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Explicit solution of time dependent diffusion problems in a semi-infinite medium.

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Publication:1609050
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DOI10.1016/S0898-1221(01)00280-2zbMath1258.35045OpenAlexW1993141122MaRDI QIDQ1609050

Jesabel Pérez Quiles, Lucas Jodar, Rafael-Jacinto Villanueva

Publication date: 15 August 2002

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(01)00280-2


zbMATH Keywords

Fourier transformsexplicit solutiontime dependent diffusion equation


Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Solutions to PDEs in closed form (35C05)


Related Items

A new extension of Hermite matrix polynomials and its applications ⋮ Exact and analytic-numerical solutions of lagging models of heat transfer in a semi-infinite medium



Cites Work

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  • Spectral analysis of a nonself-adjoint differential operator
  • The design of a variable-step integrator for the simulation of gas transmission networks
  • The Mathematics of Financial Derivatives
  • Exact solution of mixed problems for variable coefficient one-dimensional diffusion equation
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