RT Journal Article ID 47fbd90f5400a031 A1 Alves, Leonardo A1 Sphaier, Leandro Alcoforado A1 Cotta, Renato M. T1 ERROR ANALYSIS OF MIXED LUMPED-DIFFERENTIAL FORMULATIONS IN DIFFUSION PROBLEMS JF Hybrid Methods in Engineering JO HME YR 2000 FD 2000-12-01 VO 2 IS 4 OP 28 AB Mixed lumped-differential formulations for diffusion problems are formally analyzed, with particular emphasis on heat transfer applications The main interest in these formulations resides in the task of modeling problems, prior to the choice of solution strategies, trying to reduce, as much as possible, and within prescribed accuracy requirements, the number of dimensions of any particular partial differential problem. This article illustrates appropriate integration strategies developed within a symbolic computation environment, which are employed to deduce mathematical formulations of comparable simplicity and improved accuracy in comparison with the classical well—established lumping procedures. Besides, approximate error expressions, based on the known boundary and/or initial conditions of the solutions, are readily obtained, for both steady and transient states formulations. PB Begell House LK https://www.dl.begellhouse.com/journals/1a37c0433d303e8b,7a0dd8b40eaafd93,47fbd90f5400a031.html