Study of strongly nonlinear oscillators using the Aboodh transform and the homotopy perturbation method
نویسندگان
چکیده
منابع مشابه
The modified homotopy perturbation method for solving strongly nonlinear oscillators
In this paper we propose a reliable algorithm for the solution of nonlinear oscillators. Our algorithm is based upon the homotopy perturbation method (HPM), Laplace transforms, and Padé approximants. This modified homotopy perturbation method (MHPM) utilizes an alternative framework to capture the periodic behavior of the solution, which is characteristic of oscillator equations, and to give a ...
متن کاملHomotopy Perturbation Method and Aboodh Transform for Solving Nonlinear Partial Differential Equations
Here, a new method called Aboodh transform homotopy perturbation method(ATHPM) is used to solve nonlinear partial dierential equations, we presenta reliable combination of homotopy perturbation method and Aboodh transformto investigate some nonlinear partial dierential equations. The nonlinearterms can be handled by the use of homotopy perturbation method. The resultsshow the eciency of this me...
متن کاملSolving The Optimal Control Problems Using Homotopy Perturbation Transform Method
Inthispaper,wesolveHamilton-Jocobi-Bellman(HJB)equationsarisinginoptimalcontrolproblems usingHomotopyPerturbationTransformMethod(HPTM).Theproposedmethodisacombinedform oftheLaplaceTransformationMethodwiththeHomotopyPerturbationMethodtoproduceahighly effectivemethodtohandlemanyproblems. ApplyingtheHPTM,solutionprocedurebecomeseasier, simplerandmorestraightforward. Someillustrativeexamplesaregive...
متن کاملhomotopy perturbation method and aboodh transform for solving nonlinear partial differential equations
here, a new method called aboodh transform homotopy perturbation method(athpm) is used to solve nonlinear partial di erential equations, we presenta reliable combination of homotopy perturbation method and aboodh transformto investigate some nonlinear partial di erential equations. the nonlinearterms can be handled by the use of homotopy perturbation method. the resultsshow the eciency of this...
متن کاملHomotopy perturbation transform method for nonlinear equations using He's polynomials
In this paper, a combined form of the Laplace transform method with the homotopy perturbation method is proposed to solve nonlinear equations. This method is called the homotopy perturbation transform method (HPTM). The nonlinear terms can be easily handled by the use of He’s polynomials. The proposed scheme finds the solution without any discretization or restrictive assumptions and avoids the...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The European Physical Journal Plus
سال: 2019
ISSN: 2190-5444
DOI: 10.1140/epjp/i2019-12824-6