Geodesic
Solution of differential equations with nonseparated multipoint and integral conditions
Sibirskij žurnal industrialʹnoj matematiki, Tome 15 (2012) no. 3, pp. 3-15.

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We propose a numerical method for solving systems of linear nonautonomous ordinary differential equations with nonseparated multipoint and integral conditions. The method is based on the operation of the convolution of the integral conditions into local ones, which allows us to reduce the solution of the original problem to the solution of a Cauchy problem for ordinary differential equations and for a system of algebraic linear equations. We prove the stability of the computational schemes. Many numerical experiments on specially constructed test problems with the use of the formulas and schemes for numerical solution are proposed in the article. The experimental results showed a sufficiently high efficiency of this approach.
Keywords: system of ordinary differential equations, nonseparated conditions, integral conditions, operation of successive shift.
Mots-clés : nonlocal multipoint conditions 
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V. M. Abdullaev. Solution of differential equations with nonseparated multipoint and integral conditions. Sibirskij žurnal industrialʹnoj matematiki, Tome 15 (2012) no. 3, pp. 3-15. http://geodesic.mathdoc.fr/item/SJIM_2012_15_3_a0/

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