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

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 gi...

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Main Authors: Ang, Whye-Teong, Wang, Xue
Other Authors: School of Mechanical and Aerospace Engineering
Format: Article
Language:English
Published: 2019
Subjects:
Online Access:https://hdl.handle.net/10356/85924
http://hdl.handle.net/10220/48896
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-859242023-03-04T17:16:01Z A complex variable boundary element method for solving a steady-state advection–diffusion–reaction equation Ang, Whye-Teong Wang, Xue School of Mechanical and Aerospace Engineering DRNTU::Engineering::Mechanical engineering Advection–diffusion–reaction Equation Complex Variable Boundary Element 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. Accepted version 2019-06-21T02:23:49Z 2019-12-06T16:12:49Z 2019-06-21T02:23:49Z 2019-12-06T16:12:49Z 2018 Journal Article Wang, X., & Ang, W.-T. (2018). A complex variable boundary element method for solving a steady-state advection–diffusion–reaction equation. Applied Mathematics and Computation, 321, 731-744. doi:10.1016/j.amc.2017.11.016. 0096-3003 https://hdl.handle.net/10356/85924 http://hdl.handle.net/10220/48896 10.1016/j.amc.2017.11.016 en Applied Mathematics and Computation © 2017 Elsevier Inc. All rights reserved. This paper was published in Applied Mathematics and Computation and is made available with permission of Elsevier Inc. 24 p. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic DRNTU::Engineering::Mechanical engineering
Advection–diffusion–reaction Equation
Complex Variable Boundary Element Method
spellingShingle DRNTU::Engineering::Mechanical engineering
Advection–diffusion–reaction Equation
Complex Variable Boundary Element Method
Ang, Whye-Teong
Wang, Xue
A complex variable boundary element method for solving a steady-state advection–diffusion–reaction equation
description 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.
author2 School of Mechanical and Aerospace Engineering
author_facet School of Mechanical and Aerospace Engineering
Ang, Whye-Teong
Wang, Xue
format Article
author Ang, Whye-Teong
Wang, Xue
author_sort Ang, Whye-Teong
title A complex variable boundary element method for solving a steady-state advection–diffusion–reaction equation
title_short A complex variable boundary element method for solving a steady-state advection–diffusion–reaction equation
title_full A complex variable boundary element method for solving a steady-state advection–diffusion–reaction equation
title_fullStr A complex variable boundary element method for solving a steady-state advection–diffusion–reaction equation
title_full_unstemmed A complex variable boundary element method for solving a steady-state advection–diffusion–reaction equation
title_sort complex variable boundary element method for solving a steady-state advection–diffusion–reaction equation
publishDate 2019
url https://hdl.handle.net/10356/85924
http://hdl.handle.net/10220/48896
_version_ 1759857497035767808