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# Prof. Muhammad Saeed - PowerPoint PPT Presentation

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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Presentation Transcript

Using

MATLAB

Mathematical Models

• 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

• b. Probability to catch a train

• c. Hair Dresser’s problem

• d. Modeling a battle

Modeling & Simulations

• Deterministic Models

• 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

Modeling & Simulations