Results 11 to 20 of about 82 (55)

An extension of optimal auxiliary function method to fractional order high dimensional equations

Alexandria Engineering Journal, 2021
In this article, the new approach called, the optimal auxiliary function method (OAFM) has been extended with the help of the fractional complex transform method (FCTM) to fractional order partial differential equations (PDEs).
Rashid Nawaz, Laiq Zada, Farman Ullah, Hijaz Ahmad, Muhammad Ayaz, Imtiaz Ahmad, Taher A. Nofal   +6 more
doaj   +4 more sources

On the localized and periodic solutions to the time-fractional Klein-Gordan equations: Optimal additive function method and new iterative method

Open Physics, 2023
This investigation explores two numerical approaches: the optimal auxiliary function method (OAFM) and the new iterative method (NIM). These techniques address the physical fractional-order Klein-Gordon equations (FOKGEs), a class of partial differential
Mukhtar Safyan, Abu Hammad Ma’mon, Shah Rasool, Alrowaily Albandari W., Ismaeel Sherif M. E., El-Tantawy Samir A.   +5 more
doaj   +3 more sources

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

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   +3 more sources

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   +2 more sources

Extension of optimal auxiliary function method to nonlinear Sine Gordon differential equations

Partial Differential Equations in Applied Mathematics
In this paper, the new semi-analytical method called optimal auxiliary function method has been extended for finding the approximate solution of the non-linear Sine Gordon and Burger equations.
Aaqib Iqbal, Rashid Nawaz, Rashid Ashraf, Mehran, Nick Fewster-Young, Hina   +5 more
doaj   +3 more sources

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

Symmetry, 2022
Based on some geometrical properties (symmetries and global analytic first integrals) of the Rabinovich system the closed-form solutions of the equations have been established. The chaotic behaviors are excepted.
Marioara Lapadat, Nicolina Pop, Remus-Daniel Ene   +2 more
core   +2 more sources

A Comprehensive Study on the Applications of NTIM and OAFM in Analyzing Fractional Navier–Stokes Equations

Axioms
This article introduces two enhanced techniques: the Natural Transform Iterative Method (NTIM) and the Optimal Auxiliary Function Method (OAFM). These approaches provide a close approximation for solving fractional-order Navier–Stokes equations, which ...
Siddiq Ur Rehman, Rashid Nawaz, Faisal Zia, Nick Fewster-Young   +3 more
doaj   +2 more sources

Nonlinear Dynamics of an Electromagnetically Actuated Cantilever Beam Under Harmonic External Excitation

Applied Sciences
The present work is devoted to the study of nonlinear vibrations of an electromagnetically actuated cantilever beam subject to harmonic external excitation.
Nicolae Herisanu, Bogdan Marinca, Vasile Marinca   +2 more
doaj   +2 more sources

Impacts of unsteady MHD hybrid nanofluid over a non-linear stretchable porous sheet with thermal radiation and gyrotatic microorganisms

International Journal of Thermofluids
This study offers a numerical assessment of unsteady laminar flow, heat and mass transfer of conventional hybrid nanofluid considering activation energy which is noticed in chemical processes.
Prasun Choudhary, Sushila Choudhary, Kavita Jat, K. Loganathan, S. Eswaramoorthi   +4 more
doaj   +2 more sources

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