Results 101 to 110 of about 13,810,534 (190)

Utilizing the Optimal Auxiliary Function Method for the Approximation of a Nonlinear Long Wave System considering Caputo Fractional Order

Complexity
In this article, we explore the utilization of the Caputo derivative and the Riemann–Liouville (R–L) fractional integral to analyze the optimal auxiliary function method for approximating fractional nonlinear long waves.
Aaqib Iqbal, Rashid Nawaz, Hina Hina, Abdulaziz Garba Ahmad, Homan Emadifar   +4 more
doaj   +1 more source

MODIFIED OPTIMAL HOMOTOPY ASYMPTOTIC METHOD FOR SOLVING n'th-ORDER INTEGRO-DIFFERENTIAL EQUATIONS

In this paper, a Modified Optimal Homotopy Asymptotic Method (MOHAM) is proposed for the solution of nonlinear integro-differential equations. The proposed method employs an enhanced homotopy structure in which the nonlinear and integral components are ...
Nidal Anakira
core   +1 more source

Closed-Form Orbits for a Six-Parameter 3D Dynamical System Using the Multistage Optimal Homotopy Perturbation Method

Axioms
Numerous systems in electrical engineering, biology, and mechanical structures can be modeled using dynamical systems theory. This paper examines the behavior of a 3D dynamical system with six parameters, specifically its damped or periodic oscillations ...
Remus-Daniel Ene, Romeo Negrea, Rodica Badarau, Nicolina Pop   +3 more
doaj   +1 more source

Optimal homotopy asymptotic method for flow and heat transfer of a viscoelastic fluid in an axisymmetric channel with a porous wall. [PDF]

PLoS One, 2013
Mabood F, Khan WA, Ismail AI.
europepmc   +1 more source

Solving first order nonlinear fuzzy differential equations using Optimal Homotopy Asymptotic Method

, 2018
In this paper, we discuss the approximate solution of first order nonlinear fuzzy initial value problems (FIVP) by formulate and analyze the use of the Optimal Homotopy Asymptotic Method (OHAM).OHAM allows for the solution of the fuzzy differential ...
Ahmad, N., Saaban, Azizan, Anakira, N.R., Jameel, A.F., Altaie, S.A., Alomari, A.K.   +5 more
core   +1 more source

Investigation of the laminar viscous flow in a semi-porous channel in the presence of uniform magnetic field using optimal homotopy asymptotic method

, 2012
In this paper, the problem of laminar viscous flow in a semi-porous channel in the presence of transverse magnetic field is studied. The Optimal Homotopy Asymptotic Method (OHAM) is employed to approximate the solution of the system of nonlinear ...
Husna Zayadi
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Monte Carlo Simulation with Asymptotic Method (Published in "Journal of Japan Statistical Society", Vol.35-2, 171-203, 2005. ) [PDF]

We shall propose a new computational scheme with the asymptotic method to achieve variance reduction of Monte Carlo simulation for numerical analysis especially in finance. We not only provide general scheme of our method, but also show its effectiveness
Nakahiro Yoshida, Akihiko Takahashi
core  

Modified Optimal Homotopy Asymptotic Method for Singular Two-Point Boundary Value Problems

This work applies the Modified Optimal Homotopy Asymptotic Method (MOHAM) to two benchmark singular two–point boundary value problems that were previously analyzed using the standard OHAM. The modification introduces a refined homotopy framework in which
Ala Amourah, Areen Al-khateeb, Sameer Bawaneh, Tala Sasa, Nidal Anakira   +4 more
core   +1 more source

A parametric study on the analysis of thermosolutal convection for magneto-hydrodynamics dependent viscous fluid. [PDF]

Sci Rep, 2023
Bano S, Alam MK, Khan A, Saqib AB.
europepmc   +1 more source

"An Asymptotic Expansion Scheme for the Optimal Investment Problems" [PDF]

We shall propose a new computational scheme for the evaluation of the optimal portfolio for investment.Our method is based on an extension of the asymptotic expansion approach which has been recently developed for pricing problems of the contingent ...
Nakahiro Yoshida, Akihiko Takahashi
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