Numerical solutions of matrix differential models using cubic matrix splines II

Authors:
E. Defez;A. HerváS;L. Soler;M. M. Tung
Affiliations:
Instituto de Matemática Multidisciplinar, Universidad Politécnica de Valencia, Spain;Instituto de Matemática Multidisciplinar, Universidad Politécnica de Valencia, Spain;Instituto de Matemática Multidisciplinar, Universidad Politécnica de Valencia, Spain;Instituto de Matemática Multidisciplinar, Universidad Politécnica de Valencia, Spain
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2007

Citing 3
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Cubic splines method for a system of third-order boundary value problems

Applied Mathematics and Computation
Numerical solution ofmatrix differential models using cubic matrix splines

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Chebyshev rational matrix approximation with a priori error bounds for linear and Riccati matrix equations

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

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Abstract

This paper presents the non-linear generalization of a previous work on matrix differential models [E. Defez, L. Soler, A. Hervas, C. Santamaria, Numerical solutions of matrix differential models using cubic matrix splines, Comput. Math. Appl. 50 (2005) 693-699]. It focuses 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.