𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Numerical solutions of second-order matrix models using cubic-matrix splines

✍ Scribed by M.M. Tung; E. Defez; J. Sastre

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
564 KB
Volume
56
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

✦ Synopsis

a b s t r a c t

Many studies of mechanical systems in engineering are based on second-order matrix models. This work discusses the second-order generalization of previous research on matrix differential equations dealing with the construction of approximate solutions for the initial problem Y (x) = f (x, Y (x), Y (x)) using matrix-cubic splines without any dimensional increase. An estimation of the approximation error, the corresponding algorithm of our approach and some illustrative examples are presented.

πŸ“œ SIMILAR VOLUMES

Numerical solution ofmatrix differential
Numerical solution ofmatrix differential models using cubic matrix splines
✍ E. Defez; L. Soler; A. HervΓ‘s; C. SantamarΓ­a πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 366 KB

This paper deals with the construction of approximate solution of first-order matrix linear differential equations using matrix cubic spllnes. An estimation of the approximation error, an algorithm for its implementation and some illustrative examples are included.