关键词: 克希荷夫变换, 边界元方法, 选代法, 瞬态热传导方程

Abstract: In this paper, Kirchhof's transform is employed to convert time dependent heat conduction problems involving varing material properties and mixed and nonlinear radiation boundary condictions into a linear one. Appling weighted residual method to transform the problem in boundary integral equation. Discretization of this equation gives a system of algebraic equations with linear matrix and nonlinear right band sides. Such set of equations can be solved itera-tively. The two dimension linear-nonlinear transient temperature field analysis program is developed, and several numerical examples are computed in the paper.

Key words: Kirchhof's transform, boundary element method, iterative process, heat diffusion equation