Results 41 to 50 of about 170 (111)

Optimal Homotopy Asymptotic Method for an Anharmonic Oscillator: Application to the Chen System

Mathematics, 2023
The aim of our work is to obtain the analytic solutions for a new nonlinear anharmonic oscillator by means of the Optimal Homotopy Asymptotic Method (OHAM), using only one iteration. The accuracy of the obtained results comes from the comparison with the
Remus-Daniel Ene, Nicolina Pop
doaj   +1 more source

Application of optimal homotopy asymptotic method with use of Daftardar Jeffery Polynomials to Benjamin-Bona-Mahony equation

Partial Differential Equations in Applied Mathematics
The Benjamin-Bhona-Mahony equation is a non-linear partial differential equation arising in the study of waves, oceanography, Plasma physics, and shallow water theory. In the present work, we looked at the approximate solution of non-linear Benjamin-Bona-
Showkat Ahmad Lone, Rawan Bossly, M.M. Seada, Anwar Saeed   +3 more
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Solving Singular Boundary Value Problems by Optimal Homotopy Asymptotic Method

International Journal of Differential Equations, 2014
In this paper, optimal homotopy asymptotic method (OHAM) for the semianalytic solutions of nonlinear singular two-point boundary value problems has been applied to several problems.
S. Zuhra, S. Islam, M. Idrees, Rashid Nawaz, I. A. Shah, H. Ullah   +5 more
doaj   +1 more source

Analytical Investigation of Magnetohydrodynamic Flow over a Nonlinear Porous Stretching Sheet

Advances in Mathematical Physics, 2016
We investigated the magnetohydrodynamic (MHD) boundary layer flow over a nonlinear porous stretching sheet with the help of semianalytical method known as optimal homotopy asymptotic method (OHAM).
Fazle Mabood, Nopparat Pochai
doaj   +1 more source

A Hybrid Laplace Transform-Optimal Homotopy Asymptotic Method (LT-OHAM) for Solving Integro-Differential Equations of the Second Kind

International Journal of Analysis and Applications
The new proposed hybrid method between optimal homotopy asymptotic method and Laplace transform namely LT-OHAM is formulated for the first time in our paper. This hybrid method presents significant features of LT-OHAM and its capability of handling IDEs. This formulation is developed to find the solution of IDEs.
Mohammad Almousa, Ahmad Al-Hammouri, Suhaila Saidat, Sultan Alsaadi, Ghada Banihani   +4 more
openaire   +1 more source

A New Optimal Homotopy Asymptotic Method for Fractional Optimal Control Problems

International Journal of Differential Equations, 2021
Solving fractional optimal control problems (FOCPs) with an approximate analytical method has been widely studied by many authors, but to guarantee the convergence of the series solution has been a challenge.
Oluwaseun Olumide Okundalaye, Wan Ainun Mior Othman   +1 more
doaj   +1 more source

Semi-Analytical Solution of Two-Dimensional Viscous Flow through Expanding/Contracting Gaps with Permeable Walls

Mathematical and Computational Applications, 2021
In this research, the analytical methods of the differential transform method (DTM), homotopy asymptotic method (HAM), optimal homotopy asymptotic method (OHAM), Adomian decomposition method (ADM), variation iteration method (VIM) and reproducing kernel ...
Mohammad Mehdi Rashidi, Mikhail A. Sheremet, Maryam Sadri, Satyaranjan Mishra, Pradyumna Kumar Pattnaik, Faranak Rabiei, Saeid Abbasbandy, Hussein Sahihi, Esmaeel Erfani   +8 more
doaj   +1 more source

Investigation of Thermal Management Capacity of Casson Electrolytes in Porous Electrodes in Lithium‐Ion Battery Applications

Battery Energy, Volume 4, Issue 5, September 2025.
For a Casson flow which is under consideration here, its rheological equation is adopted with the assumptions of viscous dissipation properties of flow and all the constant properties. By Nakamura and Sawada, the model proposed, which is biviscosity, is implemented and is mostly used for the representation of Casson electrolytes in LIB.
Tareq Manzoor, S. Iqbal, Tauseef Anwer, Sanaullah Manzoor, Ghulam Mustafa, Habib Ullah Manzoor   +5 more
wiley   +1 more source

Solution of the Differential-Difference Equations by Optimal Homotopy Asymptotic Method

Abstract and Applied Analysis, 2014
We applied a new analytic approximate technique, optimal homotopy asymptotic method (OHAM), for treatment of differential-difference equations (DDEs). To see the efficiency and reliability of the method, we consider Volterra equation in different form ...
H. Ullah, S. Islam, M. Idrees, M. Fiza
doaj   +1 more source

Adaptive Robust Nonlinear Optimal Sliding Mode Control for Wind Turbines: A Hybrid OHAM‐Based Approach to Maximize Power Capture

IET Renewable Power Generation, Volume 19, Issue 1, January/December 2025.
In this article, we propose an adaptive robust nonlinear optimal sliding mode control using the optimal homotopy asymptotic method (RNOSC‐OHAM) for maximizing wind power capture. Because of the unstable nature of the wind and the presence of uncertainties and disturbances in the structure of the wind turbine, the optimal controller cannot provide ...
Arefe Shalbafian, Farhad Amiri, Soheil Ganjefar   +2 more
wiley   +1 more source