Approximate Periodic Solution for the Nonlinear Helmholtz-Duffing Oscillator via Analytical Approaches. (29th September 2014)

• Record Type: Journal Article
• Authors: Mirzabeigy, A.; Yazdi, M. K.; Nasehi, M. H.
• Other Names: Phan Anh-Huy Academic Editor.
• Is Part Of: International journal of computational mathematics. Volume 2014(2014)
• Publication Date: 2014-09-29
• Subjects: Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Periodicals; 518.05
• DOI: 10.1155/2014/939623
• Languages: English
• ISSNs: 2356-797X

Abstract

Abstract : The conservative Helmholtz-Duffing oscillator is analyzed by means of three analytical techniques. The max-min, second-order of the Hamiltonian, and the global error minimization approaches are applied to achieve natural frequencies. The obtained results are compared with the homotopy perturbation method and numerical solutions. The results show that second-order of the global error minimization method is very accurate, so it can be widely applicable in engineering problems.