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

[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 Defez Candel, E.; Ibáñez González, JJ.; Alonso Abalos, JM.; Tung, MM.; Real-Herraiz, TP. (2021). On the Approximated Solution of a Special Type of Nonlinear Third-Order Matrix Ordinary Differential Problem. Mathematics. 9(18):1-17. https://doi.org/10.3390/math9182262