TELKOMNIKA Telecommunication, Computing, Electronics and Control
A numerical-analytical iterative method for solving an electrical oscillator equation
Dublin Core
Title
TELKOMNIKA Telecommunication, Computing, Electronics and Control
A numerical-analytical iterative method for solving an electrical oscillator equation
A numerical-analytical iterative method for solving an electrical oscillator equation
Subject
Computational method
Numerical solution
Numerical-analytical method
Oscillation problem
Successive approximation
Van der Pol equation
Numerical solution
Numerical-analytical method
Oscillation problem
Successive approximation
Van der Pol equation
Description
Self-excited oscillation problem occurring from a triode electrical circuit has
been modelled by van der Pol. Until now, the exact solution to the van der Pol
equation is not available. This paper focuses on finding a new method for
solving the van der Pol equation simply and accurately. There exists several
approximate iterative methods available in the literature for solving the van
der Pol equation, such as, the successive approximation method. The
successive approximation method is simple, but inaccurate for large time
values. In this paper, we propose a new variant of numerical-analytical
method, which is simple but accurate, for solving the van der Pol equation.
Our new variant of numerical-analytical method solves the van der Pol
equation from its equivalent system of first order ordinary differential
equations. Our strategy leads to a simple implementation of the numerical-
analytical method in the multistage way. Furthermore, computational
experiments show that our proposed method is accurate for large sizes of time
domain in solving the van der Pol equation.
been modelled by van der Pol. Until now, the exact solution to the van der Pol
equation is not available. This paper focuses on finding a new method for
solving the van der Pol equation simply and accurately. There exists several
approximate iterative methods available in the literature for solving the van
der Pol equation, such as, the successive approximation method. The
successive approximation method is simple, but inaccurate for large time
values. In this paper, we propose a new variant of numerical-analytical
method, which is simple but accurate, for solving the van der Pol equation.
Our new variant of numerical-analytical method solves the van der Pol
equation from its equivalent system of first order ordinary differential
equations. Our strategy leads to a simple implementation of the numerical-
analytical method in the multistage way. Furthermore, computational
experiments show that our proposed method is accurate for large sizes of time
domain in solving the van der Pol equation.
Creator
Sudi Mungkasi, Damar Widjaja
Source
http://journal.uad.ac.id/index.php/TELKOMNIKA
Date
Jan 20, 2021
Contributor
peri irawan
Format
pdf
Language
english
Type
text
Files
Collection
Citation
Sudi Mungkasi, Damar Widjaja, “TELKOMNIKA Telecommunication, Computing, Electronics and Control
A numerical-analytical iterative method for solving an electrical oscillator equation,” Repository Horizon University Indonesia, accessed November 22, 2024, https://repository.horizon.ac.id/items/show/4109.
A numerical-analytical iterative method for solving an electrical oscillator equation,” Repository Horizon University Indonesia, accessed November 22, 2024, https://repository.horizon.ac.id/items/show/4109.