This paper studies a parabolic partial differential equation on digital spaces and digital n-dimensional manifolds, which are digital models of continuous n-manifolds. Conditions for the existence of solutions of equations are determined and investigated. Numerical solutions of the equation on a Klein bottle, a projective plane, a 4D sphere and a Moebius strip are presented.
| Published in | International Journal of Discrete Mathematics (Volume 1, Issue 1) |
| DOI | 10.11648/j.dmath.20160101.12 |
| Page(s) | 5-14 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2024. Published by Science Publishing Group |
Digital Surface, Graph, Parabolic PDE, Digital Topology, Moebius Strip, Klein Bottle, Projective Plane
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APA Style
Alexander V. Evako. (2016). Solution of a Parabolic Partial Differential Equation on Digital Spaces: A Klein Bottle, a Projective Plane, a 4D Sphere and a Moebius Band. International Journal of Discrete Mathematics, 1(1), 5-14. https://doi.org/10.11648/j.dmath.20160101.12
ACS Style
Alexander V. Evako. Solution of a Parabolic Partial Differential Equation on Digital Spaces: A Klein Bottle, a Projective Plane, a 4D Sphere and a Moebius Band. Int. J. Discrete Math. 2016, 1(1), 5-14. doi: 10.11648/j.dmath.20160101.12
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Download@article{10.11648/j.dmath.20160101.12,
author = {Alexander V. Evako},
title = {Solution of a Parabolic Partial Differential Equation on Digital Spaces: A Klein Bottle, a Projective Plane, a 4D Sphere and a Moebius Band},
journal = {International Journal of Discrete Mathematics},
volume = {1},
number = {1},
pages = {5-14},
doi = {10.11648/j.dmath.20160101.12},
url = {https://doi.org/10.11648/j.dmath.20160101.12},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.dmath.20160101.12},
abstract = {This paper studies a parabolic partial differential equation on digital spaces and digital n-dimensional manifolds, which are digital models of continuous n-manifolds. Conditions for the existence of solutions of equations are determined and investigated. Numerical solutions of the equation on a Klein bottle, a projective plane, a 4D sphere and a Moebius strip are presented.},
year = {2016}
}
TY - JOUR T1 - Solution of a Parabolic Partial Differential Equation on Digital Spaces: A Klein Bottle, a Projective Plane, a 4D Sphere and a Moebius Band AU - Alexander V. Evako Y1 - 2016/12/27 PY - 2016 N1 - https://doi.org/10.11648/j.dmath.20160101.12 DO - 10.11648/j.dmath.20160101.12 T2 - International Journal of Discrete Mathematics JF - International Journal of Discrete Mathematics JO - International Journal of Discrete Mathematics SP - 5 EP - 14 PB - Science Publishing Group SN - 2578-9252 UR - https://doi.org/10.11648/j.dmath.20160101.12 AB - This paper studies a parabolic partial differential equation on digital spaces and digital n-dimensional manifolds, which are digital models of continuous n-manifolds. Conditions for the existence of solutions of equations are determined and investigated. Numerical solutions of the equation on a Klein bottle, a projective plane, a 4D sphere and a Moebius strip are presented. VL - 1 IS - 1 ER -
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