Results 31 to 40 of about 705 (201)

Numerical Solutions of Time‐Fractional Whitham–Broer–Kaup Equations via Sumudu Decomposition Method

Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023
In this paper, the coupled system of Whitham–Broer–Kaup equations of the Caputo fractional derivative (CFD) is studied using the Sumudu decomposition method (SDM). Using different dispersion relations, these equations are needed to describe the properties of waves in shallow water.
Shams A. Ahmed, Mohamed Elbadri, Abdelgabar Adam Hassan, Walid Hdidi, Serkan Araci   +4 more
wiley   +1 more source

Efficacy and safety of fecal microbiota transplant in irritable bowel syndrome: An update based on meta‐analysis of randomized control trials

Health Science Reports, Volume 5, Issue 5, September 2022., 2022
Abstract Background and Aims Fecal microbiota transfer (FMT) is a potential treatment for irritable bowel syndrome (IBS). Several randomized trials have tested FMT effects using different routes of administration, doses, and sample sizes. We aim to assess the overall efficacy of FMT for IBS patients and the safety of the intervention.
Yomna Ali Abdelghafar, Yossef Hassan AbdelQadir, Karam R. Motawea, Sara Amr Nasr, Hoda Aly Mohamed Omran, Mohamed Mohamed Belal, Mohamed Mahdy Elhashash, Ahmed Alaa AbdelAzim, Jaffer Shah   +8 more
wiley   +1 more source

An Application of Homotopy Perturbation Method to Fractional‐Order Thin Film Flow of the Johnson–Segalman Fluid Model

Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022
Thin film flow is an important theme in fluid mechanics and has many industrial applications. These flows can be observed in oil refinement process, laser cutting, and nuclear reactors. In this theoretical study, we explore thin film flow of non‐Newtonian Johnson–Segalman fluid on a vertical belt in fractional space in lifting and drainage scenarios ...
Mubashir Qayyum, Farnaz Ismail, Syed Inayat Ali Shah, Muhammad Sohail, Essam R. El-Zahar, K. C Gokul, Arshad Riaz   +6 more
wiley   +1 more source

Analysis of Unsteady Axisymmetric Squeezing Fluid Flow with Slip and No-Slip Boundaries Using OHAM [PDF]

Mathematical Problems in Engineering, 2015
In this manuscript, An unsteady axisymmetric flow of nonconducting, Newtonian fluid squeezed between two circular plates is studied with slip and no-slip boundaries. Using similarity transformation, the system of nonlinear partial differential equations is reduced to a single fourth order ordinary differential equation.
Qayyum, Mubashir, Khan, Hamid, Rahim, M. Tariq, Ullah, Inayat   +3 more
openaire   +2 more sources

Extended Residual Power Series Algorithm for Boundary Value Problems

Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022
In this article, modification of the residual power series method (RPSM) is proposed for higher order boundary value problems (BVPs). The proposed algorithm is tested against various linear and nonlinear BVPs of orders nine up to thirteen. For the efficiency check of RPSM, obtained series solutions are compared with other available results in the ...
Mubashir Qayyum, Qursam Fatima, Muhammad Sohail, Essam R. El-Zahar, K. C. Gokul, Angel Manuel Ramos   +5 more
wiley   +1 more source

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

Advances in Mathematical Physics, 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.
Zeeshan Ali, Shayan Naseri Nia, Faranak Rabiei, Kamal Shah, Ming Kwang Tan   +4 more
doaj   +1 more source

Analysis of Fractional Differential Equations with the Help of Different Operators

Advances in Mathematical Physics, Volume 2022, Issue 1, 2022., 2022
This study uses an Elzaki decomposition method with two fractional derivatives to solve a fractional nonlinear coupled system of Whitham‐Broer‐Kaup equations. For the fractional derivatives, we used Caputo and Atangana‐Baleanu derivatives in the Caputo manner.
Naveed Iqbal, Moteb Fheed Saad Al Harbi, Saleh Alshammari, Shamsullah Zaland, Muhammad Nadeem   +4 more
wiley   +1 more source

Numerical Investigation of Fractional‐Order Kawahara and Modified Kawahara Equations by a Semianalytical Method

Journal of Nanomaterials, Volume 2022, Issue 1, 2022., 2022
In this work, the optimal homotopy asymptotic method (OHAM) has been used to find approximate solutions to the nonlinear fractional‐order Kawahara and modified Kawahara equations. The method convergence is controlled by a flexible function known as the auxiliary function.
Weaam Alhejaili, Sharifah E. Alhazmi, Rashid Nawaz, Aatif Ali, Joshua Kiddy Kwasi Asamoah, Laiq Zada, Anwar Saeed   +6 more
wiley   +1 more source

Investigation of Three‐Dimensional Condensation Film Problem over an Inclined Rotating Disk Using a Nonlinear Autoregressive Exogenous Model

Computational Intelligence and Neuroscience, Volume 2022, Issue 1, 2022., 2022
This paper analyzed the three‐dimensional (3D) condensation film problem over an inclined rotating disk. The mathematical model of the problem is governed by nonlinear partial differential equations (NPDE’s), which are reduced to the system of nonlinear ordinary differential equations (NODE’s) using a similarity transformation.
Naveed Ahmad Khan, Muhammad Sulaiman, Ebenezer Bonyah, Jamel Seidu, Fahad Sameer Alshammari, Diego Oliva   +5 more
wiley   +1 more source

Optimal homotopy asymptotic method for flow and heat transfer of a viscoelastic fluid in an axisymmetric channel with a porous wall. [PDF]

PLoS ONE, 2013
In this article, an approximate analytical solution of flow and heat transfer for a viscoelastic fluid in an axisymmetric channel with porous wall is presented.
Fazle Mabood, Waqar A Khan, Ahmad Izani Md Ismail   +2 more
doaj   +1 more source