Results 41 to 50 of about 835 (135)
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.This study presents a comprehensive numerical investigation of electromagnetohydrodynamic (EMHD) boundary‐layer flow and heat transfer of a ternary hybrid nanofluid comprising Fe3O4, carbon nanotubes (CNTs), and graphene oxide (GO) dispersed in engine oil.
Kifle Adula Duguma, Yeou Jiann Lim
wiley +1 more source
Approximate solutions of general perturbed KdV-Burgers equations
Electronic Journal of Differential Equations, 2014 In this article, we present some approximate analytical solutions to the general perturbed KdV-Burgers equation with nonlinear terms of any order by applying the homotopy analysis method (HAM). While compared with the Adomain decomposition method (ADM)
Baojian Hong, Dianchen Lu
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Numerical solution of time- and space-fractional coupled Burgers’ equations via homotopy algorithm
Alexandria Engineering Journal, 2016 In this paper, we constitute a homotopy algorithm basically extension of homotopy analysis method with Laplace transform, namely q-homotopy analysis transform method to solve time- and space-fractional coupled Burgers’ equations.
Jagdev Singh, Devendra Kumar, Ram Swroop
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Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.In modern industry, vibration control is crucial for equipment safety, and high‐precision instruments require effective vibration reduction. The homotopy analysis method (HAM) can solve nonlinear problems without relying on small‐parameter assumptions, overcoming the limitations of traditional approaches.
Yanwei Li +4 more
wiley +1 more source
Homotopy Analysis and Pade´ Methods for Solving Two Nonlinear Equations
Journal of Mathematical Extension, 2011 In this paper, we are giving analytic approximate solutions to nonlinear PDEs using the Homotopy Analysis Method (HAM) and Homotopy Pad´e Method(HPad´eM).
A. Golbabai, H. Kheiri, D. Ahmadian
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Walailak Journal of Science and Technology, 2013 In this paper, the homotopy analysis method was used to solve nonlinear parabolic-hyperbolic partial differential equations. Examples are presented here to show the usability of the method for such equations.
Mashallah MATINFAR +3 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This study employs the conformable fractional q‐Shehu homotopy analysis transform approach to investigate the nonlinear conformable time‐fractional Caudrey–Dodd–Gibbon–Sawada–Kotera equation incorporating a proportional delay term. Error analysis was performed for the results obtained with this method and the analytical solution.
Aslı Alkan +4 more
wiley +1 more source
Engineering Reports, Volume 7, Issue 12, December 2025.A computational model for analyzing heat and mass transfer in MHD viscoelastic nanofluid flow with Brownian motion, thermal radiation and chemical reaction are developed in this work. The findings demonstrate how flow stability, heat transfer, and solute distribution are impacted by these significant physical effects.
Tazin Tamanna, Sarder Firoz Ahmmed
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Impact of Temperature Variability on the Caputo Fractional Malaria Model
Engineering Reports, Volume 7, Issue 3, March 2025.This study aims to analyze the age related characteristics of malaria in human host by exploring Caputo fractional order models with temperature variability, that is looked into the combined effects of fractional order and temperature variability on malaria dynamics.
Dawit Kechine Menbiko +1 more
wiley +1 more source
Analytical treatment of system of KdV equations by Homotopy Perturbation Method (HPM) and Homotopy Analysis Method (HAM) [PDF]
Computational Ecology and Software, 2014 In this article the Homotopy Perturbation Method (HPM) and Homotopy Analysis Method (HAM) are applied to obtain analytic approximate solution to three system of nonlinear wave equations, namely two component evolutionary system of a homogeneous KdV ...
Hafiz Abdul Wahab +2 more
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