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Modeling and Simulation (Optional Paper) [1]

Paper Code: 
MAT 424
Credits: 
5
Contact Hours: 
75.00
Max. Marks: 
100.00
Unit I: 
I
15.00
Introduction to modelling and simulation. Definition of System, classification of systems, classification and limitations of mathematical models and its relation to simulation, Methodology of model building
 
Unit II: 
II
15.00
Modelling through differential equation: linear growth and decay models, non linear growth and decay models, Logistic Model, Basic Model relevant to Population dynamics, Modelling through LPP. 
 
Unit III: 
III
15.00

Compartment models. :  One- Compartment models and Two- Compartment models. Equilibrium solution, Stability analysis, model validity & verification of models (Model V&V)

Unit IV: 
IV
15.00
Ecology, Environment Biology through ordinary differential equation, Partial differential equation and Differential equations.
 
Unit V: 
V
15.00
Basic concepts of simulation languages, overview of numerical methods used for continuous simulation, Stochastic models, Monte Carlo methods.
 
Essential Readings: 
  1. D. N. P. Murthy, N. W. Page and E. Y. Rodin, Mathematical Modeling, Pergamon Press. 
  2. J. N. Kapoor, Mathematical Modeling, Wiley Estern Ltd. 
  3. P. Fishwick: Simulation Model Design and Execution, PHI, 1995, ISBN 0-13-098609-7 
  4. A. M. Law, W. D. Kelton: Simulation Modeling and Analysis, McGraw-Hill, 1991, ISBN 0-07-100803-9 
  5. J. A. Payne, Introduction to Simulation, Programming Techniques and Methods of Analysis, Tata McGraw Hill Publishing Co. Ltd. 
  6. F. Charlton, Ordinary Differential and Differential equation, Van Nostarnd.
  7. V.P. Singh: System Modelling & Simulation, New Age International Publishers.
 
Academic Year: 
2014-2015 [2]

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[1] https://maths.iisuniv.ac.in/courses/subjects/modeling-and-simulation-optional-paper-4
[2] https://maths.iisuniv.ac.in/academic-year/2014-2015