Results 11 to 20 of about 18,356 (198)

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

open access: yesMathematics, 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   +3 more sources

A new optimal multistep optimal homotopy asymptotic method to solve nonlinear system of two biological species

open access: yesNonlinear Engineering, 2023
Recently solving integro-differential equations have been the focus of attention among many researchers in the field of mathematic and engineering.
Ayati Zainab, Pourjafar Sadegh
doaj   +2 more sources

Numerical solution of 2D-fuzzy Fredholm integral equations using optimal homotopy asymptotic method

open access: yesAlexandria Engineering Journal, 2021
This paper deals with the solution of system of 2D-fuzzy Fredholm integral equations (2D-FFIEs) depend upon the parametric form fuzzy number; using an efficient algorithm called Optimal Homotopy Asymptotic Method (OHAM).
Sumbal Ahsan   +5 more
doaj   +2 more sources

Extension of Optimal Homotopy Asymptotic Method with Use of Daftardar–Jeffery Polynomials to Coupled Nonlinear-Korteweg-De-Vries System

open access: yesComplexity, 2020
In this paper, Daftardar–Jeffery Polynomials are introduced in the Optimal Homotopy Asymptotic Method for solution of a coupled system of nonlinear partial differential equations. The coupled nonlinear KdV system is taken as test example.
Rashid Nawaz   +3 more
doaj   +2 more sources

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

open access: yesPartial 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   +3 more
doaj   +2 more sources

Comparison of optimal homotopy asymptotic method and homotopy perturbation method for strongly non-linear equation [PDF]

open access: yesJournal of the Association of Arab Universities for Basic and Applied Sciences, 2014
AbstractIn this paper, we employ an approximate analytical method, namely the optimal homotopy asymptotic method (OHAM), to investigate a thin film flow of a third grade fluid down an inclined plane and provided accurate solution unlike other erroneous results available in the literature.
Fazle Mabood
exaly   +2 more sources

New version of Optimal Homotopy Asymptotic Method for the solution of nonlinear boundary value problems in finite and infinite intervals

open access: yesAlexandria Engineering Journal, 2016
In this research work a new version of Optimal Homotopy Asymptotic Method is applied to solve nonlinear boundary value problems (BVPs) in finite and infinite intervals.
Liaqat Ali   +4 more
doaj   +3 more sources

Approximate Closed-Form Solutions for the Maxwell-Bloch Equations via the Optimal Homotopy Asymptotic Method

open access: yesMathematics, 2022
This paper emphasizes some geometrical properties of the Maxwell–Bloch equations. Based on these properties, the closed-form solutions of their equations are established.
Remus-Daniel Ene   +3 more
doaj   +2 more sources

Application of the optimal homotopy asymptotic method to nonlinear Bingham fluid dampers

open access: yesOpen Physics, 2017
Dynamic response time is an important feature for determining the performance of magnetorheological (MR) dampers in practical civil engineering applications.
Marinca Vasile   +2 more
doaj   +3 more sources

Complexiton solutions for complex KdV equation by optimal Homotopy Asymptotic Method

open access: yesFilomat, 2019
In this article an innovative technique named as Optimal Homotopy Asymptotic Method has been explored to treat system of KdV equations computed from complex KdV equation. By developing special form of initial value problems to complex KdV equation, three different types of semi analytic complextion solutions fromcomplexKdVequation have been
Zuhra, Samina   +3 more
openaire   +3 more sources

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