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A numerical approach to solve the model of an electromechanical system
Author(s) -
Alkan Sertan,
Aydin Merve Nilay,
Coban Ramazan
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5306
Subject(s) - mathematics , haar , haar wavelet , computation , matrix (chemical analysis) , collocation method , wavelet , collocation (remote sensing) , numerical analysis , linear system , differential equation , mathematical analysis , ordinary differential equation , algorithm , wavelet transform , discrete wavelet transform , computer science , materials science , artificial intelligence , machine learning , composite material
In this paper, the model of an electromechanical system, which is a system of linear differential equations, is studied. Haar wavelet collocation method (HWCM) is applied for finding the approximate solution of the model. HWCM reduces the system of the model into a matrix‐vector form that contains the unknown Haar coefficients, and these coefficients are easily calculated. To demonstrate the validity and applicability of HWCM, numerical solutions of the system for different parameter values in the system are presented. The obtained results demonstrate the efficiency and accuracy of the method. All of the computations are performed via a program written in Mathematica.