A complex variable boundary element method for solving a steady-state advection–diffusion–reaction equation
| Autor: | Xue Wang, Whye-Teong Ang |
|---|---|
| Přispěvatelé: | School of Mechanical and Aerospace Engineering |
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Steady state
Applied Mathematics Numerical analysis 02 engineering and technology Function (mathematics) 01 natural sciences 010101 applied mathematics Engineering::Mechanical engineering [DRNTU] Computational Mathematics Algebraic equation 020303 mechanical engineering & transports 0203 mechanical engineering Applied mathematics Boundary value problem 0101 mathematics Boundary element method Cauchy's integral formula Advection–diffusion–reaction Equation Variable (mathematics) Mathematics Complex Variable Boundary Element Method |
| Popis: | 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 |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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