirements for this examination:
Note to Candidates: Please check the Programme Title and the Module Title to ensure that you have received the
correct examination paper.
If in doubt please contact an Invigilator.
pf3

Partial preview of the text

Download Grid Points - Computing and Numerical Methods - Exam and more Exams Mathematical Methods for Numerical Analysis and Optimization in PDF only on Docsity!

CORK INSTITUTE OF TECHNOLOGY

INSTITIÚID TEICNEOLAÍOCHTA CHORCAÍ

Autumn Examinations 2008/

Module Title: Computing and Numerical Methods II CA

Module Code: MATH 7016

School: Mechanical & Process Engineering

Programme Title: Bachelor of Engineering (Hons) in Mechanical Engineering – Stage 2

Programme Code: EMECH_8_Y

External Examiner(s): Dr P Robinson Internal Examiner(s): Dr R Sheehy

Instructions: Answer ALL questions.

Duration: 2 Hours

Sitting: Autumn 2009

Requirements for this examination:

Note to Candidates: Please check the Programme Title and the Module Title to ensure that you have received the correct examination paper. If in doubt please contact an Invigilator.

  1. (a) Obtain the temperature distributiona at 1cm grid points of a (4 x 4)cm square plate bounded by the lines x = ±2,y=± 2. Laplaces Equation: (^) XT YT 2 0

2 2

2 ∂∂ +∂∂ =

holds for all interior points and the boundary conditions are: T = -80 on the line y = 2 T = -40y on the lines x = ± 2 T = 240 + 80x for -2 ≤ x ≤0 on the line y = - T = 240 – 80x for 0 ≤ x ≤2 on the line y = - Find the temperatures at 9 interior grid points. (One iteration of Gauss-Seidel Method suffices). Use a suitable relaxation factor.

(b) Calculate the flux at any interior grid point. Plate aluminium k = 49.

  1. (a) Illustrate using a suitable example both an Initial Vale and Boundary Value Problem. Use the Shooting Method to solve the 1D steady state heat equation.

dxd^ T^2 h'^ (T^ a-T)^0

2

  • = For a rod of length 10m width: h’ = .01 m- Ta = 20 and boundary conditions: T(0) = 40 T (10) = 200.

(b) Use a Finite Difference Method with 4 interior nodes to solve the same problem as Part (a).