A hybrid analytical-numerical method for solving advection-dispersion problems on a half-line

•Solution of the advection-dispersion equation on the half-line via the Unified Transform (Fokas Method).•Combines complex analysis with numerics.•Compared to traditional approaches, the unified transform avoids the solution of ordinary differential equations.•Results are successfully compared to ot...

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Bibliographic Details
Published in:	International journal of heat and mass transfer Vol. 139; pp. 482 - 491
Main Authors:	de Barros, F.P.J., Colbrook, M.J., Fokas, A.S.
Format:	Journal Article
Language:	English
Published:	Oxford Elsevier Ltd 01.08.2019 Elsevier BV
Subjects:	Advection Advection-dispersion equation Analytical solution Complexity Computation Convergence Decay rate Dispersion Environmental flows Fokas method Integrals Numerical methods Ordinary differential equations Partial differential equations Transformations (mathematics) Unified transform Advection-dispersion equation Unified transform Fokas method Analytical solution Environmental flows
ISSN:	0017-9310, 1879-2189
Online Access:	Get full text
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