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

Michael M. Tung (), Emilio Defez, Javier Ibáñez, José M. Alonso and Julia Real-Herráiz
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Michael M. Tung: Instituto de Matemática Multidisciplinar, Universitat Politècnica de València, Camino de Vera s/n, 46022 Valencia, Spain
Emilio Defez: Instituto de Matemática Multidisciplinar, Universitat Politècnica de València, Camino de Vera s/n, 46022 Valencia, Spain
Javier Ibáñez: Instituto de Matemática Multidisciplinar, Universitat Politècnica de València, Camino de Vera s/n, 46022 Valencia, Spain
José M. Alonso: Instituto de Instrumentación Para Imagen Molecular, Universitat Politècnica de València, Camino de Vera s/n, 46022 Valencia, Spain
Julia Real-Herráiz: Instituto de Matemática Multidisciplinar, Universitat Politècnica de València, Camino de Vera s/n, 46022 Valencia, Spain

Mathematics, 2022, vol. 10, issue 16, 1-18

Abstract: 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.

Keywords: matrix differential equations; higher-order matrix splines; numerical algorithms (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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