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In this work, we define a parabolic equation on digital spaces and study itsproperties. The equation can be used in investigation of mechanical,aerodynamic, structural and technological properties of a Moebius strip, whichis used as a basic element of a new configuration of an airplane wing.Condition for existence of exact solutions by a matrix method and a method ofseparation of variables are studied and determined. As examples, numericalsolutions on Moebius strip and projective plane are presented.

Parabolic equations on digital spaces. Solutions on the digital Moebius strip and the digital projective plane