Solving the Wave Equation on Discrete Time Scales
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914956780240896 |
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| author | Funk, Davis Tsikkou, Charis |
| author_facet | Funk, Davis Tsikkou, Charis |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_16424 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Solving the Wave Equation on Discrete Time Scales Funk, Davis Tsikkou, Charis Analysis of PDEs Complex Variables 39A14, 34N05, 35R07 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. |
| title | Solving the Wave Equation on Discrete Time Scales |
| topic | Analysis of PDEs Complex Variables 39A14, 34N05, 35R07 |
| url | https://arxiv.org/abs/2409.16424 |