Parabolic equations on digital spaces. Solutions on the digital Moebius strip and the digital projective plane
نویسنده
چکیده
In this work, we define a parabolic equation on digital spaces and study its properties. The equation can be used in investigation of mechanical, aerodynamic, structural and technological properties of a Moebius strip, which is 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 of separation of variables are studied and determined. As examples, numerical solutions on Moebius strip and projective plane are presented.
منابع مشابه
Structure of a Parabolic Partial Differential Equation on Graphs and Digital spaces. Solution of PDE on Digital Spaces: a Klein Bottle, a Projective Plane, a 4D Sphere and a Moebius Band
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ورودعنوان ژورنال:
- CoRR
دوره abs/1507.08109 شماره
صفحات -
تاریخ انتشار 2015