Fourth order Douglas implicit scheme for solving three dimension reaction diffusion equation with non-linear source term

AIP Advances ◽

10.1063/1.4986322 ◽

2017 ◽

Vol 7 (7) ◽

pp. 075011 ◽

Author(s):

Shahid Hasnain ◽

Muhammad Saqib ◽

Daoud Suleiman Mashat

Keyword(s):

Diffusion Equation ◽

Fourth Order ◽

Source Term ◽

Reaction Diffusion ◽

Implicit Scheme ◽

Reaction Diffusion Equation ◽

Three Dimension ◽

Linear Source ◽

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THE BLOWING-UP PHENOMENON FOR A REACTION DIFFUSION EQUATION WITH A LOCALIZED NON LINEAR SOURCE TERM AND DIRICHLET-NEUMANN BOUNDARY CONDITIONS

Journal of Mathematical Sciences Advances and Applications ◽

10.18642/jmsaa_7100122103 ◽

2020 ◽

Vol 60 (1) ◽

pp. 1-37

Author(s):

Halima Nachid ◽

◽

Firmin K. N’Gohisse ◽

Yoro Gozo ◽

◽

...

Keyword(s):

Diffusion Equation ◽

Boundary Conditions ◽

Source Term ◽

Neumann Boundary ◽

Reaction Diffusion ◽

Neumann Boundary Conditions ◽

Reaction Diffusion Equation ◽

Linear Source ◽

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Mixed finite element method for the nonlinear time-fractional stochastic fourth-order reaction–diffusion equation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2020.12.004 ◽

2021 ◽

Vol 84 ◽

pp. 39-55

Author(s):

Xinfei Liu ◽

Xiaoyuan Yang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Equation ◽

Fourth Order ◽

Mixed Finite Element ◽

Reaction Diffusion ◽

Mixed Finite Element Method ◽

Order Reaction ◽

Reaction Diffusion Equation ◽

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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 ◽

Author(s):

Sachin Kumar ◽

Prashant Pandey

Keyword(s):

Diffusion Equation ◽

Fractional Derivative ◽

Reaction Diffusion ◽

Numerical Approach ◽

Reaction Diffusion Equation ◽

Linear Reaction ◽

Time Fractional Derivative

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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 ◽

Author(s):

Sachin Kumar ◽

Prashant Pandey

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Diffusion Equation ◽

Linear Space ◽

Difference Method ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

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A high-order numerical method for solving the 2D fourth-order reaction-diffusion equation

Numerical Algorithms ◽

10.1007/s11075-018-0509-z ◽

2018 ◽

Vol 80 (3) ◽

pp. 849-877 ◽

Author(s):

Haixiang Zhang ◽

Xuehua Yang ◽

Da Xu

Keyword(s):

Diffusion Equation ◽

Numerical Method ◽

Fourth Order ◽

Reaction Diffusion ◽

Order Reaction ◽

Reaction Diffusion Equation

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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 ◽

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NONLINEAR STABILITY OF UNIFORM STEADY STATES AND PRESERVATION OF SIGN FOR A TWO-DIMENSIONAL FOURTH-ORDER REACTION DIFFUSION EQUATION

Waves and Stability in Continuous Media ◽

10.1142/9789812773616_0007 ◽

2006 ◽

Author(s):

M.V. BARTUCCELLI

Keyword(s):

Diffusion Equation ◽

Fourth Order ◽

Nonlinear Stability ◽

Reaction Diffusion ◽

Steady States ◽

Order Reaction ◽

Reaction Diffusion Equation ◽

Two Dimensional

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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 ◽

Author(s):

K.M. Dharmalingam ◽

M. Veeramuni

Keyword(s):

Diffusion Equation ◽

Polymer Film ◽

Reaction Diffusion ◽

Electroactive Polymer ◽

Reaction Diffusion Equation ◽

Linear Reaction ◽

Electroactive Polymer Film

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A fourth-order compact ADI scheme for two-dimensional Riesz space fractional nonlinear reaction–diffusion equation

International Journal of Computer Mathematics ◽

10.1080/00207160.2019.1671587 ◽

2019 ◽

Vol 97 (9) ◽

pp. 1928-1948 ◽

Author(s):

Dongdong Hu ◽

Xuenian Cao

Keyword(s):

Diffusion Equation ◽

Fourth Order ◽

Reaction Diffusion ◽

Riesz Space ◽

Reaction Diffusion Equation ◽

Two Dimensional ◽

Nonlinear Reaction ◽

Nonlinear Reaction Diffusion Equation ◽

Compact Adi Scheme

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A Linearized Second-Order Difference Scheme for the Nonlinear Time-Fractional Fourth-Order Reaction-Diffusion Equation

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.oa-2017-0144 ◽

2019 ◽

Vol 12 (4) ◽

pp. 1168-1189 ◽

Author(s):

global sci

Keyword(s):

Diffusion Equation ◽

Difference Scheme ◽

Fourth Order ◽

Reaction Diffusion ◽

Order Reaction ◽

Second Order ◽

Reaction Diffusion Equation ◽

Order Difference

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