Degenerate matrix method for solving nonlinear systems of differential equations

Degenerate matrix method for numerical solving nonlinear systems of ordinary differential equations is considered. The method is based on an application of special degenerate matrix and usual iteration procedure. The method, which is connected with an implicit Runge‐Kutta method, can be simply reali...

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Bibliographic Details
Main Authors: T. Cîrulis, O. Lietuvietis
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 1998-12-01
Series:Mathematical Modelling and Analysis
Subjects:
-
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/9986
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author T. Cîrulis
O. Lietuvietis
author_facet T. Cîrulis
O. Lietuvietis
author_sort T. Cîrulis
collection DOAJ
description Degenerate matrix method for numerical solving nonlinear systems of ordinary differential equations is considered. The method is based on an application of special degenerate matrix and usual iteration procedure. The method, which is connected with an implicit Runge‐Kutta method, can be simply realized on computers. An estimation for the error of the method is given. First Published Online: 14 Oct 2010
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spelling doaj.art-cdb37755ab9c4151884a49369d027b7f2022-12-21T20:12:35ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35101998-12-013110.3846/13926292.1998.9637085Degenerate matrix method for solving nonlinear systems of differential equationsT. Cîrulis0O. Lietuvietis1University of Latvia , Raiòa bulv. 19, Rîga, LV‐1586, LatviaUniversity of Latvia , Raiòa bulv. 19, Rîga, LV‐1586, LatviaDegenerate matrix method for numerical solving nonlinear systems of ordinary differential equations is considered. The method is based on an application of special degenerate matrix and usual iteration procedure. The method, which is connected with an implicit Runge‐Kutta method, can be simply realized on computers. An estimation for the error of the method is given. First Published Online: 14 Oct 2010https://journals.vgtu.lt/index.php/MMA/article/view/9986-
spellingShingle T. Cîrulis
O. Lietuvietis
Degenerate matrix method for solving nonlinear systems of differential equations
Mathematical Modelling and Analysis
-
title Degenerate matrix method for solving nonlinear systems of differential equations
title_full Degenerate matrix method for solving nonlinear systems of differential equations
title_fullStr Degenerate matrix method for solving nonlinear systems of differential equations
title_full_unstemmed Degenerate matrix method for solving nonlinear systems of differential equations
title_short Degenerate matrix method for solving nonlinear systems of differential equations
title_sort degenerate matrix method for solving nonlinear systems of differential equations
topic -
url https://journals.vgtu.lt/index.php/MMA/article/view/9986
work_keys_str_mv AT tcirulis degeneratematrixmethodforsolvingnonlinearsystemsofdifferentialequations
AT olietuvietis degeneratematrixmethodforsolvingnonlinearsystemsofdifferentialequations