Simulation is the process of mathematical modelling, performed on a computer machine, with purpose to predict the behaviour or result of real-world problem. Computer simulations are performed using computer programs that are both small, requiring less computation, or very large programs requiring hours and days to complete. The correctness of a mathematical model can be verified by comparing the outcomes of the simulation with real-world outcomes.
Simulation-Complete Process:
Conceptually we can divide the process of simulating a real-world problem into following steps:
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Definition:
The first step is the definition of the problem or the system that is related to the problem under consideration.
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Analysis:
This step involves the identification of the parts of the system that are relevant for the problem. It is a very time-consuming process that involves thorough evaluation of literature.
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Modelling:
After analysis a model is developed comprising of set of mathematical equation that represent the system and generate a certain outcome based on a particular input.
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Validation:
Once the model has been developed, the results of the simulated data are compared with experimental value. The validation of the model starts by comparing the differences between simulated and measured values.
Mathematical Simulation Software:
Some of the famous mathematical simulation software are as follows:
MATLAB:
Mathworks MATLAB is not just a simulation software but also a programming language for scientists and engineers to perform mathematical simulations. It allows plotting of functions and data, algorithm implementation, designing user-interactive interfaces and interfacing with other programs.
Mathematica:
Wolfram Mathematica is mathematical software that has built-in libraries for several areas of technical computing that allow solving equation, optimization, symbolic computation, plotting functions and a lot more.