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...
Main Authors: | , |
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Format: | Article |
Language: | English |
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Vilnius Gediminas Technical University
1998-12-01
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Series: | Mathematical Modelling and Analysis |
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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 |
first_indexed | 2024-12-19T17:25:02Z |
format | Article |
id | doaj.art-cdb37755ab9c4151884a49369d027b7f |
institution | Directory Open Access Journal |
issn | 1392-6292 1648-3510 |
language | English |
last_indexed | 2024-12-19T17:25:02Z |
publishDate | 1998-12-01 |
publisher | Vilnius Gediminas Technical University |
record_format | Article |
series | Mathematical Modelling and Analysis |
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 |