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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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Fuzzy Differential Equations and Applications for Engineers and Scientists (Hardcover)
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Fuzzy Differential Equations and Applications for Engineers and Scientists (Hardcover)
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Differential equations play a vital role in the modeling of
physical and engineering problems, such as those in solid and fluid
mechanics, viscoelasticity, biology, physics, and many other areas.
In general, the parameters, variables and initial conditions within
a model are considered as being defined exactly. In reality there
may be only vague, imprecise or incomplete information about the
variables and parameters available. This can result from errors in
measurement, observation, or experimental data; application of
different operating conditions; or maintenance induced errors. To
overcome uncertainties or lack of precision, one can use a fuzzy
environment in parameters, variables and initial conditions in
place of exact (fixed) ones, by turning general differential
equations into Fuzzy Differential Equations ("FDEs"). In real
applications it can be complicated to obtain exact solution of
fuzzy differential equations due to complexities in fuzzy
arithmetic, creating the need for use of reliable and efficient
numerical techniques in the solution of fuzzy differential
equations. These include fuzzy ordinary and partial, fuzzy linear
and nonlinear, and fuzzy arbitrary order differential equations.
This unique work provides a new direction for the reader in the use
of basic concepts of fuzzy differential equations, solutions and
its applications. It can serve as an essential reference work for
students, scholars, practitioners, researchers and academicians in
engineering and science who need to model uncertain physical
problems.
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