This paper studies the structure of the hyperbolic partial differential equation on graphs and digital n-dimensional manifolds, which are digital models of continuous n-manifolds. Conditions for the existence of solutions are determined and investigated. Numerical solutions of the equation on graphs and digital n-manifolds are presented.
| Published in | International Journal of Discrete Mathematics (Volume 2, Issue 3) |
| DOI | 10.11648/j.dmath.20170203.15 |
| Page(s) | 88-94 |
| 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), 2017. Published by Science Publishing Group |
Hyperbolic PDE, Graph, Solution, Initial Value Problem, Digital Space, Digital Topology
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APA Style
Alexander V. Evako. (2017). Solution of the Hyperbolic Partial Differential Equation on Graphs and Digital Spaces: A Klein Bottle a Projective Plane and a 4D Sphere. International Journal of Discrete Mathematics, 2(3), 88-94. https://doi.org/10.11648/j.dmath.20170203.15
ACS Style
Alexander V. Evako. Solution of the Hyperbolic Partial Differential Equation on Graphs and Digital Spaces: A Klein Bottle a Projective Plane and a 4D Sphere. Int. J. Discrete Math. 2017, 2(3), 88-94. doi: 10.11648/j.dmath.20170203.15
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Download@article{10.11648/j.dmath.20170203.15,
author = {Alexander V. Evako},
title = {Solution of the Hyperbolic Partial Differential Equation on Graphs and Digital Spaces: A Klein Bottle a Projective Plane and a 4D Sphere},
journal = {International Journal of Discrete Mathematics},
volume = {2},
number = {3},
pages = {88-94},
doi = {10.11648/j.dmath.20170203.15},
url = {https://doi.org/10.11648/j.dmath.20170203.15},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.dmath.20170203.15},
abstract = {This paper studies the structure of the hyperbolic partial differential equation on graphs and digital n-dimensional manifolds, which are digital models of continuous n-manifolds. Conditions for the existence of solutions are determined and investigated. Numerical solutions of the equation on graphs and digital n-manifolds are presented.},
year = {2017}
}
TY - JOUR T1 - Solution of the Hyperbolic Partial Differential Equation on Graphs and Digital Spaces: A Klein Bottle a Projective Plane and a 4D Sphere AU - Alexander V. Evako Y1 - 2017/03/29 PY - 2017 N1 - https://doi.org/10.11648/j.dmath.20170203.15 DO - 10.11648/j.dmath.20170203.15 T2 - International Journal of Discrete Mathematics JF - International Journal of Discrete Mathematics JO - International Journal of Discrete Mathematics SP - 88 EP - 94 PB - Science Publishing Group SN - 2578-9252 UR - https://doi.org/10.11648/j.dmath.20170203.15 AB - This paper studies the structure of the hyperbolic partial differential equation on graphs and digital n-dimensional manifolds, which are digital models of continuous n-manifolds. Conditions for the existence of solutions are determined and investigated. Numerical solutions of the equation on graphs and digital n-manifolds are presented. VL - 2 IS - 3 ER -
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