[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 …

Heat and mass transfer in unsteady rotating fluid flow with binary chemical reaction and activation energy

FG Awad, S Motsa, M Khumalo - PloS one, 2014 - journals.plos.org
In this study, the Spectral Relaxation Method (SRM) is used to solve the coupled highly
nonlinear system of partial differential equations due to an unsteady flow over a stretching …

Spectral relaxation method and spectral quasilinearization method for solving unsteady boundary layer flow problems

SS Motsa, PG Dlamini… - Advances in Mathematical …, 2014 - Wiley Online Library
Nonlinear partial differential equations (PDEs) modelling unsteady boundary‐layer flows are
solved by the spectral relaxation method (SRM) and the spectral quasilinearization method …

Hybridization of the swarming and interior point algorithms to solve the Rabinovich–Fabrikant system

Z Sabir, SB Said, Q Al-Mdallal - Scientific reports, 2023 - nature.com
In this study, a trustworthy swarming computing procedure is demonstrated for solving the
nonlinear dynamics of the Rabinovich–Fabrikant system. The nonlinear system's dynamic …

Unusual dynamics and hidden attractors of the Rabinovich–Fabrikant system

MF Danca, N Kuznetsov, G Chen - Nonlinear Dynamics, 2017 - Springer
This paper presents some numerical evidence of unusual dynamics and hidden chaotic
attractors of the Rabinovich–Fabrikant system, with some insightful descriptions and …

Heuristic computing with active set method for the nonlinear Rabinovich–Fabrikant model

Z Sabir, D Baleanu, SE Alhazmi, SB Said - Heliyon, 2023 - cell.com
The current study shows a reliable stochastic computing heuristic approach for solving the
nonlinear Rabinovich-Fabrikant model. This nonlinear model contains three ordinary …

Numerical simulation for COVID-19 model using a multidomain spectral relaxation technique

M Adel, MM Khader, TA Assiri, W Kallel - Symmetry, 2023 - mdpi.com
The major objective of this work is to evaluate and study the model of coronavirus illness by
providing an efficient numerical solution for this important model. The model under …

Hydromagnetic stagnation‐point flow towards a radially stretching convectively heated disk

S Shateyi, OD Makinde - Mathematical Problems in …, 2013 - Wiley Online Library
The steady stagnation‐point flow and heat transfer of an electrically conducted
incompressible viscous fluid are extended to the case where the disk surface is convectively …

Looking more closely at the Rabinovich–Fabrikant system

MF Danca, M Feckan, N Kuznetsov… - International Journal of …, 2016 - World Scientific
Recently, we looked more closely into the Rabinovich–Fabrikant system, after a decade of
study [Danca & Chen, 2004], discovering some new characteristics such as cycling chaos …

A new numerical approach for MHD laminar boundary layer flow and heat transfer of nanofluids over a moving surface in the presence of thermal radiation

S Shateyi, J Prakash - Boundary value problems, 2014 - Springer
Numerical analysis has been carried out on the problem of magnetohydrodynamic boundary
layer flow of a nanofluid over a moving surface in the presence of thermal radiation. The …