Dua reciprocity boundary element analysis of nonlinear diffusion: temporal discretization

摘要

This article presents an application of higher order time integration schemas in the dual reciprocity boundary element analysis of nonlinear transient diffuison problems involving nonlinear boundary conditions as well as temperature-dependent material properties. Multistep θ-methods, cubic Hermitian schemes and one-step least squares method have been considered. an error estimate based on the conservation of Thelma energy ahs been presented to assess the accuracy of the numerical solutions. Numerical results are presented for a set representative test problems to demonstrate the usefulness of the presented time integration algorithms.