Results 11 to 20 of about 78 (65)

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

New approximate-analytical solutions to partial differential equations via auxiliary function method

Partial Differential Equations in Applied Mathematics, 2021
In this article, the optimal auxiliary function method (OAFM) is extended to general partial differential equations (PDEs). Our proposed method is highly efficient and provides the means of controlling the approximate solution’s convergence. Illustrative
Laiq Zada, Rashid Nawaz, Kottakkaran Sooppy Nisar, Muhammad Tahir, Mehmet Yavuz, Mohammed K.A. Kaabar, Francisco Martínez   +6 more
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

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

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

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

The nonlinear thermomechanical vibration of a functionally graded beam on Winkler-Pasternak foundation [PDF]

, 2018
By using the Optimal Auxiliary Functions Method (OAFM), nonlinear free thermomechanical vibration of functionally graded beam (FGB) on Winkler-Pasternak elastic foundation is studied.
Birman, Carl, Dokmeci, Elmaguri, Emam, Fu, Herisanu, Kashizadeh, Ke, Khorrambadi, Maganti, Marinca, Mohammadi, Shvartsman, Su, Thomas, Yaghoobi, Yang, Yigit   +18 more
core   +2 more sources