Solving the Wave Equation on Discrete Time Scales

2024/09/24 by Funk, Davis, Tsikkou, Charis
#34N05 #35R07 #39A14 #Analysis of PDEs (math.AP) #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2409.16424

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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