A numerical-analytical iterative method for solving an electrical oscillator equation
| Autor: | Damar Widjaja, Sudi Mungkasi |
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| Rok vydání: | 2021 |
| Předmět: |
Van der Pol oscillator
Iterative method Numerical solution Oscillation problem Computational method law.invention Exact solutions in general relativity Van der Pol equation Simple (abstract algebra) law Ordinary differential equation Electrical network Numerical-analytical method Successive approximation Shaping Applied mathematics Time domain Electrical and Electronic Engineering Mathematics |
| Popis: | 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 |
| Databáze: | OpenAIRE |
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