[HTML][HTML] Spectral methods to solve nonlinear problems: A review

N Rai, S Mondal - Partial Differential Equations in Applied Mathematics, 2021 - Elsevier
The study is intended to give a brief overview of recent papers on spectral methods in
different types of fluid flow especially nanofluid flow. The survey does not presume to be …

Magnetohydrodynamic (MHD) boundary layer flow past a wedge with heat transfer and viscous effects of nanofluid embedded in porous media

W Ibrahim, A Tulu - Mathematical Problems in Engineering, 2019 - Wiley Online Library
The problem of two‐dimensional steady laminar MHD boundary layer flow past a wedge
with heat and mass transfer of nanofluid embedded in porous media with viscous …

[HTML][HTML] A numerical study of unsteady non-Newtonian Powell-Eyring nanofluid flow over a shrinking sheet with heat generation and thermal radiation

TM Agbaje, S Mondal, SS Motsa, P Sibanda - Alexandria Engineering …, 2017 - Elsevier
In this paper we investigate the unsteady boundary-layer flow of an incompressible Powell-
Eyring nanofluid over a shrinking surface. The effects of heat generation and thermal …

Thermal diffusivity of inclined magnetized Cross fluid with temperature dependent thermal conductivity: Spectral Relaxation scheme

A Darvesh, A Akgül, Y Elmasry… - Discover Applied …, 2024 - Springer
Understanding and controlling the thermal transport phenomena are crucial in numerous
applications. The current research emphasizes thermal diffusivity of an inclined magnetized …

MHD mixed convection flow of couple stress fluid over an oscillatory stretching sheet with thermophoresis and thermal diffusion using the overlapping multi-domain …

MP Mkhatshwa, SS Motsa, P Sibanda - International Journal of Applied …, 2021 - Springer
In this work, we introduce and apply the overlapping multi-domain bivariate spectral
relaxation method (OMD-BSRM) to scrutinize the unsteady MHD flow of a couple stress fluid …

Bioconvection in Casson nanofluid flow with gyrotactic microorganisms and variable surface heat flux

IS Oyelakin, S Mondal, P Sibanda… - International Journal of …, 2019 - World Scientific
This paper presents a two-dimensional unsteady laminar boundary layer mixed convection
flow heat and mass transfer along a vertical plate filled with Casson nanofluid located in a …

[HTML][HTML] Multi-domain multivariate spectral collocation method for (2+ 1) dimensional nonlinear partial differential equations

MP Mkhatshwa, M Khumalo, PG Dlamini - Partial Differential Equations in …, 2022 - Elsevier
The novelty of this work rests upon the use of the domain partitioning technique in time
variable when discretizing the domain of solution in spectral collocation algorithm. The …

Spectral quasilinearization method for solution of convective heating condition

W Ibrahim - Engineering Transactions, 2020 - et.ippt.gov.pl
This article aims to implement the spectral quasilinearization method to examine the impact
of a second-order slip flow and convective heating on boundary layer flow and heat transfer …

Unsteady mixed convection in nanofluid flow through a porous medium with thermal radiation using the Bivariate Spectral Quasilinearization method

IS Oyelakin, S Mondal, P Sibanda - Journal of Nanofluids, 2017 - ingentaconnect.com
In this paper, we have investigated the unsteady mixed convection flow and heat transfer in
a nanofluid with buoyancy, thermal radiation and double diffusive effects over a vertical plate …

Implementing the spectral relaxation method for MHD Casson and Williamson model under the effects of heat generation and viscous dissipation

MM Khader, M Adel - Mathematical Methods in the Applied …, 2022 - Wiley Online Library
The nonlinear system of ordinary differential equations (ODEs) that represents the model of
non‐Newtonian Casson and Williamson fluid flow and heat mass transfer on the slendering …