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 real...

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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:
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Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/9986
Description
Summary: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
ISSN:1392-6292
1648-3510