Analytical approach to solving linear diffusion-advection-reaction equations with local and nonlocal boundary conditions

Title: Analytical approach to solving linear diffusion-advection-reaction equations with local and nonlocal boundary conditions
Creator: Rodrigo, M.; Thamwattana, N.
Relation: Mathematical Methods in the Applied Sciences Vol. 47, Issue 7, p. 6551-6573
Publisher Link: http://dx.doi.org/10.1002/mma.9937
Publisher: John Wiley & Sons
Resource Type: journal article
Date: 2024
Description: Initial–boundary value problems for a linear diffusion–advection–reaction equation are considered, with general nonhomogeneous linear boundary conditions and general linear nonlocal boundary conditions. Analytical solutions are obtained using an embedding method. The solutions are expressed in terms of time-varying functions that satisfy coupled linear Volterra integral equations of the first kind. A boundary element method is applied to numerically solve the integral equations. Three examples are given to demonstrate the accuracy of the numerical solutions when compared with the analytical solutions. The embedding method is applicable to problems with bounded and unbounded spatial domains.
Subject: analytical solution; diffusion-advection-reaction; initial-boundary value problem; nonlocal boundary condition; numerical solution; partial differential equation
Identifier: http://hdl.handle.net/1959.13/1501376
Identifier: uon:55132
Identifier: ISSN:0170-4214
Rights: x
Language: eng
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