This article is cited in 25 papers

On the numerical solution to loaded systems of ordinary differential equations with non-separated multipoint and integral conditions

K. R. Aida-zade^a, V. M. Abdullaev<sup>b

a</sup> Azerbaijan State Oil Academy, pr. Azadlyg 20, Baku, AZ1010, Azerbaijan
^b Institute of Cybernetics, National Academy of Sciences of Azerbaijan, ul. B. Vakhabzade 9, Baku, AZ1141, Azerbaijan

Abstract: We propose a numerical method of solving systems of linear non-autonomous ordinary loaded differential equations with non-separated multipoint and integral conditions. This method is based on the operation of convolution of integral conditions to local conditions. This approach allows reducing the solution to the original problem to solving the Cauchy problem with respect to a system of ordinary differential equations and to linear algebraic equations. Numerous computational experiments on several test problems with application of the formulas and schemes of the numerical solution have been carried out. The results of the experiments have shown a sufficiently high efficiency of the approach described.

Key words: ordinary loaded differential equations system, non-separated conditions, integral conditions, non-local multipoint conditions, sequential shift operation.

UDC: 519.621.2

Received: 18.01.2013
Revised: 29.03.2013

 English version: Numerical Analysis and Applications, 2014, 7:1, 1–14

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