On the numerical solution of singular two-point boundary value problems: A domain decomposition homotopy perturbation approach
Sign Up to like & getrecommendations! Published in 2017 at "Mathematical Methods in The Applied Sciences"
DOI: 10.1002/mma.4536
Abstract: This paper reports a modified homotopy perturbation algorithm, called the domain decomposition homotopy perturbation method (DDHPM), for solving two-point singular boundary value problems arising in science and engineering. The essence of the approach is to… read more here.
Keywords: homotopy perturbation; two point; decomposition homotopy; domain decomposition ... See more keywords
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
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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
The polymerase chain reaction model analyzed by the homotopy perturbation method
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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
Adomian decomposition and homotopy perturbation method for the solution of time fractional partial integro-differential equations
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DOI: 10.1007/s12190-021-01613-x
Abstract: This article deals with two different methods to solve a time fractional partial integro-differential equation. The fractional derivatives are defined here in Caputo sense. The model problem is solved using the Adomian decomposition method and… read more here.
Keywords: fractional partial; integro differential; time fractional; partial integro ... See more keywords
Stability Configuration of a Rocking Rigid Rod over a Circular Surface Using the Homotopy Perturbation Method and Laplace Transform
Sign Up to like & getrecommendations! Published in 2019 at "Arabian Journal for Science and Engineering"
DOI: 10.1007/s13369-018-03705-6
Abstract: The current paper is concerned with the motion of a rocking uniform rigid rod, without slipping, over a rigid circular surface. The governing equation of motion resulted in a highly nonlinear second-order ordinary differential equation.… read more here.
Keywords: circular surface; homotopy perturbation; rigid rod; method ... 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;
Analysis of subsurface drainage of sloping lands using the homotopy perturbation method
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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
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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
Solutions of time-fractional third- and fifth-order Korteweg–de-Vries equations using homotopy perturbation transform method
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DOI: 10.1108/ec-01-2019-0012
Abstract: Purpose This study aims to find the solution of time-fractional Korteweg–de-Vries (tfKdV) equations which may be used for modeling various wave phenomena using homotopy perturbation transform method (HPTM). Design/methodology/approach HPTM, which consists of mainly two… read more here.
Keywords: order; using homotopy; homotopy perturbation; time fractional ... See more keywords