Fokas method for the heat equation on metric graphs

DOI10.1007/S10958-024-06936-1OpenAlexW4391174050WikidataQ129522729 ScholiaQ129522729MaRDI QIDQ6192017

Mardonbek R. Eshimbetov, Unnamed Author

Publication date: 12 February 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-024-06936-1

zbMATH Keywords

heat equationinitial-boundary value problemmetric graphFokas method

Mathematics Subject Classification ID

Graph theory (05Cxx) Partial differential equations of mathematical physics and other areas of application (35Qxx) General mathematical topics and methods in quantum theory (81Qxx)

Cites Work

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• Eigenfunction statistics on quantum graphs
• Multilayer diffusion in a composite medium with imperfect contact
• A general approximation of quantum graph vertex couplings by scaled Schrödinger operators on thin branched manifolds
• Heat equation on a network using the Fokas method
• A Unified Approach to Boundary Value Problems
• The equation of heat conduction on graphs
• A unified transform method for solving linear and certain nonlinear PDEs
• A numerical implementation of the unified Fokas transform for evolution problems on a finite interval
• An elementary introduction to quantum graphs
• Unified Transform method for the Schr¨odinger Equation on a Simple Metric Graph

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