Analytical and numerical solutions for axisymmetric flow of nanofluid due to non-linearly stretching sheet

M Mustafa, JA Khan, T Hayat, A Alsaedi - International Journal of Non …, 2015 - Elsevier
This article reports the laminar axisymmetric flow of nanofluid over a non-linearly stretching
sheet. The model used for nanofluid contains the simultaneous effects of Brownian motion …

Estimating the approximate analytical solution of HIV viral dynamic model by using homotopy analysis method

PA Naik, J Zu, M Ghoreishi - Chaos, Solitons & Fractals, 2020 - Elsevier
Viruses have different mechanisms in causing a disease in an organism, which largely
depend on the viral species. The recent advancement, through coupling data analysis and …

Stability analysis and approximate solution of SIR epidemic model with Crowley-Martin type functional response and holling type-Ⅱ treatment rate by using homotopy …

PA Naik, J Zu, M Ghoreishi - Journal of applied analysis & …, 2020 - jaac-online.com
In this paper, SIR epidemic model with Crowley-Martin type functional response and Holling
type-Ⅱ treatment rate is investigated. The analysis of the model shows that it has two …

Comparison between homotopy perturbation method and optimal homotopy asymptotic method for the soliton solutions of Boussinesq–Burger equations

AK Gupta, SS Ray - Computers & Fluids, 2014 - Elsevier
In this article, a comparative study between homotopy perturbation method (HPM) and
optimal homotopy asymptotic method (OHAM) is presented. Homotopy perturbation method …

Numerical and analytical solutions for Falkner–Skan flow of MHD Maxwell fluid

S Abbasbandy, R Naz, T Hayat, A Alsaedi - Applied Mathematics and …, 2014 - Elsevier
Numerical and analytical solutions for Falkner–Skan flow of MHD Maxwell fluid - ScienceDirect
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[KÖNYV][B] Wavelet methods for solving partial differential equations and fractional differential equations

SS Ray, AK Gupta - 2018 - taylorfrancis.com
The main focus of the book is to implement wavelet based transform methods for solving
problems of fractional order partial differential equations arising in modelling real physical …

[PDF][PDF] Approximate solution of a nonlinear fractional-order HIV model using homotopy analysis method.

PA Naik, M Ghoreishi, J Zu - International Journal of Numerical …, 2022 - math.ualberta.ca
In the present paper, we propose and analyze a nonlinear fractional-order SEIR (susceptible-
exposed-infected-recovered) epidemic model to transmit HIV. The fixed points of the model …

Usage of the homotopy analysis method for solving the nonlinear and linear integral equations of the second kind

E Hetmaniok, D Słota, T Trawiński, R Wituła - Numerical Algorithms, 2014 - Springer
The paper presents an application of the homotopy analysis method for solving the
nonlinear and linear integral equations of the second kind. In this method a series is created …

Series solutions of non-similarity boundary layer flows of nano-fluids over stretching surfaces

U Farooq, T Hayat, A Alsaedi, SJ Liao - Numerical Algorithms, 2015 - Springer
In this paper the convergent series solutions for the non-similarity flow of viscous fluid with
nanoparticles are given. Fundamental equations employed in the mathematical modelling …

On the Solutions of Fractional Burgers‐Fisher and Generalized Fisher's Equations Using Two Reliable Methods

AK Gupta, SS Ray - International Journal of Mathematics and …, 2014 - Wiley Online Library
Two reliable techniques, Haar wavelet method and optimal homotopy asymptotic method
(OHAM), are presented. Haar wavelet method is an efficient numerical method for the …