Applying homotopy perturbation method to provide an analytical solution for Newtonian fluid flow on a porous flat plate
Sign Up to like & getrecommendations! Published in 2021 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7238
Abstract: This research work is going to apply the homotopy perturbation method to solve the problem of flowing Newtonian fluid on a flat plate. For this purpose, initially, the problem, including the governing equations and boundary… read more here.
Keywords: perturbation method; analytical solution; homotopy perturbation;
Unprecedented homotopy perturbation method for solving nonlinear equations in the enzymatic reaction of glucose in a spherical matrix
Sign Up to like & getrecommendations! Published in 2017 at "Bioprocess and Biosystems Engineering"
DOI: 10.1007/s00449-017-1865-0
Abstract: The theory of glucose-responsive composite membranes for the planar diffusion and reaction process is extended to a microsphere membrane. The theoretical model of glucose oxidation and hydrogen peroxide production in the chitosan-aliginate microsphere has been… read more here.
Keywords: method solving; unprecedented homotopy; homotopy perturbation; perturbation method ... See more keywords
Homotopy perturbation method for couple stresses effect on MHD peristaltic flow of a non-Newtonian nanofluid
Sign Up to like & getrecommendations! Published in 2018 at "Microsystem Technologies"
DOI: 10.1007/s00542-018-3895-1
Abstract: An analytical study is presented for couple stresses effects on MHD peristaltic transport of a non-Newtonian Jeffery nanofluid. The fluid flows through a porous media between co-axial tubes under long-wavelength assumption. The inner tube is… read more here.
Keywords: couple stresses; homotopy perturbation; perturbation method; non newtonian ... See more keywords
A High-Order Perturbation Method for an Investigation into Relativistic Stimulated Raman Back Scattering of a High Power Laser in Plasma
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Fusion Energy"
DOI: 10.1007/s10894-019-00228-2
Abstract: The relativistic stimulated Raman back scattering (SRBS) of a high power linearly polarized laser pulse in the plasma is investigated. The nonlinear coupled equations of Raman instabilities in the presence of combined effects of relativistic… read more here.
Keywords: perturbation method; order perturbation; relativistic stimulated;
The polymerase chain reaction model analyzed by the homotopy perturbation method
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Chemistry"
DOI: 10.1007/s10910-018-00998-8
Abstract: Polymerase chain reaction (PCR) is an enzyme controlled cyclic synthesis of copies of DNA molecules starting from a given template in the media containing free nucleotides, specific enzyme and some other chemicals. In some cases… read more here.
Keywords: homotopy perturbation; model; chain reaction; perturbation method ... See more keywords
A perturbation method for evaluating the magnetic field induced from an arbitrary, asymmetric ocean world analytically
Sign Up to like & getrecommendations! Published in 2022 at "Icarus"
DOI: 10.1016/j.icarus.2021.114840
Abstract: Magnetic investigations of icy moons have provided some of the most compelling evidence available confirming the presence of subsurface, liquid water oceans. In the exploration of ocean moons, especially Europa, there is a need for… read more here.
Keywords: method evaluating; magnetic field; perturbation method; field ... See more keywords
Analytical solution of the convection-diffusion equation for uniformly accessible rotating disk electrodes via the homotopy perturbation method
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Electroanalytical Chemistry"
DOI: 10.1016/j.jelechem.2017.05.053
Abstract: Abstract The mathematical problem corresponding to a one-electron reversible electron transfer at a rotating disk electrode is solved under transient and steady state conditions by using the homotopy perturbation method. Analytical solutions for the time-dependent… read more here.
Keywords: rotating disk; perturbation method; homotopy perturbation;
A biparametric perturbation method for the Föppl–von Kármán equations of bimodular thin plates
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.06.046
Abstract: Abstract In this study, a biparametric perturbation method is proposed to solve the Foppl–von Karman equations of bimodular thin plates subjected to a single load. First, by using two small parameters, one describes the bimodular… read more here.
Keywords: equations bimodular; method; perturbation method; bimodular thin ... See more keywords
Analysis of subsurface drainage of sloping lands using the homotopy perturbation method
Sign Up to like & getrecommendations! Published in 2020 at "ISH Journal of Hydraulic Engineering"
DOI: 10.1080/09715010.2020.1726214
Abstract: An analytical model is developed using the homotopy perturbation (HP) method for predicting explicitly the location of water table heights resulting from steady drainage of a homogeneous sloping aq... read more here.
Keywords: homotopy perturbation; perturbation method; using homotopy; drainage ... See more keywords
Quantum homotopy perturbation method for nonlinear dissipative ordinary differential equations
Sign Up to like & getrecommendations! Published in 2021 at "New Journal of Physics"
DOI: 10.1088/1367-2630/ac3eff
Abstract: While quantum computing provides an exponential advantage in solving linear differential equations, there are relatively few quantum algorithms for solving nonlinear differential equations. In our work, based on the homotopy perturbation method, we propose a… read more here.
Keywords: dissipative ordinary; nonlinear dissipative; perturbation method; homotopy perturbation ... See more keywords
Measuring Electron Density of Atmospheric Microwave Plasma Jet by Microwave Perturbation Method
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Instrumentation and Measurement"
DOI: 10.1109/tim.2022.3193173
Abstract: The microwave perturbation method (MPM) has been widely applied in measuring the electron density of low-pressure plasmas for its cheapness and convenience. However, it is difficult to measure the electron density of the atmospheric microwave… read more here.
Keywords: perturbation method; density; electron density; microwave perturbation ... See more keywords