Radial integration boundary integral and integro-differential equation methods for two-dimensional heat conduction problems with variable coefficients |
| |
Authors: | M.A. AL-Jawary L.C. Wrobel |
| |
Affiliation: | School of Engineering and Design, Brunel University, Uxbridge UB8 3PH, UK |
| |
Abstract: | This paper presents new formulations of the radial integration boundary integral equation (RIBIE) and the radial integration boundary integro-differential equation (RIBIDE) methods for the numerical solution of two-dimensional heat conduction problems with variable coefficients. The methods use a specially constructed parametrix (Levi function) to reduce the boundary-value problem (BVP) to a boundary-domain integral equation (BDIE) or boundary-domain integro-differential equation (BDIDE). The radial integration method is then employed to convert the domain integrals arising in both BDIE and BDIDE methods into equivalent boundary integrals. The resulting formulations lead to pure boundary integral and integro-differential equations with no domain integrals. Numerical examples are presented for several simple problems, for which exact solutions are available, to demonstrate the efficiency of the proposed methods. |
| |
Keywords: | Mixed boundary-value problem Boundary integral equation method Boundary integro-differential equation method Variable coefficients Parametrix Radial integration method |
本文献已被 ScienceDirect 等数据库收录! |