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

被引：6
|
作者：
Wang, Xue [1 ]
Ang, Whye-Teong [1 ]
机构：
[1] Nanyang Technol Univ, Sch Mech & Aerosp Engn, Singapore 639798, Singapore
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2018年 / 321卷
关键词：
Complex variable boundary element method; Advection-diffusion-reaction equation; Boundary elements; Numerical method; COEFFICIENTS; CVBEM;
D O I：
10.1016/j.amc.2017.11.016
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. (c) 2017 Elsevier Inc. All rights reserved.
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页码：731 / 744
页数：14
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