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

作者：Wang Xue; Ang Whye Teong^*

来源：Applied Mathematics and Computation, 2018, 321: 731-744.

DOI：10.1016/j.amc.2017.11.016

• Complex variable boundary element method
• Advection-diffusion-reaction equation
• Boundary elements
• Numerical method

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.

• 出版日期2018-3-15
• 单位南阳理工学院