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

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  • Wang, Xue
  • Ang, Whye-Teong

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.

Suggested Citation

  • Wang, Xue & Ang, Whye-Teong, 2018. "A complex variable boundary element method for solving a steady-state advection–diffusion–reaction equation," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 731-744.
    • Handle: RePEc:eee:apmaco:v:321:y:2018:i:c:p:731-744
    DOI: 10.1016/j.amc.2017.11.016
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    Cited by:

    1. Mohammad Ivan Azis, 2023. "A NumericalInvestigation for a Class of Transient-State Variable Coefficient DCR Equations," Mathematics, MDPI, vol. 11(9), pages 1-16, April.

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