Simulation and modeling - Old Questions

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4.  Differentiate between analytical models and numerical models.

5 marks
Asked in 2070

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Analytical ModelNumerical Model
Analytical model is one which is solved by using the deductive reasoning of mathematical theory.Numerical model is the one which is solved by applying computational procedures.
Analytical model provide a direct solution and will result in exact solution if one exists.Numerical model often require many iterations to get true solution.
Analytical model is exact and gives exact solution. E.g. value of 1/2
Numerical model gives the approximate value or solution. E.g. PI=22/7 is approximate value.
Analytical models are time consuming and sometimes impossible.Mathematical models are less time consuming and possible for most cases.
This model is best for designing calculations, suit for checking calculation with certain limitation.This model is best for checking calculations, practically effective for designing calculation.
This model is not versatile & flexible .This model is versatile and flexible.
Need much work to be developed, but only simple software for application.Need expensive and complex software and hardware.