The boundary element method involving only boundary integrals and time dependment fundamental solutions is applied to solve a two-dimensional linea transient heat conduction problem. The numerical results show a good agreement between the numerical and the analytical solutions.

In this paper, an new and unite method about singular integral of boundary element ana-lysis for steady axisymmetric potential problem is presented. On this basis, an new simple method to solve above problem is developed. The results of numenrial analysis and application show that the method developed by author is successful.

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.