Application of Hybrid Functions for Solving Duffing-Harmonic Oscillator | Zendy

Mohammad Heydari | Zendy; Ghasem Brid Loghmani | Zendy; S. Mohammad Hosseini | Zendy; Seyed Mehdi Karbassi | Zendy

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Application of Hybrid Functions for Solving Duffing-Harmonic Oscillator

Author(s) -

Mohammad Heydari,

Ghasem Brid Loghmani,

S. Mohammad Hosseini,

Seyed Mehdi Karbassi

Publication year - 2014

Publication title -

journal of difference equations

Language(s) - English

Resource type - Journals

eISSN - 2356-7848

pISSN - 2356-7856

DOI - 10.1155/2014/210754

Subject(s) - duffing equation , chebyshev filter , trigonometric functions , mathematics , algebraic equation , numerical integration , algebraic number , nonlinear system , harmonic , harmonic oscillator , block (permutation group theory) , mathematical analysis , physics , geometry , quantum mechanics

A numerical method for finding the solution of Duffing-harmonic oscillator is proposed. The approach is based on hybrid functions approximation. The properties of hybrid functions that consist of block-pulse and Chebyshev cardinal functions are discussed. The associated operational matrices of integration and product are then utilized to reduce the solution of a strongly nonlinear oscillator to the solution of a system of algebraic equations. The method is easy to implement and computationally very attractive. The results are compared with the exact solution and results from several recently published methods, and the comparisons showed proper accuracy of this method

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