<abstract xmlns="http://www.w3.org/1999/xhtml"><p> This article deals with the design of effective numerical scheme for solving three point boundary value problems for second-order nonlinear singularly perturbed differential equations with initial conditions. Especially, it is focused on the analysis of the solutions when the point c from given interval is not the centre of this interval. The obtained system of nonlinear algebraic equations is solved by Newthon-Raphson method in MATLAB. It also verifies the convergence of approximate solutions of an original problem to the solution of reduced problem. We discuss the solution of a given problem with the situation when the point c is in the middle of the given interval.</p></abstract>

This article deals with the design of effective numerical scheme for solving three point boundary value problems for second-order nonlinear singularly perturbed differential equations with initial conditions. Especially, it is focused on the analysis of the solutions when the point c from given interval is not the centre of this interval. The obtained system of nonlinear algebraic equations is solved by Newthon-Raphson method in MATLAB. It also verifies the convergence of approximate solutions of an original problem to the solution of reduced problem. We discuss the solution of a given problem with the situation when the point c is in the middle of the given interval.

The Verification of Influence of the Point „C“ Position from Given Interval to Solving Systems with Highspeed Feedback

Slovak University of Technology in Bratislava, Faculty of Materials Science and Technology in Trnava, Advanced Technologies Research Institute, Bottova 25, 917 24 Trnava, Slovakia

Research Papers Faculty of Materials Science and Technology Slovak University of Technology

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

This article deals with the design of effective numerical scheme for solving three point boundary value problems for second-order nonlinear singularly...

The Verification of Influence of the Point „C“ Position from Given Interval to Solving Systems with Highspeed Feedback

Published Online: Sep 30, 2015

Page range: 7 - 18

DOI: https://doi.org/10.1515/rput-2015-0022

Keywords
nonlinear dynamic systems, MATLAB, high-speed feedback, numerical scheme

© by Ingrida Bajčičáková

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

The Verification of Influence of the Point „C“ Position from Given Interval to Solving Systems with Highspeed Feedback

Published Online: Sep 30, 2015

Page range: 7 - 18

DOI: https://doi.org/10.1515/rput-2015-0022

Keywordsnonlinear dynamic systems, MATLAB, high-speed feedback, numerical scheme

© by Ingrida Bajčičáková

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
nonlinear dynamic systems, MATLAB, high-speed feedback, numerical scheme