A Matrix Spline Method for a Class of Fourth-Order Ordinary Differential Problems

Autor: Michael M. Tung, Emilio Defez, Javier Ibáñez, José M. Alonso, Julia Real-Herráiz
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Mathematics, Vol 10, Iss 16, p 2826 (2022)
Druh dokumentu: article
ISSN: 2227-7390
DOI: 10.3390/math10162826
Popis: Differential matrix models provide an elementary blueprint for the adequate and efficient treatment of many important applications in science and engineering. In the present work, we suggest a procedure, extending our previous research results, to represent the solutions of nonlinear matrix differential problems of fourth order given in the form Y(4)(x)=f(x,Y(x)) in terms of higher-order matrix splines. The corresponding algorithm is explained, and some numerical examples for the illustration of the method are included.
Databáze: Directory of Open Access Journals
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