Buoyancy effects on nanoliquids film flow through a porous medium with gyrotactic microorganisms and cubic autocatalysis chemical reaction

S Zuhra, NS Khan, M Alam, S Islam… - Advances in …, 2020 - journals.sagepub.com
This article is based on the mathematical model constructed to analyze the simultaneous
flow and heat transfer of two nanoliquids (Casson and Williamson) in the presence of …

An optimal homotopy-analysis approach for strongly nonlinear differential equations

S Liao - Communications in Nonlinear Science and Numerical …, 2010 - Elsevier
In this paper, an optimal homotopy-analysis approach is described by means of the
nonlinear Blasius equation as an example. This optimal approach contains at most three …

[КНИГА][B] Nonlinear dynamical systems in engineering: Some approximate approaches

V Marinca, N Herisanu - 2012 - books.google.com
This book presents and extend different known methods to solve different types of strong
nonlinearities encountered by engineering systems. A better knowledge of the classical …

[HTML][HTML] Simulation of bioconvection in the suspension of second grade nanofluid containing nanoparticles and gyrotactic microorganisms

S Zuhra, NS Khan, Z Shah, S Islam, E Bonyah - Aip Advances, 2018 - pubs.aip.org
A time dependent symmetric flow with heat transmission of a second-grade fluid containing
nanoparticles and gyrotactic microorganisms between two parallel plates in two dimensions …

Numerical investigation on nanofluid flow between two inclined stretchable walls by Optimal Homotopy Analysis Method

U Biswal, S Chakraverty, BK Ojha… - Journal of Computational …, 2022 - Elsevier
This article aims to investigate the flow of water-based nanofluid between two inclined
planes that are permitted to stretch/shrink. The Optimal Homotopy Analysis Method (OHAM) …

Determination of periodic solutions for the motion of a particle on a rotating parabola by means of the optimal homotopy asymptotic method

V Marinca, N Herişanu - Journal of Sound and Vibration, 2010 - Elsevier
This paper deals with the nonlinear oscillations of a particle which moves on a rotating
parabola. An analytic approximate technique, namely optimal homotopy asymptotic method …

Application of optimal homotopy asymptotic method for the analytic solution of singular Lane–Emden type equation

S Iqbal, A Javed - Applied Mathematics and Computation, 2011 - Elsevier
In this study, optimal homotopy asymptotic method is applied on singular initial value Lane–
Emden type problems to check the effectiveness and performance of the method. It is …

[HTML][HTML] Exploration of temperature dependent thermophysical characteristics of yield exhibiting non-Newtonian fluid flow under gyrotactic microorganisms

M Sohail, R Naz, Z Shah, P Kumam, P Thounthong - AIP Advances, 2019 - pubs.aip.org
Mathematical analysis of the variable thermophysical features of the three-dimensional flow
of a non-Newtonian yield manifesting liquid with heat and mass transport in the presence of …

[HTML][HTML] MHD flow and heat transfer over a porous shrinking surface with velocity slip and temperature jump

L Zheng, J Niu, X Zhang, Y Gao - Mathematical and Computer Modelling, 2012 - Elsevier
In this paper, the magnetohydrodynamic (MHD) flow and heat transfer over a porous
shrinking sheet with velocity slip and temperature jump are investigated. A new technique is …

[HTML][HTML] Dynamics on novel wave structures of non-linear Schrödinger equation via extended hyperbolic function method

SW Yao, N Ullah, HU Rehman, MS Hashemi… - Results in Physics, 2023 - Elsevier
In this study, our focus is on the construction of novel soliton solutions of non-linear
Schrödinger equation with parabolic law and non-local law non-linearities via new extended …