Results 21 to 30 of about 170 (111)

Steady Three‐Dimensional MHD Mixed Convection Couple Stress Flow of Hybrid Nanofluid with Hall and Ion Slip Effect

Advances in Civil Engineering, Volume 2022, Issue 1, 2022., 2022
The heat transfer ratio has some important applications in industries and the engineering sector. In this model, the authors used the hybrid nanofluid because the heat transfer ratio of hybrid nanofluid is more as compared to the base fluid; the key objective of this research work is to boost up the heat transfer ratio, for example, to regulate the ...
Ali Rehman, Waris Khan, Ebenezer Bonyah, Samsul Ariffin Abdul Karim, Ahmed Alshehri, Ahmed M. Galal, Dan Ma   +6 more
wiley   +1 more source

A Comparative Study of Fractional‐Order Diffusion Model within Atangana‐Baleanu‐Caputo Operator

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
We provided two different approaches for solving fractional‐order diffusion equations in this article. The fractional Atangana‐Baleanu derivative operator in addition to the Laplace transform is used to generate several new approximate‐analytical solutions to the time‐fractional diffusion equations.
Mohammad Alshammari, Naveed Iqbal, Davis Bundi Ntwiga, Azhar Hussain   +3 more
wiley   +1 more source

On Reduce Differential Transformation Method for Solving Damped Kawahara Equation

Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022
The damped Kawahara equation (KE) is nonintegrable equation and does not have analytical integration. In this work, the powerful numerical method, which is the reduce differential transformation method (RDTM), is devoted to solve the damped KE. The accuracy of the method is proved. The results are compared with the different numerical methods.
Noufe H. Aljahdaly, Maram A. Alharbi, A. K. Alomari   +2 more
wiley   +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

Falkner–Skan Equation with Heat Transfer: A New Stochastic Numerical Approach

Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021
In this study, a new computing model is developed using the strength of feedforward neural networks with the Levenberg–Marquardt method‐ (NN‐BLMM‐) based backpropagation technique. It is used to find a solution for the nonlinear system obtained from the governing equations of Falkner–Skan with heat transfer (FSE‐HT).
Imran Khan, Hakeem Ullah, Hussain AlSalman, Mehreen Fiza, Saeed Islam, Asif Zahoor Raja, Mohammad Shoaib, Abdu H. Gumaei, Mohammad Yaghoub Abdollahzadeh Jamalabadi   +8 more
wiley   +1 more source

Analysis of various semi-numerical schemes for magnetohydrodynamic (MHD) squeezing fluid flow in porous medium

Propulsion and Power Research, 2019
In this article comparative analysis of various semi-numerical schemes has been made for the case of squeezing flow of an incompressible viscous fluid between two large parallel plates having no-slip at the boundaries.
Inayat Ullah, M.T. Rahim, Hamid Khan, Mubashir Qayyum   +3 more
doaj   +1 more source

Approximate and Exact Solutions to Fractional Order Cauchy Reaction‐Diffusion Equations by New Combine Techniques

Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021
In this paper, we present a simple and efficient novel semianalytic method to acquire approximate and exact solutions for the fractional order Cauchy reaction‐diffusion equations (CRDEs). The fractional order derivative operator is measured in the Caputo sense. This novel method is based on the combinations of Elzaki transform method (ETM) and residual
Adnan Khan, Muhammad Imran Liaqat, Muhammad Younis, Ashraful Alam, Fairouz Tchier   +4 more
wiley   +1 more source

Heat and Mass Transfer of Rotational Flow of Unsteady Third‐Grade Fluid over a Rotating Cone with Buoyancy Effects

Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021
Objective of this paper is a study of the impact of heat and mass transfer on time‐dependent flow of a third‐grade convective fluid due to an infinitely rotating upright cone. An interesting fact is observed that the similarity solutions only exist, if we take the angular velocities of the cone and far away from the fluid as an inverse function of time.
S. Saleem, Praveen Agarwal
wiley   +1 more source

A new optimal multistep optimal homotopy asymptotic method to solve nonlinear system of two biological species

Nonlinear Engineering, 2023
Recently solving integro-differential equations have been the focus of attention among many researchers in the field of mathematic and engineering.
Ayati Zainab, Pourjafar Sadegh
doaj   +1 more source

A Semianalytical Approach to the Solution of Time‐Fractional Navier‐Stokes Equation

Advances in Mathematical Physics, Volume 2021, Issue 1, 2021., 2021
In this manuscript, a semianalytical solution of the time‐fractional Navier‐Stokes equation under Caputo fractional derivatives using Optimal Homotopy Asymptotic Method (OHAM) is proposed. The above‐mentioned technique produces an accurate approximation of the desired solutions and hence is known as the semianalytical approach.
Zeeshan Ali, Shayan Naseri Nia, Faranak Rabiei, Kamal Shah, Ming Kwang Tan, ZEA Fellah   +5 more
wiley   +1 more source