A new perturbation algorithm with better convergence properties: Multiple scales lindstedt poincare method

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dc.contributor.authorH. BOYACI
dc.contributor.authorM. PAKDEMİRLİ
dc.contributor.authorM. M. F. KARAHAN
dc.date.accessioned2025-04-14T05:52:59Z
dc.date.available2025-04-14T05:52:59Z
dc.date.issued2009
dc.description.abstractA new perturbation algorithm combining the Method of Multiple Scales and Lindstedt-Poincare techniques is proposed for the first time. The algorithm combines the advantages of both methods. Convergence to real solutions with large perturbation parameters can be achieved for both constant amplitude and variable amplitude cases. Three problems are solved: Linear damped vibration equation, classical duffing equation and damped cubic nonlinear equation. Results of Multiple Scales, new method and numerical solutions are contrasted. The proposed new method produces better results for strong nonlinearities.
dc.identifier.urihttp://hdl.handle.net/20.500.14701/55753
dc.language.isoİngilizce
dc.subjectMatematik
dc.subjectBilgisayar Bilimleri
dc.subjectTeori ve Metotlar
dc.titleA new perturbation algorithm with better convergence properties: Multiple scales lindstedt poincare method

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