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arXiv · 2409.16424

Solving the Wave Equation on Discrete Time Scales

Davis Funk·Charis Tsikkou
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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.

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Davis Funk, Charis Tsikkou. 2024-09-24. Solving the Wave Equation on Discrete Time Scales. https://arxiv.org/abs/2409.16424

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