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

被引：1
|
作者：
Defez, Emilio [1 ]
Ibanez, Javier [2 ]
Alonso, Jose M. [2 ]
Tung, Michael M. [1 ]
Real-Herraiz, Teresa [1 ]
机构：
[1] Univ Politecn Valencia, Inst Matemat Multidisciplinar, Camino Vera S-N, Valencia 46022, Spain
[2] Univ Politecn Valencia, Inst Instrumentac Imagen Mol, Camino Vera S-N, Valencia 46022, Spain
来源：
MATHEMATICS | 2021年 / 9卷 / 18期
关键词：
higher-order matrix splines; third-order matrix differential equations; RUNGE-KUTTA TYPE; EQUATION; Y'''; ODE;
D O I：
10.3390/math9182262
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页数：17
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