Proceedings of CHT-17 ICHMT International Symposium on Advances in Computational Heat Transfer
DOI: 10.1615/ICHMT.2017.CHT-7
ISBN Print: 9781-56700-4618
ISSN: 2578-5486
K-DIMENSIONAL MATRICES IN NUMERICAL SOLUTION OF DIFFUSION PROBLEMS
pages 1203-1206
DOI: 10.1615/ICHMT.2017.CHT-7.1300
RÉSUMÉ
A generalization to N-dimensions of the tridiagonal matrix algorithm is proposed employing K-dimensional matrices. The correspondence between the spatial dimension of the problem and the dimension of this kind of matrix structure is shown. The proposed method allows to solve multidimensional problems for partial differential equations with a number of variables N greater than 4. The proposed approach extends the Thomas algorithm to any dimensions in the sense that the tridiagonal concept is generalized to a tridiagonal structured matrix where each of the matrix can be a matrix.