Heat equation on a network using the Fokas method
From MaRDI portal
Publication:3448394
DOI10.1088/1751-8113/48/33/335001zbMath1326.80011arXiv1503.05228OpenAlexW1892749032MaRDI QIDQ3448394
Natalie E. Sheils, David Andrew Smith
Publication date: 23 October 2015
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1503.05228
diffusion equationpartial differential equationinterface problemFokas methodunified transform method
Enumeration in graph theory (05C30) PDEs in connection with classical thermodynamics and heat transfer (35Q79)
Related Items (14)
The time-dependent Schrödinger equation with piecewise constant potentials ⋮ Linear evolution equations on the half-line with dynamic boundary conditions ⋮ The linear KdV equation with an interface ⋮ On multilayer reaction-diffusion problems: a semigroup approach, Part I ⋮ Boundary behavior of the solution to the linear Korteweg‐De Vries equation on the half line ⋮ Fokas method for the heat equation on metric graphs ⋮ The diffusion equation with nonlocal data ⋮ Multilayer diffusion in a composite medium with imperfect contact ⋮ Evolution partial differential equations with discontinuous data ⋮ Initial-boundary value problems for a reaction-diffusion equation ⋮ Fokas diagonalization of piecewise constant coefficient linear differential operators on finite intervals and networks ⋮ Unified Transform method for the Schr¨odinger Equation on a Simple Metric Graph ⋮ Heat conduction on the ring: interface problems with periodic boundary conditions ⋮ Solution to the 1D Stefan problem using the unified transform method
This page was built for publication: Heat equation on a network using the Fokas method