New exact solutions to nonlinear diffusion equation that occurs in image processing
by Rafaa Chouder; Nouredine Benhamidouche
International Journal of Computing Science and Mathematics (IJCSM), Vol. 10, No. 4, 2019

Abstract: In this paper, we would like to seek the new exact solutions to nonlinear diffusion equation that occurs in image processing. This equation is called degenerate parabolic equation. The solutions which we seek are called 'travelling profiles solutions'. For that, we have used the 'travelling profiles method' in order to find, explicitly, new exact solutions to this equation under some conditions. An interesting particular case has been discussed, this case coincides with particular solutions called 'intermediate asymptotic solutions' used to study the contour enhancement in image processing.

Online publication date: Wed, 02-Oct-2019

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