Solving the Wave Equation on Discrete Time Scales
Analysis of PDEs
2024-09-26 v1 Complex Variables
Abstract
This paper presents a solution to an initial value problem for the 1-dimensional wave equation on time scales through the application of a Fourier transform and its inverse via contour integrals. The time scale of the spatial dimension is set to the integers and a broader class of discrete time scales, while the time dimension is set to the positive real numbers.
Keywords
Cite
@article{arxiv.2409.16424,
title = {Solving the Wave Equation on Discrete Time Scales},
author = {Davis Funk and Charis Tsikkou},
journal= {arXiv preprint arXiv:2409.16424},
year = {2024}
}
Comments
15 pages, 2 figures