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In mathematical modeling of a process, which option is not a characteristic of an analytical solution?

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+1 vote
in Finite Element Method by (110k points)
In mathematical modeling of a process, which option is not a characteristic of an analytical solution?

(a) Mathematical equations are used to describe a process

(b) Most practical problems cannot be solved

(c) Exact information on the quantities of interest is obtained

(d) Finite element method is used

The question was posed to me during an internship interview.

The query is from Modelling Considerations in section Interpolation Functions, Numerical Integration and Modelling Considerations of Finite Element Method

1 Answer

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Best answer
Right option is (d) Finite element method is used

Best explanation: In the development of a mathematical model, we derive the mathematical relationships governing a system. The mathematical model is often in the form of differential equations. If the relationships are simple, it is possible to obtain exact information on the quantities of interest, this is known as the analytical solution. The finite element method is not used in an analytical solution. Most practical problems are too complicated to allow analytical solutions.

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