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A collocation algorithm for calculating the periodic solutions of non‐linear oscillators
Author(s) -
Buonomo A.
Publication year - 1992
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.4490200202
Subject(s) - collocation (remote sensing) , simple (philosophy) , projection (relational algebra) , class (philosophy) , mathematics , projection method , collocation method , algorithm , computer science , mathematical analysis , differential equation , dykstra's projection algorithm , ordinary differential equation , philosophy , epistemology , machine learning , artificial intelligence
An approximation method is given for calculating the periodic solutions of non‐linear oscillators based upon the well‐known method of collocation, which belongs to the class of projection methods. Unlike available techniques, the method leads to a simple and efficient algorithmic procedure which consists of solving a system of non‐linear equations given in a simple explicit form. To demonstrate the effectiveness of the proposed algorithm, the results of some typical oscillator circuits are provided.