A new time marching BE scheme for transient heat transfer with a thermal moving boundary

Abstract In this article, the BEM solution of the diffusion equation with a moving boundary is discussed. It is shown that the analytical time integration both for the 0- and 1-order modes lead to a special exponent–integral function and the reference time parameter τ will be important to the computational efficiency. In this article, the local time-dependent solution is used so that a series matrix computation can be reduced. Hence a new time marching scheme which is suitable to a moving boundary case is presented with some successful numerical tests.