Solution of the Hyperbolic Partial Differential Equation on Graphs and Digital Spaces: A Klein Bottle a ProjectivePlane and a 4D Sphere

摘要

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.