Numerical solutions of matrix differential models using cubic matrix splines II

نویسندگان

  • Emilio Defez
  • Antonio Hervás
  • L. Soler
  • M. M. Tung
چکیده

This paper presents the non-linear generalization of a previous work on matrix differential models [1]. It focusses on the construction of approximate solutions of first-order matrix differential equations Y ′ (x) = f (x,Y (x)) using matrix-cubic splines. An estimation of the approximation error, an algorithm for its implementation and illustrative examples for Sylvester and Riccati matrix differential equations are given.

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عنوان ژورنال:
  • Mathematical and Computer Modelling

دوره 46  شماره 

صفحات  -

تاریخ انتشار 2007