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pro vyhledávání: '"Farkas, Matthew"'
Autor:
Farkas, Matthew, Deconinck, Bernard
We derive explicit solution representations for linear, dissipative, second-order Initial-Boundary Value Problems (IBVPs) with coefficients that are spatially varying, with linear, constant-coefficient, two-point boundary conditions. We accomplish th
Externí odkaz:
http://arxiv.org/abs/2405.20536
Autor:
Farkas, Matthew, Deconinck, Bernard
We consider the heat equation with spatially variable thermal conductivity and homogeneous Dirichlet boundary conditions. Using the Method of Fokas or Unified Transform Method, we derive solution representations as the limit of solutions of constant-
Externí odkaz:
http://arxiv.org/abs/2208.01764
We examine the analytic extension of solutions of linear, constant-coefficient initial-boundary value problems outside their spatial domain of definition. We use the Unified Transform Method or Method of Fokas, which gives a representation for soluti
Externí odkaz:
http://arxiv.org/abs/2206.09487
Autor:
Farkas, Matthew, Deconinck, Bernard
Publikováno v:
In Applied Mathematics Letters January 2023 135
Autor:
Farkas, Matthew1 (AUTHOR) matthfark@gmail.com, Cisneros, Jorge2 (AUTHOR), Deconinck, Bernard1 (AUTHOR)
Publikováno v:
IMA Journal of Applied Mathematics. Feb2023, Vol. 88 Issue 1, p152-212. 61p.