Approximate analytical solution of non-linear  reaction diffusion equation in fluidized bed biofilm reactor

Seetharaman Usha; Shanmugarajan Anitha; Lakshmanan Rajendran

doi:10.4236/ns.2012.412127

Approximate analytical solution of non-linear reaction diffusion equation in fluidized bed biofilm reactor

Natural Science ◽

10.4236/ns.2012.412127 ◽

2012 ◽

Vol 04 (12) ◽

pp. 983-991

Author(s):

Seetharaman Usha ◽

Shanmugarajan Anitha ◽

Lakshmanan Rajendran

Keyword(s):

Analytical Solution ◽

Diffusion Equation ◽

Fluidized Bed ◽

Approximate Analytical Solution ◽

Reaction Diffusion ◽

Biofilm Reactor ◽

Reaction Diffusion Equation ◽

Linear Reaction ◽

Non Linear

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Quasi wavelet numerical approach of non-linear reaction diffusion and integro reaction-diffusion equation with Atangana–Baleanu time fractional derivative

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2019.109456 ◽

2020 ◽

Vol 130 ◽

pp. 109456 ◽

Cited By ~ 1

Author(s):

Sachin Kumar ◽

Prashant Pandey

Keyword(s):

Diffusion Equation ◽

Fractional Derivative ◽

Reaction Diffusion ◽

Numerical Approach ◽

Reaction Diffusion Equation ◽

Linear Reaction ◽

Non Linear ◽

Time Fractional Derivative

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Akbari-Ganji's Method (AGM) for solving non-linear reaction - Diffusion equation in the electroactive polymer film

Journal of Electroanalytical Chemistry ◽

10.1016/j.jelechem.2019.04.061 ◽

2019 ◽

Vol 844 ◽

pp. 1-5 ◽

Cited By ~ 5

Author(s):

K.M. Dharmalingam ◽

M. Veeramuni

Keyword(s):

Diffusion Equation ◽

Polymer Film ◽

Reaction Diffusion ◽

Electroactive Polymer ◽

Reaction Diffusion Equation ◽

Linear Reaction ◽

Non Linear ◽

Electroactive Polymer Film

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Solution of a Non-Linear Reaction-Diffusion Equation

Defect and Diffusion Forum ◽

10.4028/www.scientific.net/ddf.49.1 ◽

1987 ◽

Vol 49 ◽

pp. 1-6

Keyword(s):

Diffusion Equation ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Linear Reaction ◽

Non Linear

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The effect of perturbed advection on a class of solutions of a non-linear reaction-diffusion equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2016.05.037 ◽

2016 ◽

Vol 290 ◽

pp. 33-45 ◽

Cited By ~ 1

Author(s):

N. Varatharajan ◽

Anirvan DasGupta

Keyword(s):

Diffusion Equation ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Linear Reaction ◽

Non Linear

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Exact analytical solution of the Cauchy problem for a linear reaction–diffusion equation with time-dependent coefficients and space–time-dependent source term

Applied Mathematics Letters ◽

10.1016/j.aml.2012.10.006 ◽

2013 ◽

Vol 26 (3) ◽

pp. 315-317 ◽

Cited By ~ 2

Author(s):

E. Mamontov

Keyword(s):

Cauchy Problem ◽

Analytical Solution ◽

Diffusion Equation ◽

Source Term ◽

Exact Analytical Solution ◽

Reaction Diffusion ◽

Time Dependent ◽

Reaction Diffusion Equation ◽

Linear Reaction ◽

The Cauchy Problem

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Approximate analytical solution for non-linear reaction diffusion equations in a mono-enzymatic biosensor involving Michaelis–Menten kinetics

Journal of Electroanalytical Chemistry ◽

10.1016/j.jelechem.2015.05.036 ◽

2015 ◽

Vol 751 ◽

pp. 119-127 ◽

Cited By ~ 8

Author(s):

O.M. Kirthiga ◽

L. Rajendran

Keyword(s):

Analytical Solution ◽

Approximate Analytical Solution ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Linear Reaction ◽

Non Linear ◽

Enzymatic Biosensor

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Feedback Stabilization of a 1-D Linear Reaction–Diffusion Equation With Delay Boundary Control

IEEE Transactions on Automatic Control ◽

10.1109/tac.2018.2849560 ◽

2019 ◽

Vol 64 (4) ◽

pp. 1415-1425 ◽

Cited By ~ 17

Author(s):

Christophe Prieur ◽

Emmanuel Trelat

Keyword(s):

Diffusion Equation ◽

Boundary Control ◽

Reaction Diffusion ◽

Feedback Stabilization ◽

Reaction Diffusion Equation ◽

Linear Reaction ◽

Equation With Delay

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A Legendre spectral finite difference method for the solution of non-linear space-time fractional Burger’s–Huxley and reaction-diffusion equation with Atangana–Baleanu derivative

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2019.109402 ◽

2020 ◽

Vol 130 ◽

pp. 109402 ◽

Cited By ~ 5

Author(s):

Sachin Kumar ◽

Prashant Pandey

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Diffusion Equation ◽

Linear Space ◽

Difference Method ◽

Reaction Diffusion ◽

Space Time ◽

Reaction Diffusion Equation ◽

Non Linear

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Analytical solution of system of coupled non-linear reaction diffusion equations. Part I: Mediated electron transfer at conducting polymer ultramicroelectrodes

Journal of Electroanalytical Chemistry ◽

10.1016/j.jelechem.2010.06.013 ◽

2010 ◽

Vol 647 (2) ◽

pp. 103-116 ◽

Cited By ~ 5

Author(s):

A. Meena ◽

L. Rajendran

Keyword(s):

Electron Transfer ◽

Analytical Solution ◽

Conducting Polymer ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Mediated Electron Transfer ◽

Linear Reaction ◽

Non Linear

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Analytical solution of system of coupled non-linear reaction diffusion equations. Part II: Direct reaction of substrate at underlying microdisc surface

Journal of Electroanalytical Chemistry ◽

10.1016/j.jelechem.2010.08.009 ◽

2010 ◽

Vol 650 (1) ◽

pp. 143-151 ◽

Cited By ~ 4

Author(s):

A. Meena ◽

L. Rajendran

Keyword(s):

Analytical Solution ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Direct Reaction ◽

Linear Reaction ◽

Non Linear

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