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Finite Element Method with Applications in Engineering by T. L. Eldho, Y. M. Desai

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1.2 MATHEMATICAL MODELLING OF ENGINEERING PROBLEMS

Mathematical modelling of an engineering problem is a process by which the problem is represented as it appears in the real world and interpreted in an abstract form. Depending on the modelling approach, different mathematical models are possible for tackling the same problem. Also, identical mathematical model may be used to tackle quite different physical situations.

Generally, basic elements of modelling can be represented by five components: state variables, external variables, mathematical equations, coefficients or parameters and universal constants. State variables describe the state of the system that is to be modelled. External variables, or the forcing functions, on the other hand, ...

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