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

Autor:	Teresa Real-Herráiz, Emilio Defez, Michael M. Tung, Javier Ibáñez, Jose M. Alonso
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	MECANICA DE LOS MEDIOS CONTINUOS Y TEORIA DE ESTRUCTURAS Differential equation General Mathematics Science and engineering Type (model theory) higher-order matrix splines Higher-order matrix splines Nonlinear system Matrix (mathematics) Third order Third-order matrix differential equations Computer Science (miscellaneous) CIENCIAS DE LA COMPUTACION E INTELIGENCIA ARTIFICIAL QA1-939 Applied mathematics third-order matrix differential equations Numerical tests MATEMATICA APLICADA Engineering (miscellaneous) Differential (mathematics) Mathematics
Zdroj:	Mathematics Volume 9 Issue 18 Mathematics, Vol 9, Iss 2262, p 2262 (2021) RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia instname
ISSN:	2227-7390
DOI:	10.3390/math9182262
Popis:	[EN] 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. This research was partially funded by the European Regional Development Fund (ERDF) and the Spanish Ministerio de Economia y Competitividad Grant TIN2017-89314-P
Databáze:	OpenAIRE
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