Differential Equations-review-journals

 The functions generally represent physical quantities in applications, the derivatives represent their rate of change and the differential equation defines a relationship between the two.  Hence differential equations play a prominent role in many disciplines including engineering , physics, economy, and biology. The analysis of differential equations consists mainly of researching their solutions (the set of functions that fulfill each equation) and their solutions' properties. Only the simplest differential equations can be solved by explicit formulas; however, it is possible to determine many properties of solutions of a given differential equation without precise computation. Solutions may be approximated numerically using computers sometimes where a closed-form expression for the solutions is not available.  Systems which have dynamic theory places  while many numerical methods have been developed to determine solutions with a given degree of accuracy. In 1822, in Théorie analytique de la chaleur (The Analytic Theory of Heat), Fourier published his research on heat flow in which he focused his argument on Newton 's cooling theorem, namely that the heat flow between two neighboring molecules is proportional to the incredibly small difference in their temperature. Fourier's formulation of his heat equation for conductive heat diffusion was included in this text. Every student in mathematical physics is taught this partial differential equation now.  

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