A complex variable boundary element method for solving a steady-state advection–diffusion–reaction equation

Xue Wang and Whye-Teong Ang

Applied Mathematics and Computation, 2018, vol. 321, issue C, 731-744

Abstract: An accurate complex variable boundary element method is proposed for the numerical solution of two-dimensional boundary value problems governed by a steady-state advection–diffusion–reaction equation. With the aid of the Cauchy integral formulae, the task of constructing a complex function which gives the solution of the boundary value problem under consideration is reduced to solving a system of linear algebraic equations. The method is applied to solve several specific problems which have exact solutions in closed form and a problem of practical interest in engineering.

Keywords: Complex variable boundary element method; Advection–diffusion–reaction equation; Boundary elements; Numerical method (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:321:y:2018:i:c:p:731-744

DOI: 10.1016/j.amc.2017.11.016

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