Produce a 2/3 page explanation on
Applications of PDEs in Engineering,Science and Economics.
In your explanation you...
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Produce a 2/3 page explanation on
Applications of PDEs in Engineering,Science and Economics.
In your explanation you should give three detailed examples. Oneex-
ample should involve a PDE from an area of Engineering, oneexample
from Science and one from Economics. In at least one exampleyou
should discuss the solution to your PDE and how this haspractical
implications
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Partial differential equation models in the socioeconomic sciences Mathematical models based on partial differential equations PDEs have become an integral part of quantitative analysis in most branches of science and engineering recently expanding also towards biomedicine and socioeconomic sciences The application of PDEs in the latter is a promising field but widely quite open and leading to a variety of novel mathematical challenges Partial differential equations PDEs have been used since the times of Newton and Leibniz to model physical phenomena Famous examples are Maxwells formulation of the electrodynamical laws the Boltzmann equation for rarified gases Einsteins general relativity theory and Schrdingers formulation of quantum mechanics In the middle of the last century PDE modelling began to be applied to certain biological processes but only very recently was it realized that many socioeconomic processes can be very
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