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SOLUTION OF Partial Differential Equations (PDEs)

1 SOLUTION OFPartial Differential Equations (PDEs) Mathematics is the Language of SciencePDEs are the expression of processes that occur across time & space: (x,t), (x,y), (x,y,z), or (x,y,z,t)2 Partial Differential Equations (PDE's)A PDEis an equation which includes derivatives of an unknown function with respect to 2 or moreindependentvariables3 Partial Differential Equations (PDE's)PDE's describe the behavior of many engineering phenomena: Wave propagation Fluid flow (air or liquid)Air around wings, helicopter blade, atmosphereWater in pipes or porous mediaMaterial transport and diffusion in air or waterWeather: large system of coupled PDE's for momentum, pressure, moisture, heat.

Partial Differential Equations (PDE's) PDE's describe the behavior of many engineering phenomena: – Wave propagation – Fluid flow (air or liquid) Air around wings, helicopter blade, atmosphere Water in pipes or porous media Material transport and diffusion in air or water Weather: large system of coupled PDE's for momentum,

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