On the Approximated Solution of a Special Type of Nonlinear Third-Order Matrix Ordinary Differential Problem

Matrix differential equations are at the heart of many science and engineering problems. In this paper, a procedure based on higher-order matrix splines is proposed to provide the approximated numerical solution of special nonlinear third-order matrix differential equations, having the form Y(3)(x)=...

Full description

Saved in:

Bibliographic Details
Published in:	Mathematics (Basel) Vol. 9; no. 18; p. 2262
Main Authors:	Defez, Emilio, Ibáñez, Javier, Alonso, José M., Tung, Michael M., Real-Herráiz, Teresa
Format:	Journal Article
Language:	English
Published:	Basel MDPI AG 01-09-2021
Subjects:	Algorithms Approximation Differential equations Food science higher-order matrix splines Ordinary differential equations third-order matrix differential equations
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	Matrix differential equations are at the heart of many science and engineering problems. In this paper, a procedure based on higher-order matrix splines is proposed to provide the approximated numerical solution of special nonlinear third-order matrix differential equations, having the form Y(3)(x)=f(x,Y(x)). Some numerical test problems are also included, whose solutions are computed by our method.
ISSN:	2227-7390 2227-7390
DOI:	10.3390/math9182262