Mathematical Modeling and Simulation
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Mathematical Modeling and Simulation. Using MATLAB. Mathematical Models. Prof. Muhammad Saeed. Empirical Models Curve Fitting: 1. Linear y = mx+c 2. Power 3. Exponential y = ae bx 4. logarithmic y = a log(x) + b 5. Reciprocal Examples

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Mathematical Modeling and Simulation

Using

MATLAB

Mathematical Models

Prof. Muhammad Saeed


  • Empirical Models

    • Curve Fitting:

    • 1. Linear y = mx+c

    • 2. Power

    • 3. Exponential y = aebx

    • 4. logarithmic y = a log(x) + b

    • 5. Reciprocal

  • Examples

  • 1. Weight to Height Ratio BMI (Body Mass Index) for given data

    • Viscosity: To fit given data for the following mathematical relation

W=aHb

Modeling & Simulations


  • Stochastic Models

  • Monty Carlo Method.

  • 1. Random Numbers

  • 2. Calculation of Area, Integral etc.

  • 3. Examples

  • a. Vehicle-loading on a ferry

  • b. Probability to catch a train

  • c. Hair Dresser’s problem

  • d. Modeling a battle

Modeling & Simulations


  • Deterministic Models

  • 1. Blackbody Radiation

    • Population Growth with parameters

    • a. birth and death rates only

    • b. ‘a.’ and immigration and emigration

    • c. a., and resources

    • Prey and Predator

    • Two species competing with each other for resources.

    • 5. Modeling a battle

Modeling & Simulations


END

Modeling & Simulations


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