Fokas Method for the Heat Equation on Metric Graphs
- 作者: Sobirov Z.A.1, Eshimbetov M.R.1
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隶属关系:
- National University of Uzbekistan named after M. Ulugbek
- 期: 卷 67, 编号 4 (2021): Science — Technology — Education — Mathematics — Medicine
- 页面: 766-782
- 栏目: Articles
- URL: https://journals.rcsi.science/2413-3639/article/view/327655
- DOI: https://doi.org/10.22363/2413-3639-2021-67-4-766-782
- ID: 327655
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详细
The paper presents a method for constructing solutions to initial-boundary value problems for the heat equation on simple metric graphs such as a star-shaped graph, a tree, and a triangle with three converging edges. The solutions to the problems are constructed by the so-called Fokas method, which is a generalization of the Fourier transform method. In this case, the problem is reduced to a system of algebraic equations for the Fourier transform of the unknown values of the solution at the vertices of the graph.
作者简介
Z. Sobirov
National University of Uzbekistan named after M. Ulugbek
编辑信件的主要联系方式.
Email: z.sobirov@nuu.uz
Tashkent, Uzbekistan
M. Eshimbetov
National University of Uzbekistan named after M. Ulugbek
Email: mr.eshimbetov92@gmail.com
Tashkent, Uzbekistan
参考
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