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Mathematical Methods in the Applied Sciences, 2020
In this paper, a powerful semianalytical method known as optimal homotopy asymptotic method (OHAM) has been formulated for the solution of system of Volterra integro‐differential equations. The effectiveness and performance of the proposed technique are verified by different numerical problems in the literature, and the obtained results are compared ...
Praveen Agarwal +3 more
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In this paper, a powerful semianalytical method known as optimal homotopy asymptotic method (OHAM) has been formulated for the solution of system of Volterra integro‐differential equations. The effectiveness and performance of the proposed technique are verified by different numerical problems in the literature, and the obtained results are compared ...
Praveen Agarwal +3 more
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Approximate Solutions to a Cantilever Beam Using Optimal Homotopy Asymptotic Method
Applied Mechanics and Materials, 2013The response of a cantilever beam with a lumped mass attached to its free end subject to harmonical excitation at the base is investigated by means of the Optimal Homotopy Asymptotic Method (OHAM). Approximate accurate analytical expressions for the solutions and for approximate frequency are determined. This method does not require any small parameter
Vasile Marinca +2 more
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OPTIMAL HOMOTOPY ASYMPTOTIC METHOD FOR SOLVING MULTI-PANTOGRAPH TYPE DELAY DIFFERENTIAL EQUATIONS
Advances in Differential Equations and Control Processes, 2018Summary: In this paper, the optimal homotopy asymptotic method (OHAM) is employed for the first time to obtain approximate solution of multi-pantograph equations with proportional delay. Several examples are presented to demonstrate the validity, efficiency and reliability of this procedure. Numerical results are discussed, compared with exact solution
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Numerical solution of Painlev̀e equation I by optimal homotopy asymptotic method
AIP Conference Proceedings, 2013The Painleve equations are second order ordinary differential equations which can be grouped into six families, namely Painlev'e equation I, II, ..., VI. In this paper, we employed the Optimal Homotopy Asymptotic Method (OHAM) to find the approximate solution of Painleve equation I.
Fazle Mabood +2 more
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Nonlinear optimal control of variable speed wind turbines using optimal homotopy asymptotic method
Wind EngineeringThis paper presents a new nonlinear optimal controller for wind energy conversion systems. This study utilizes a new strategy to solve the Hamilton–Jacobi–Bellman (HJB) equation and design a nonlinear optimal controller for wind turbines. The optimal homotopy asymptotic method (OHAM) is applied to derive the solution of the HJB equation corresponding ...
Arefe Shalbafian, Soheil Ganjefar
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Optimal homotopy asymptotic method for a well-mixed SEIR model
AIP Conference Proceedings, 2023Bogdan Marinca, Ciprian Bogdan
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The Second Alternative of the Optimal Homotopy Asymptotic Method
2015Vasile Marinca, Nicolae Herisanu
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