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Information Journal Paper

Title

EFFECTIVE APPROXIMATE METHODS FOR STRONGLY NONLINEAR DIFFERENTIAL EQUATIONS WITH OSCILLATIONS

Pages

  1-6

Abstract

 Purpose: This paper proposes the use of different analytical methods in obtaining approximate solutions for nonlinear differential equations with oscillations.Methods: Three methods are considered in this paper: LINDSTEDT-POINCARE METHOD, the Krylov-Bogoliubov first approximate method, and the DIFFERENTIAL TRANSFORM METHOD.Results: Figures that are given in this paper give a strong evidence that the proposed methods are effective in handling nonlinear differential equations with oscillations.Conclusions: This study reveals that the DIFFERENTIAL TRANSFORM METHOD provides a remarkable precision compared with other perturbation methods.

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    Cite

    APA: Copy

    ALQURAN, MARWAN, & AL KHALED, KAMEL. (2012). EFFECTIVE APPROXIMATE METHODS FOR STRONGLY NONLINEAR DIFFERENTIAL EQUATIONS WITH OSCILLATIONS. MATHEMATICAL SCIENCES, 6(-), 1-6. SID. https://sid.ir/paper/322601/en

    Vancouver: Copy

    ALQURAN MARWAN, AL KHALED KAMEL. EFFECTIVE APPROXIMATE METHODS FOR STRONGLY NONLINEAR DIFFERENTIAL EQUATIONS WITH OSCILLATIONS. MATHEMATICAL SCIENCES[Internet]. 2012;6(-):1-6. Available from: https://sid.ir/paper/322601/en

    IEEE: Copy

    MARWAN ALQURAN, and KAMEL AL KHALED, “EFFECTIVE APPROXIMATE METHODS FOR STRONGLY NONLINEAR DIFFERENTIAL EQUATIONS WITH OSCILLATIONS,” MATHEMATICAL SCIENCES, vol. 6, no. -, pp. 1–6, 2012, [Online]. Available: https://sid.ir/paper/322601/en

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