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Old November 24th, 2012, 02:31 PM
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Default Re: ME Thermal (Pune university)

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ME Mech Pune University


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File Type: pdf ME Mech Pune University .pdf (136.9 KB, 105 views)
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Old October 3rd, 2015, 11:47 AM
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I want the syllabus of Numerical Methods in Thermal and Fluid Engineering of M.E. (Mechanical – Heat Power Engineering) of University of Pune so can you provide me?
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Old October 3rd, 2015, 11:47 AM
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Default Re: ME Thermal (Pune university)

Savitribai Phule Pune University is a university in western India, in the city of Pune. It was established in 1948 and is one of India's premier universities. It has been given the highest "A" rating by the National Assessment and Accreditation Council (NAAC)

PU M.E. (Mechanical – Heat Power Engineering) syllabus

Numerical Methods in Thermal and Fluid Engineering-


Lecture: 3 hrs/week
Paper: 100 Marks
Paper Duration: 3 hrs.

1. Linear Algebraic Equations:- Gauss – Elimination, Gauss – Seidel,
LU Decomposition.

2. Roots of equations: - Bisection Method, False position method, Newton – Raphson
Method, Muller’s method, Bairstow’s Method.

3. Curve fitting – Least square regression:-
i) Linear regression, multiple linear regressions, polynomial regression.
ii) Non linear regression – Gauss – Newton method, multiple non linear
regression.

4. Interpolation: - Newton’s Divided Difference, Lagrange’s Inverse, Spline,
Hermite Interpolation, Extrapolation technique of Richardson’s Gaunt.

5. Differentiation & Integration:- Divided difference formulae, Romberg integration,
Gauss quadrature for double & triple integration.

6. Eigen Values & Eigen Vectors of Matrices – Faddeev- Laeverrier’s method,
Power Method, Householder & Given’s method.

7. Ordinary differential equations:- Euler’s method, Heun’s method, Mid – point
method, Runge – Kutta methods, Multi step Methods - explicit Adams – Bashforth
technique & Implicit Adams – Moulton Technique, Adaptive RK method, Embedded
RK method, step size control. Higher order ODE – Shooting method. Non linear ODE
– Collocation technique.

8. Partial Differential Equations:- Solution of Parabolic and Hyperbolic equations –
Implicit & Explicit Schemes, ADI methods, Non linear parabolic equations-
Iteration method. Solution of elliptic equation – Jacobi method, Gauss – Seidel &
SOR method. Richardson method.
* Numerical methods should have orientation in thermal and fluid engineering
Laboratory Practice – Solve eight assignments based on each of the above mentioned
unit with programming.

References:-

1. Numerical Methods for Engineers, Steven C Chapra & Raymond P Canale, TMH,
Fifth Edition
2. Applied Numerical Methods, Alkis Constantinides, McGraw Hill
3. Numerical Solution of Differential Equations, M.K. Jain, 2nd Edition, Wiley Eastern.
4. Numerical methods for scientific and engineering computation, Jain, Iyangar,
Jain, New Age International Publishers.
5. Numerical method

Contact address

Savitribai Phule Pune University
Ganeshkhind
Pune, Maharashtra 411007

Map location

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