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 giv...
| Main Authors: | , |
|---|---|
| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2019
|
| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/91755 http://hdl.handle.net/10220/48511 |
| _version_ | 1826127880069840896 |
|---|---|
| author | Wang, Xue Ang, Whye-Teong |
| author2 | School of Mechanical and Aerospace Engineering |
| author_facet | School of Mechanical and Aerospace Engineering Wang, Xue Ang, Whye-Teong |
| author_sort | Wang, Xue |
| collection | NTU |
| 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. |
| first_indexed | 2024-10-01T07:16:05Z |
| format | Journal Article |
| id | ntu-10356/91755 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T07:16:05Z |
| publishDate | 2019 |
| record_format | dspace |
| spelling | ntu-10356/917552023-03-04T17:13:35Z A complex variable boundary element method for solving a steady-state advection–diffusion–reaction equation Wang, Xue Ang, Whye-Teong School of Mechanical and Aerospace Engineering Advection–diffusion–reaction Equation Complex Variable Boundary Element Method DRNTU::Engineering::Mechanical engineering 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 2019-05-31T06:34:15Z 2019-12-06T18:11:26Z 2019-05-31T06:34:15Z 2019-12-06T18:11:26Z 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/10356/91755 http://hdl.handle.net/10220/48511 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 |
| spellingShingle | Advection–diffusion–reaction Equation Complex Variable Boundary Element Method DRNTU::Engineering::Mechanical engineering Wang, Xue Ang, Whye-Teong A complex variable boundary element method for solving a steady-state advection–diffusion–reaction equation |
| title | 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_short | 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 |
| topic | Advection–diffusion–reaction Equation Complex Variable Boundary Element Method DRNTU::Engineering::Mechanical engineering |
| url | https://hdl.handle.net/10356/91755 http://hdl.handle.net/10220/48511 |
| work_keys_str_mv | AT wangxue acomplexvariableboundaryelementmethodforsolvingasteadystateadvectiondiffusionreactionequation AT angwhyeteong acomplexvariableboundaryelementmethodforsolvingasteadystateadvectiondiffusionreactionequation AT wangxue complexvariableboundaryelementmethodforsolvingasteadystateadvectiondiffusionreactionequation AT angwhyeteong complexvariableboundaryelementmethodforsolvingasteadystateadvectiondiffusionreactionequation |