Results 11 to 20 of about 51 (40)

Dynamics of SEIR epidemic model by optimal auxiliary functions method. [PDF]

Chaos Solitons Fractals, 2021
Marinca B, Marinca V, Bogdan C.
europepmc   +2 more sources

Analytical and Numerical Analysis of the Squeezed Unsteady MHD Nanofluid Flow in the Presence of Thermal Radiation

Journal of Nanomaterials, Volume 2022, Issue 1, 2022., 2022
In this study, the unsteady squeezing nanofluid flow between two plates with thermal radiation has been investigated. The governing equations of the flow model have been transformed to a set of nonlinear ordinary differential equations (ODEs) from a set of partial differential equations (PDEs) using a suitable similarity variable. The optimal auxiliary
Hakeem Ullah, Muhammad Arif Khan, Mehreen Fiza, Kashif Ullah, Muhammad Ayaz, Seham M. Al-Mekhlafi, Anwar Saeed   +6 more
wiley   +1 more source

Comparative Evaluation of the Optimal Auxiliary Function Method and Numerical Method to Explore the Heat Transfer between Two Parallel Porous Plates of Steady Nanofluids with Brownian and Thermophoretic Influences

Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022
In this study, we used the newly established optimal approach, namely, optimal auxilary function method (OAFM) along with the Adams numerical solver technique in order to investigate the heat transfer between two permeable parallel plates of steady nanofluids (HTBTP‐SNFs) through Brownian and thermophoretic consequences.
Hakeem Ullah, Rafaqat Ali Khan, Mehreen Fiza, Saeed Islam, Seham M. Al-Mekhlafi, Arshad Riaz   +5 more
wiley   +1 more source

Comparative Analysis of the Effect of Joule Heating and Slip Velocity on Unsteady Squeezing Nanofluid Flow

Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022
In this paper, we studied unsteady MHD nanofluid squeezing flow between two parallel plates considering the effect of Joule heating and thermal radiation. The governing equations in the form of partial differential equations (PDEs) are transformed into a system of ordinary differential equations (ODEs) with the help of similarity transformation.
Hakeem Ullah, Hina Khan, Mehreen Fiza, Kashif Ullah, Saeed Islam, Seham M. Al-Mekhlafi, Arshad Riaz   +6 more
wiley   +1 more source

Analysis of the Vibro-Impact Nonlinear Damped and Forced Oscillator in the Dynamics of the Electromagnetic Actuation

Mathematics, 2023
In this work, the effect of vibro-impact nonlinear, forced, and damped oscillator on the dynamics of the electromagnetic actuation (EA) near primary resonance is studied. The vibro-impact regime is given by the presence of the Hertzian contact. The EA is
Nicolae Herisanu, Bogdan Marinca, Livija Cveticanin, Vasile Marinca   +3 more
doaj   +1 more source

Extension of Optimal Homotopy Asymptotic Method with Use of Daftardar–Jeffery Polynomials to Coupled Nonlinear‐Korteweg‐De‐Vries System

Complexity, Volume 2020, Issue 1, 2020., 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. The results obtained by the proposed method are compared with the multistage Optimal Homotopy Asymptotic Method ...
Rashid Nawaz, Zawar Hussain, Abraiz Khattak, Adam Khan, Raúl Baños   +4 more
wiley   +1 more source

Analytical Analysis of Effects of Buoyancy, Internal Heat Generation, Magnetic Field, and Thermal Radiation on a Boundary Layer over a Vertical Plate with a Convective Surface Boundary Condition

International Journal of Differential Equations, Volume 2020, Issue 1, 2020., 2020
In this paper, the effects of magnetic field, thermal radiation, buoyancy force, and internal heat generation on the laminar boundary layer flow about a vertical plate in the presence of a convective surface boundary condition have been investigated.
Solomon Bati Kejela, Mitiku Daba Firdi, Ram n Quintanilla   +2 more
wiley   +1 more source

Optimum Solutions of Fractional Order Zakharov–Kuznetsov Equations

Complexity, Volume 2019, Issue 1, 2019., 2019
In this paper, the Optimal Homotopy Asymptotic Method is extended to derive the approximate solutions of fractional order two‐dimensional partial differential equations. The fractional order Zakharov–Kuznetsov equation is solved as a test example, while the time fractional derivatives are described in the Caputo sense.
Rashid Nawaz, Laiq Zada, Abraiz Khattak, Muhammad Jibran, Adam Khan, Marcio Eisencraft   +5 more
wiley   +1 more source

Comparative Analysis of the Plane Couette Flow of Couple Stress Fluid Under the Influence of Magnetohydrodynamics

East European Journal of Physics
The present study aims to perform a comparative analysis of the plane Couette flow of a couple stress fluid under the influence of magnetohydrodynamics (MHD) using two different methods: the Optimal Auxiliary Function Method (OAFM) and the Homotopy ...
Muhammad Farooq, Ibrar Khan, Rashid Nawaz, Gamal M. Ismail, Huzaifa Umar, Hijaz Ahmad   +5 more
doaj   +1 more source

Closed-Form Almost Periodical Solutions for a Dynamical System Using the Optimal Auxiliary Functions Method

Mathematics
The main aim of our paper is concerning the damped oscillations of 3D dynamical systems, depending on a single physical parameter. This system does not admit Hamilton–Poisson structure but can be explicitly integrated, and the exact parametric solutions ...
Remus-Daniel Ene, Romeo Negrea, Rodica Badarau, Nicolina Pop   +3 more
doaj   +1 more source