Understanding Partial Differential Equations
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چکیده
In this paper, we present "a posteriori" analysis of the fundamental concepts involved in the modelling of problems of mathematical physics by Partial Differential Equations (PDEs). Our aim is to improve our students' understanding of PDEs when applied to an engineering problem, from a completely qualitative point of view. They should be able to understand the deep meaning of any Laplacian, curl, divergence, or gradient operator, as well as other differential terms, when appearing in any particular equation, besides its usefulness to model reality. Index Terms Partial differential equation, modelling, Laplacian, divergence, curl.
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