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 Matem. Mod., 2007, Volume 19, Number 2, Pages 105–111 (Mi mm929)

New software for solving systems of nonlinear integro-differential equations for one-, two and three-dimensional initial-boundary value problems

N. G. Bandurin, V. A. Ignatiev

Volgograd State University of Architecture and Civil Engineering

Abstract: New computational software for solving non-rigid systems of nonlinear correct integro-differentialc equations of general type is presented. These equations in addition to regular derivatives and integrals may contain fractional derivatives and integrals. For different segments of the time axis the equations can be defined by different expressions provided that the order of the highest derivatives of unknown functions remains constant. To get the solution it is enough to enter the equation in the text form and the necessary data parameters of the problem. The solution can be obtained either in the text form or graphically. Six test problems demonstrate the abilities of the software developed by the authors.

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Citation: N. G. Bandurin, V. A. Ignatiev, “New software for solving systems of nonlinear integro-differential equations for one-, two and three-dimensional initial-boundary value problems”, Matem. Mod., 19:2 (2007), 105–111

Citation in format AMSBIB
\Bibitem{BanIgn07} \by N.~G.~Bandurin, V.~A.~Ignatiev \paper New software for solving systems of nonlinear integro-differential equations for one-, two and three-dimensional initial-boundary value problems \jour Matem. Mod. \yr 2007 \vol 19 \issue 2 \pages 105--111 \mathnet{http://mi.mathnet.ru/mm929} \zmath{https://zbmath.org/?q=an:1119.34303} 

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This publication is cited in the following articles:
1. Bandurin N.G., “Metod i programma dlya resheniya sistem obyknovennykh nelineinykh integro-algebraicheskikh uravnenii obschego vida”, Izv. vuzov. Severo-Kavkazskii region. Ser. Estestvennye nauki, 2011, no. 4, 11–14
2. N. G. Bandurin, N. A. Gureeva, “Software package for the numerical solution of systems of essentially nonlinear ordinary integro-differential-algebraic equations”, Math. Models Comput. Simul., 4:5 (2012), 455–463
3. Bandurin N.G., “Programma dlya avtomaticheskogo resheniya sistem suschestvenno nelineinykh differentsialno-algebraicheskikh uravnenii (dvumernye zadachi)”, Izv. Volgogradskogo gos. tekhnich. un-ta, 10:14 (2012), 10–13
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