Results 81 to 90 of about 4,624 (137)

Distributed order hantavirus model and its nonstandard discretizations and stability analysis

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 2, Page 2404-2420, 30 January 2025.
It is crucial to understand the effects of deadly viruses on humans in advance. One such virus is the infectious hantavirus. Since the effects of viruses vary under different conditions, this study models the virus using distributed order differential equations.
Mehmet Kocabiyik, Mevlüde Yakit Ongun
wiley   +1 more source

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

open access: yesIET 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   +2 more
wiley   +1 more source

Stability Problems and Analytical Integration for the Clebsch’s System

open access: yesOpen Mathematics, 2019
The nonlinear stability and the existence of periodic orbits of the equilibrium states of the Clebsch’s system are discussed.. Numerical integration using the Lie-Trotter integrator and the analytic approximate solutions using Multistage Optimal Homotopy
Pop Camelia, Ene Remus-Daniel
doaj   +1 more source

Designing a Resilient Controller for Cancer Immunotherapy: Application to a Fractional‐Order Tumour‐Immune Model

open access: yesIET Systems Biology, Volume 19, Issue 1, January/December 2025.
In this paper, we propose a robust control method for the automatic treatment of targeted anti‐angiogenic molecular therapy based on multi‐input multi‐output (MIMO) nonlinear fractional and non‐fractional models using the backstepping (BS) approach.
Mohamadreza Homayounzade   +1 more
wiley   +1 more source

Series Solution for Painlevé Equation II

open access: yesWalailak Journal of Science and Technology, 2014
The Painlev'e equations are second order ordinary differential equations which can be grouped into six families, namely Painlev'e equation I, II,…, VI.
Fazle MABOOD   +3 more
doaj   +1 more source

Optimal Homotopy Asymptotic Method for Solving System of Fredholm Integral Equations

open access: yesCommunications in Numerical Analysis, 2013
In this paper, optimal homotopy asymptotic method (OHAM) is applied to solve system of Fredholm integral equations. The effectiveness of optimal homotopy asymptotic method is presented. This method provides easy tools to control the convergence region of approximating solution series wherever necessary.
Bahman Ghazanfari, Nahid Yari
openaire   +1 more source

Exact solitary wave solutions for a coupled gKdV–Schrödinger system by a new ODE reduction method

open access: yesStudies in Applied Mathematics, Volume 154, Issue 1, January 2025.
Abstract A new method is developed for finding exact solitary wave solutions of a generalized Korteweg–de Vries equation with p$p$‐power nonlinearity coupled to a linear Schrödinger equation arising in many different physical applications. This method yields 22 solution families, with p=1,2,3,4$p=1,2,3,4$.
Stephen C. Anco   +3 more
wiley   +1 more source

Systematic Review of Geometrical Approaches and Analytical Integration for Chen’s System

open access: yesMathematics, 2020
The main goal of this paper is to present an analytical integration in connection with the geometrical frame given by the Hamilton–Poisson formulation of a specific case of Chen’s system. In this special case we construct an analytic approximate solution
Remus-Daniel Ene   +2 more
doaj   +1 more source

Estimating Static Models of Strategic Interaction [PDF]

open access: yes
We propose a method for estimating static games of incomplete information. A static game is a generalization of a discrete choice model, such as a multinomial logit or probit, which allows the actions of a group of agents to be interdependent.
Denis Nekipelov   +3 more
core  

Numerical Scheme for Solving Singular Two-Point Boundary Value Problems

open access: yesJournal of Applied Mathematics, 2013
Singular two-point boundary value problems (BVPs) are investigated using a new technique, namely, optimal homotopy asymptotic method (OHAM). OHAM provides a convenient way of controlling the convergence region and it does not need to identify an ...
N. Ratib Anakira   +2 more
doaj   +1 more source

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