Late-time asymptotic solution of nonlinear advection-diffusion equations with equal exponents

Quarterly of Applied Mathematics ◽

10.1090/s0033-569x-2012-01312-8 ◽

2012 ◽

Vol 71 (2) ◽

pp. 289-310 ◽

Author(s):

François Fayard ◽

T. S. Ramakrishnan

Keyword(s):

Asymptotic Solution ◽

Diffusion Equations ◽

Late Time ◽

Advection Diffusion ◽

Nonlinear Advection

Download Full-text

Asymptotic solution of a nonlinear advection-diffusion equation

Quarterly of Applied Mathematics ◽

10.1090/s0033-569x-2011-01214-x ◽

2011 ◽

Vol 69 (2) ◽

pp. 389-401 ◽

Author(s):

R. de Loubens ◽

T. S. Ramakrishnan

Keyword(s):

Diffusion Equation ◽

Asymptotic Solution ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

Nonlinear Advection

Download Full-text

A linearization of a backward Euler scheme for a class of degenerate nonlinear advection–diffusion equations

Nonlinear Analysis ◽

10.1016/j.na.2004.09.038 ◽

2005 ◽

Vol 63 (5-7) ◽

pp. e1097-e1106 ◽

Author(s):

Koffi B. Fadimba

Keyword(s):

Diffusion Equations ◽

Euler Scheme ◽

Backward Euler Scheme ◽

Advection Diffusion ◽

Backward Euler ◽

Nonlinear Advection

Download Full-text

Nonlocal nonlinear advection-diffusion equations

Chinese Annals of Mathematics Series B ◽

10.1007/s11401-016-1071-4 ◽

2017 ◽

Vol 38 (1) ◽

pp. 281-292 ◽

Author(s):

Peter Constantin

Keyword(s):

Diffusion Equations ◽

Advection Diffusion ◽

Nonlinear Advection ◽

Nonlocal Nonlinear

Download Full-text

Preliminary tests of a hybrid numerical-asymptotic method for solving nonlinear advection-diffusion equations in a domain limited by a self-adjusting boundary

Mathematical and Computer Modelling ◽

10.1016/0895-7177(93)90026-u ◽

1993 ◽

Vol 17 (12) ◽

pp. 35-47 ◽

Author(s):

Eric Deleersnijder ◽

Michel Roland

Keyword(s):

Asymptotic Method ◽

Diffusion Equations ◽

Advection Diffusion ◽

Nonlinear Advection

Download Full-text

Solution of Nonlinear Advection-Diffusion Equations via Linear Fractional Map Type Nonlinear QCA

Journal of Quantum Information Science ◽

10.4236/jqis.2016.64017 ◽

2016 ◽

Vol 06 (04) ◽

pp. 263-295 ◽

Author(s):

Shinji Hamada ◽

Hideo Sekino

Keyword(s):

Diffusion Equations ◽

Advection Diffusion ◽

Nonlinear Advection ◽

Linear Fractional Map

Download Full-text

Integrated radial basis functions (IRBFs) to simulate nonlinear advection–diffusion equations with smooth and non-smooth initial data

Engineering With Computers ◽

10.1007/s00366-020-01039-2 ◽

2020 ◽

Author(s):

Ali Ebrahimijahan ◽

Mehdi Dehghan ◽

Mostafa Abbaszadeh

Keyword(s):

Initial Data ◽

Radial Basis Functions ◽

Basis Functions ◽

Diffusion Equations ◽

Smooth Initial Data ◽

Advection Diffusion ◽

Nonlinear Advection ◽

Download Full-text

Spreading speed and sharp asymptotic profiles of solutions in free boundary problems for nonlinear advection–diffusion equations

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2015.02.051 ◽

2015 ◽

Vol 428 (1) ◽

pp. 43-76 ◽

Author(s):

Yuki Kaneko ◽

Hiroshi Matsuzawa

Keyword(s):

Free Boundary ◽

Free Boundary Problems ◽

Spreading Speed ◽

Diffusion Equations ◽

Boundary Problems ◽

Advection Diffusion ◽

Nonlinear Advection

Download Full-text

General propagation lattice Boltzmann model for nonlinear advection-diffusion equations

Physical Review E ◽

10.1103/physreve.97.043310 ◽

2018 ◽

Vol 97 (4) ◽

Author(s):

Xiuya Guo ◽

Baochang Shi ◽

Zhenhua Chai

Keyword(s):

Lattice Boltzmann ◽

Lattice Boltzmann Model ◽

Diffusion Equations ◽

Advection Diffusion ◽

Nonlinear Advection ◽

Boltzmann Model

Download Full-text

A numerical scheme based on a solution of nonlinear advection–diffusion equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2004.02.019 ◽

2005 ◽

Vol 173 (1) ◽

pp. 39-55 ◽

Author(s):

Katsuhiro Sakai ◽

Isao Kimura

Keyword(s):

Numerical Scheme ◽

Diffusion Equations ◽

Advection Diffusion ◽

Nonlinear Advection

Download Full-text

A stability preserved time-integration method for nonlinear advection–diffusion-reaction processes

Journal of Mathematical Chemistry ◽

10.1007/s10910-021-01271-1 ◽

2021 ◽

Author(s):

Huseyin Tunc ◽

Murat Sari

Keyword(s):

Integration Method ◽

Time Integration ◽

Diffusion Reaction ◽

Time Integration Method ◽

Advection Diffusion ◽

Nonlinear Advection ◽

Reaction Processes

Download Full-text