L-T-P: 0-0-3 | Credits: 2
Prerequisites:
- Ordinary Differential Equations
- Partial Differential Equations
- Mathematical Modeling
- Numerical simulation of simple one-variable population models and continuous growth models.
- Simulations of delay models and age distribution models.
- Linear stability analysis of nonlinear systems.
[2 Labs]
- Simulation of Predator–Prey Models: Lotka–Volterra Systems.
- Complexity and stability analysis of predator–prey models with limit cycles.
- Periodic behavior and parameter domains of stability in competition models.
[2 Labs]
- Simulation of epidemic models: SIS, SIR Epidemics, and SIR Endemics in MATLAB.
- Tumor models: Simulation of tumor spread and invasion in the human brain.
- Numerical computation for different treatment scenarios.
[2 Labs]
- Linear elasticity problems and Hooke’s Law.
- 2D Inviscid flow models: Simulation of streamlines, streaklines, and pathlines.
- Viscous flow models: Navier-Stokes Flow, Newtonian and Non-Newtonian flow through pipes (Hagen-Poiseuille flow, Couette flow).
[5 Labs]
- Chemical reactions and the Mass Action Law.
- Kinetic reactions: 0th, 1st, and nth order.
- Convection-reaction-diffusion models.
- Heat conduction and solute dispersion.
- Exact solutions of convection-diffusion-reaction models.
[2 Labs]
- C. Eck, H. Garcke, and P. Knabner: Mathematical Modeling, Springer, 2017.
- R. Temam and A.M. Miranville: Mathematical Modelling in Continuum Mechanics, Cambridge University Press, 2001.
- J.D. Murray: Mathematical Biology Vol. I & II.
- A. Friedman and C. Chou: Introduction to Mathematical Biology.
Clone this repository:
git clone https://github.com/Samya-S/Modeling-and-Simulation-Lab.gitThis project is licensed under the MIT License - see the LICENSE file for details.