Results 11 to 20 of about 268,057 (260)

Dynamics of SEIR epidemic model by optimal auxiliary functions method

Chaos, Solitons & Fractals, 2021
The aim of the present work is to establish an approximate analytical solution for the nonlinear Susceptible, Exposed, Infected, Recovered (SEIR) model applied to novel coronavirus COVID-19. The mathematical model depending of five nonlinear differential equations, is studied and approximate solutions are obtained using Optimal Auxiliary Functions ...
Bogdan Marinca, Vasile Marinca, Ciprian Bogdan   +2 more
exaly   +5 more sources

Optimal Auxiliary Functions Method for a Pendulum Wrapping on Two Cylinders

Mathematics, 2020
In the present work, the nonlinear oscillations of a pendulum wrapping on two cylinders is studied by means of a new analytical technique, namely the Optimal Auxiliary Functions Method (OAFM). The equation of motion is derived from the Lagrange’s equation. Analytical solutions and natural frequency of the system are calculated.
Marinca, Vasile, Herisanu, Nicolae
openaire   +4 more sources

Comparative study of fractional Newell–Whitehead–Segel equation using optimal auxiliary function method and a novel iterative approach

AIP Advances
This research explores the solution of the time-fractional Newell–Whitehead–Segel equation using two separate methods: the optimal auxiliary function method and a new iterative method.
Xiao Xin, Ibrar khan, Abdul Hamid Ganie, Ali Akgül, Ebenezer Bonyah, Dowlath Fathima, Badria Almaz Ali Yousif   +6 more
doaj   +3 more sources

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   +2 more sources

Optimal Static Output Feedback Stabilization of Fractional-Order Systems With Caputo Derivative Order 1 ≤ α < 2

IEEE Access, 2023
The design of optimal static output feedback controllers for fractional-order linear systems with Caputo derivative order 1 ≤ α < 2 is addressed in this paper.
Ming-Shue Lin, Jenq-Lang Wu, Chee-Fai Yung   +2 more
doaj   +1 more source

Penalty function method for the minimal time crisis problem [PDF]

ESAIM: Proceedings and Surveys, 2021
In this note, we propose a new method to approximate the minimal time crisis problem using an auxiliary control and a penalty function, and show its convergence to a solution to the original problem.
Boumaza Kenza, Bayen Térence, Rapaport Alain   +2 more
doaj   +1 more source

Inverse Optimal Output Regulation for a Class of Uncertain Nonlinear Systems

Journal of Harbin University of Science and Technology, 2023
For a class of nonlinear systems with unknown parameter vector and disturbance, the inverse optimal output regulation problem driven by a linear exosystem is researched.
MENG Guizhi, LÜ Yan
doaj   +1 more source

Rational approximation for solving Fredholm integro-differential equations by new algorithm

Open Physics, 2023
In this article, we used a novel semi-analytical approach, named the optimal auxiliary function method (OAFM), to solve integro-differential equations (IDEs).
Nawaz Rashid, Sumera, Zada Laiq, Ayaz Muhammad, Ahmad Hijaz, Awwad Fuad A., Ismail Emad A. A.   +6 more
doaj   +1 more source

The Optimal Homotopy Asymptotic Method for Solving Two Strongly Fractional-Order Nonlinear Benchmark Oscillatory Problems

Mathematics, 2021
This paper proceeds from the perspective that most strongly nonlinear oscillators of fractional-order do not enjoy exact analytical solutions. Undoubtedly, this is a good enough reason to employ one of the major recent approximate methods, namely an ...
Mohd Taib Shatnawi, Adel Ouannas, Ghenaiet Bahia, Iqbal M. Batiha, Giuseppe Grassi   +4 more
doaj   +1 more source

Approximate Closed-form Solutions for the Rabinovich System via the Optimal Auxiliary Functions Method

Symmetry, 2022
Based on some geometrical properties of the Rabinovich system the closed-form solutions of the equations has been established. Moreover the Rabinovich system is reduced to a nonlinear differential equation depending on an auxiliary unknown function. The approximate analytical solutions are built using the Optimal Auxiliary Functions Method (OAFM).
Remus-Daniel Ene, Nicolina Pop, Marioara Lapadat   +2 more
openaire   +1 more source