Results 41 to 50 of about 4,624 (137)

Multistage Optimal Homotopy Asymptotic Method for Solving Initial-Value Problems

Journal of Nonlinear Sciences and Applications, 2016
In this paper, a new approximate analytical algorithm namely multistage optimal homotopy asymptotic method (MOHAM) is presented for the first time to obtain approximate analytical solutions for linear, nonlinear and system of initial value problems (IVPs).This algorithm depends on the standard optimal homotopy asymptotic method (OHAM), in which it is ...
Anakira, N. R., Alomari, A. K., Jameela, Ali, Hashim, Ishak   +3 more
openaire   +2 more sources

A Survey of SIR‐Based Differential Epidemic Models for Control and Security Against Malware Propagation in Computer Networks

SECURITY AND PRIVACY, Volume 9, Issue 1, January/February 2026.
ABSTRACT Unarguably, malware and their variants have metamorphosed into objects of attack and cyber warfare. These issues have directed research focus to modeling infrastructural settings and infection scenarios, analyzing propagation mechanisms, and conducting studies that highlight optimized remedial measures.
Chukwunonso Henry Nwokoye
wiley   +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
doaj   +1 more source

An Extension of the Optimal Homotopy Asymptotic Method to Coupled Schrödinger-KdV Equation

International Journal of Differential Equations, 2014
We consider the approximate solution of the coupled Schrödinger-KdV equation by using the extended optimal homotopy asymptotic method (OHAM). We obtained the extended OHAM solution of the problem and compared with the exact, variational iteration method (
Hakeem Ullah, Saeed Islam, Muhammad Idrees, Mehreen Fiza, Zahoor Ul Haq   +4 more
doaj   +1 more source

New algorithm for the approximate solution of generalized seventh order Korteweg-Devries equation arising in shallow water waves

Results in Physics, 2021
In the present article, we present for the first time optimal auxiliary function method (OAFM) for partial differential equation (PDEs). To find efficient and precision the proposed method, we take Lax’s seventh order korteweg-de Vries (KdV) and seventh ...
Laiq Zada, Rashid Nawaz, Muhammad Ayaz, Hijaz Ahmad, Hussam Alrabaiah, Yu-Ming Chu   +5 more
doaj   +1 more source

Solving Obstacle Problems using Optimal Homotopy Asymptotic Method

Global Journal of Sciences
Differential equations play a vital role in explaining real-world phenomena  across science and engineering, from fluid motion and population growth to the  mechanics of bridges. In particular, the cantilever bridge problem can be  framed as a homogeneous obstacle problem, which illustrates the practical  importance of such mathematical models ...
Muhammad Amjad, Haider Ali, Muntazim Abbas Hashmi, Umber Rana   +3 more
openaire   +2 more sources

Optimal homotopy asymptotic method for solving fractional relaxation-oscillation equation

Journal of Interpolation and Approximation in Scientific Computing, 2015
In this paper, an approximate analytical solution of linear fractional relaxation-oscillation equations in which the fractional derivatives are given in the Caputo sense, is obtained by the optimal homotopy asymptotic method (OHAM). The studied OHAM is based on minimizing the residual error.
Mohammad Hamarsheh, Ahmad Ismail, Zaid Odibat   +2 more
openaire   +1 more source

A Roadside End‐to‐End Model for Rapid Parking Path Planning Over the Occupancy Grid Map

IET Intelligent Transport Systems, Volume 20, Issue 1, January/December 2026.
This paper proposes the roadside parking path planning model (RSP3), a roadside end‐to‐end parking path planning model that fuses with the intention of the autonomous driving vehicle via the vehicle‐to‐infrastructure (V2I) cooperation and innovatively models each path point as a classification on the occupancy grid map.
Peng Liu, Kegang Zhao, Xiwei Jiao, Bolin Gao, Haiyan Dai, Chijun Wang   +5 more
wiley   +1 more source

Simulation of bioconvection in the suspension of second grade nanofluid containing nanoparticles and gyrotactic microorganisms

AIP Advances, 2018
A time dependent symmetric flow with heat transmission of a second-grade fluid containing nanoparticles and gyrotactic microorganisms between two parallel plates in two dimensions is explored. Partial differential equations furnish the nonlinear ordinary
Samina Zuhra, Noor Saeed Khan, Zahir Shah, Saeed Islam, Ebenezer Bonyah   +4 more
doaj   +1 more source

Approximate Solutions of Multi-Pantograph Type Delay Differential Equations Using Multistage Optimal Homotopy Asymptotic Method

Journal of Mathematical and Fundamental Sciences, 2018
In this paper, a numerical procedure called multistage optimal homotopy asymptotic method (MOHAM) is introduced to solve multi-pantograph equations with time delay.
Nidal Ratib Anakira, Ali Jameel, Abedel-Karrem Alomari, Azizan Saaban, Mohammad Almahameed, Ishak Hashim   +5 more
doaj   +1 more source