Results 11 to 20 of about 170 (111)

Heat transfer analysis of MHD thin film flow of an unsteady second grade fluid past a vertical oscillating belt. [PDF]

PLoS ONE, 2014
This article aims to study the thin film layer flowing on a vertical oscillating belt. The flow is considered to satisfy the constitutive equation of unsteady second grade fluid.
Taza Gul, Saeed Islam, Rehan Ali Shah, Ilyas Khan, Asma Khalid, Sharidan Shafie   +5 more
doaj   +2 more sources

Applications of Optimal Homotopy Asymptotic Method (OHAM) to Tenth Order Boundary Value Problem

Lecture Notes in Civil Engineering
AbstractThe aim of this paper is to apply the Optimal Homotopy Asymptotic Method (OHAM), a semi-numerical and semi-analytic technique for solving linear and nonlinear Tenth order boundary value problems. The approximate solution of the problem is calculated in terms of a rapidly convergent series.
Qayyum Shāh, Shāh Qayyum
openaire   +3 more sources

Thin film flow in MHD third grade fluid on a vertical belt with temperature dependent viscosity. [PDF]

PLoS ONE, 2014
In this work, we have carried out the influence of temperature dependent viscosity on thin film flow of a magnetohydrodynamic (MHD) third grade fluid past a vertical belt.
Taza Gul, Saed Islam, Rehan Ali Shah, Ilyas Khan, Sharidan Shafie   +4 more
doaj   +2 more sources

Investigation of Three-Dimensional Condensation Film Problem over an Inclined Rotating Disk Using a Nonlinear Autoregressive Exogenous Model. [PDF]

Comput Intell Neurosci, 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.
Khan NA, Sulaiman M, Bonyah E, Seidu J, Alshammari FS.   +4 more
europepmc   +2 more sources

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

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

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

Numerical and Analytical Simulations of Nonlinear Time Fractional Advection and Burger’s Equations

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
In this paper, the higher nonlinear problems of fractional advection‐diffusion equations and systems of nonlinear fractional Burger’s equations are solved by using two sophisticated procedures, namely, the q‐homotopy analysis transform method and the residual power series method. The proposed methods are implemented with the Caputo operator.
Hassan Khan, Qasim Khan, Fairouz Tchier, Ibrarullah, Evren Hincal, Gurpreet Singh, F. M. O. Tawfiq, Shahbaz Khan, Yusuf Gurefe   +8 more
wiley   +1 more source

Optimal Homotopy Asymptotic Analysis of the Dynamics of Eyring‐Powell Fluid due to Convection Subject to Thermal Stratification and Heat Generation Effect

Abstract and Applied Analysis, Volume 2022, Issue 1, 2022., 2022
In the present study, the effect of thermal stratification and heat generation in the boundary layer flow of the Eyring‐Powell fluid over the stratified extending surface due to convection has been investigated. The governing equations of the flow are transformed from partial differential equations into a couple of nonlinear ordinary differential ...
Solomon Bati Kejela, Emiru Rufo Adula, Devendra Kumar   +2 more
wiley   +1 more source

A Novel Analysis of Generalized Perturbed Zakharov–Kuznetsov Equation of Fractional‐Order Arising in Dusty Plasma by Natural Transform Decomposition Method

Journal of Nanomaterials, Volume 2022, Issue 1, 2022., 2022
The natural transform decomposition method (NTDM) is a relatively new transformation method for finding an approximate differential equation solution. In the current study, the NTDM has been used for obtaining an approximate solution of the fractional‐order generalized perturbed Zakharov–Kuznetsov (GPZK) equation.
Sharifah E. Alhazmi, Shaimaa A. M. Abdelmohsen, Maryam Ahmed Alyami, Aatif Ali, Joshua Kiddy K. Asamoah, Taza Gul   +5 more
wiley   +1 more source