Dual reciprocity boundary element analysis of nonlinear diffusion: temporal discretization

This article presents an application of higher order time integration schem es in the dual reciprocity boundary element analysis of nonlinear transient diffusion problems involving nonlinear boundary conditions as well as temp erature-dependent material properties. Multistep theta-methods, cubic Hermi tian schemes and one-step least squares method have been considered. An err or estimate based on the conservation of thermal energy has been presented to assess the accuracy of the numerical solutions. Numerical results are pr esented for a set of representative test problems to demonstrate the useful ness of the presented time integration algorithms. (C) 1999 Elsevier Scienc e Ltd. All rights reserved.