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Prof. Muhammad Saeed

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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  1. Mathematical Modeling and Simulation Using MATLAB Mathematical Models Prof. Muhammad Saeed

  2. 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

  3. 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

  4. 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

  5. END Modeling & Simulations

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