Results 1 to 10 of about 13,810,534 (190)

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   +4 more sources

Dynamical Study of Fokker-Planck Equations by Using Optimal Homotopy Asymptotic Method

open access: yesMathematics, 2019
In this article, Optimal Homotopy Asymptotic Method (OHAM) is used to approximate results of time-fractional order Fokker-Planck equations. In this work, 3rd order results obtained through OHAM are compared with the exact solutions.
H. M. Younas   +4 more
doaj   +4 more sources

Optimal homotopy asymptotic method for solving Volterra integral equation of first kind

open access: yesAlexandria Engineering Journal, 2014
In this paper, authors demonstrate the efficiency of optimal homotopy asymptotic method (OHAM). This is done by solving nonlinear Volterra integral equation of first kind.
N. Khan   +3 more
doaj   +4 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

A New Optimal Homotopy Asymptotic Method for Fractional Optimal Control Problems [PDF]

open access: yesInternational 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   +1 more
doaj   +3 more sources

Optimal homotopy asymptotic method with application to thin film flow

open access: yesOpen Physics, 2008
Abstract A new approximate analytical technique to address for non-linear problems, namely Optimal Homotopy Asymptotic Method (OHAM) is proposed and has been applied to thin film flow of a fourth grade fluid down a vertical cylinder.
Marinca Vasile   +2 more
doaj   +3 more sources

Applications of OHAM and MOHAM for Fractional Seventh-Order SKI Equations

open access: yesJournal of Applied Mathematics, 2021
In this article, a comparative study between optimal homotopy asymptotic method and multistage optimal homotopy asymptotic method is presented. These methods will be applied to obtain an approximate solution to the seventh-order Sawada-Kotera Ito ...
Jafar Biazar, Saghi Safaei
doaj   +1 more source

Analysis of couple stress fluid flow with variable viscosity using two homotopy-based methods

open access: yesOpen Physics, 2021
In this article, the generalized plane Couette flow of Vogel’s model of incompressible, non-isothermal, couple stress fluid flowing steadily between two parallel walls is investigated.
Khan Alamgeer   +6 more
doaj   +1 more source

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   +1 more source

Analysis of various semi-numerical schemes for magnetohydrodynamic (MHD) squeezing fluid flow in porous medium

open access: yesPropulsion and Power Research, 2019
In this article comparative analysis of various semi-numerical schemes has been made for the case of squeezing flow of an incompressible viscous fluid between two large parallel plates having no-slip at the boundaries.
Inayat Ullah   +3 more
doaj   +1 more source

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