Application of Homotopy Perturbation Method for the Reaction-diffusion Equation

International Journal of Nonlinear Sciences and Numerical Simulation ◽

10.1515/ijnsns.2010.11.s1.61 ◽

2010 ◽

Vol 11 (Supplement) ◽

Author(s):

Jun Yu ◽

Jian-Gang Huang

Keyword(s):

Diffusion Equation ◽

Perturbation Method ◽

Homotopy Perturbation Method ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Homotopy Perturbation

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A new modification to homotopy perturbation method combined with Fourier transform for solving nonlinear Cauchy reaction diffusion equation

Indian Journal of Physics ◽

10.1007/s12648-014-0511-9 ◽

2014 ◽

Vol 89 (1) ◽

pp. 61-71 ◽

Author(s):

S S Nourazar ◽

A Nazari-Golshan

Keyword(s):

Fourier Transform ◽

Diffusion Equation ◽

Perturbation Method ◽

Homotopy Perturbation Method ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Homotopy Perturbation

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Reaction/Diffusion Equation with Michaelis-Menten Kinetics in Microdisk Biosensor: Homotopy Perturbation Method Approach

International Journal of Electrochemical Science ◽

10.20964/2019.04.13 ◽

2019 ◽

pp. 3777-3791 ◽

Author(s):

R Swaminathan ◽

Keyword(s):

Diffusion Equation ◽

Perturbation Method ◽

Homotopy Perturbation Method ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Homotopy Perturbation ◽

Method Approach

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Comparative Study of Homotopy Perturbation Method with Differential Transformation Method to Solve a Reaction Diffusion Equation

Indian Journal of Science and Technology ◽

10.17485/ijst/2017/v10i30/115495 ◽

2017 ◽

Vol 10 (30) ◽

pp. 1-9 ◽

Author(s):

Ravendra Singh ◽

Anoop Kumar ◽

◽

Keyword(s):

Diffusion Equation ◽

Comparative Study ◽

Perturbation Method ◽

Homotopy Perturbation Method ◽

Reaction Diffusion ◽

Transformation Method ◽

Reaction Diffusion Equation ◽

Differential Transformation Method ◽

Differential Transformation ◽

Homotopy Perturbation

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Series solution of fuzzy linear Cauchy reaction-diffusion equation by using homotopy perturbation method

10.1063/1.5012155 ◽

2017 ◽

Author(s):

Sarmad A. Altaie ◽

Azizan Saaban ◽

Ali F. Jameel

Keyword(s):

Diffusion Equation ◽

Perturbation Method ◽

Series Solution ◽

Homotopy Perturbation Method ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Homotopy Perturbation

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Homotopy perturbation method to time-fractional diffusion equation with a moving boundary condition

Applied Mathematics and Computation ◽

10.1016/j.amc.2008.12.023 ◽

2009 ◽

Vol 208 (2) ◽

pp. 434-439 ◽

Author(s):

Xicheng Li ◽

Mingyu Xu ◽

Xiaoyun Jiang

Keyword(s):

Boundary Condition ◽

Diffusion Equation ◽

Perturbation Method ◽

Homotopy Perturbation Method ◽

Moving Boundary ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Homotopy Perturbation ◽

Moving Boundary Condition ◽

Time Fractional Diffusion Equation

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Solution of different geometries reflected reactors neutron diffusion equation using the homotopy perturbation method

Results in Physics ◽

10.1016/j.rinp.2018.11.025 ◽

2019 ◽

Vol 12 ◽

pp. 61-66 ◽

Author(s):

Mohammed Shqair

Keyword(s):

Diffusion Equation ◽

Perturbation Method ◽

Homotopy Perturbation Method ◽

Neutron Diffusion ◽

Homotopy Perturbation ◽

Neutron Diffusion Equation

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Calculation of the neutron diffusion equation by using Homotopy Perturbation Method

10.1063/1.4944130 ◽

2016 ◽

Author(s):

H. Koklu ◽

A. Ersoy ◽

M. C. Gulecyuz ◽

O. Ozer

Keyword(s):

Diffusion Equation ◽

Perturbation Method ◽

Homotopy Perturbation Method ◽

Neutron Diffusion ◽

Homotopy Perturbation ◽

Neutron Diffusion Equation

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Homotopy perturbation method for a limit case Stefan problem governed by fractional diffusion equation

Applied Mathematical Modelling ◽

10.1016/j.apm.2012.07.047 ◽

2013 ◽

Vol 37 (5) ◽

pp. 3589-3599 ◽

Author(s):

Rajeev ◽

M.S. Kushwaha

Keyword(s):

Diffusion Equation ◽

Perturbation Method ◽

Stefan Problem ◽

Homotopy Perturbation Method ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Homotopy Perturbation

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Numerical Solution of Nonlinear Diffusion Equation with Convection Term by Homotopy Perturbation Method

IOSR Journal of Mathematics ◽

10.9790/5728-10111317 ◽

2014 ◽

Vol 10 (1) ◽

pp. 13-17

Author(s):

Saad A. Manaa ◽

◽

Fadhil H. Easif ◽

Bewar A. Mahmood

Keyword(s):

Diffusion Equation ◽

Perturbation Method ◽

Numerical Solution ◽

Nonlinear Diffusion ◽

Homotopy Perturbation Method ◽

Nonlinear Diffusion Equation ◽

Convection Term ◽

Homotopy Perturbation

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A solution of the neutron diffusion equation in hemispherical symmetry using the homotopy perturbation method

Annals of Nuclear Energy ◽

10.1016/j.anucene.2009.09.001 ◽

2009 ◽

Vol 36 (11-12) ◽

pp. 1711-1717 ◽

Author(s):

Kafa Khasawneh ◽

Saed Dababneh ◽

Zaid Odibat

Keyword(s):

Diffusion Equation ◽

Perturbation Method ◽

Homotopy Perturbation Method ◽

Neutron Diffusion ◽

Homotopy Perturbation ◽

Neutron Diffusion Equation

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