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

Mathematics ◽  
2021 ◽  
Vol 9 (18) ◽  
pp. 2262
Author(s):  
Emilio Defez ◽  
Javier Ibáñez ◽  
José M. Alonso ◽  
Michael M. Tung ◽  
Teresa Real-Herráiz
Keyword(s):  
Differential Equations ◽  
Numerical Test ◽  
Test Problems ◽  
Science And Engineering ◽  
Third Order ◽  
Differential Problem ◽  
Order Matrix ◽  
Engineering Problems ◽  
Matrix Differential Equations ◽  
Matrix Differential

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.

MATLAB in Engineering Education

2001 ◽  
Author(s):  
M. H. Alimi ◽  
M. Mahinfalah ◽  
G. H. Nazari
Keyword(s):  
Problem Solving ◽  
Differential Equations ◽  
Engineering Education ◽  
Numerical Integration ◽  
Science And Engineering ◽  
Vibration Problem ◽  
Matrix Differential Equations ◽  
Matrix Differential

Abstract One of the most important aspects of engineering education is problem solving. This paper intends to show how MATLAB can be utilized to solve various problems in science and engineering. A simple vibration problem is solved using MATLAB’s ODE solver to illustrate the excellent capability of MATLAB in numerical integration of matrix differential equations.

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