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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Prof. Muhammad Saeed

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Prof muhammad saeed

Mathematical Modeling and Simulation

Using

MATLAB

Mathematical Models

Prof. Muhammad Saeed


Prof muhammad saeed

  • Empirical Models

    • Curve Fitting:

    • 1. Lineary = mx+c

    • 2.Power

    • 3.Exponential y = aebx

    • 4.logarithmicy = 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


Prof muhammad saeed

  • 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


Prof muhammad saeed

  • 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


Prof muhammad saeed

END

Modeling & Simulations


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