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.

引用

页数：17

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