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There are a vast majority of geometrical problems and thus, PDEs cannot be solved without analytical methods. So based on the discreditisation, an approximate equation can be constructed to figure out the flaws and engineering disadvantages in a mechanical structure.

There are a lot of mechanical and industrial terms used in the field of construction design to comprehensively understand and quantify the physical phenomena of a given substance. It can be structural or fluid behaviour, wave propagation, thermal support, growth of biological cells and many. However, it is necessary to use mathematics to determine all these circumstances.