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Many physical processes of engineering interest can be modelled by the convection-diffusion equation, such as the transport and dispersion of pollutants in ground and surface water, diffusion in semiconductor devices, travelling magnetic fields and magnetohydrodynamics, etc. In the field of heat transfer, we can mention the problems of crystal growth, laser-assisted surface hardening, metal cutting, casting and forming, and others. A special case is the telegraph equation, used to model heat conduction for very short times, taking into account a finite thermal propagation speed [1]. |
