scholarly journals On Solutions to Nonlinear Reaction–Diffusion–Convection Equations with Degenerate Diffusion

2001 ◽  
Vol 170 (1) ◽  
pp. 1-21 ◽  
Author(s):  
Yunguang Lu ◽  
Willi Jäger
Keyword(s):  
Reaction Diffusion ◽  
Degenerate Diffusion ◽  
Nonlinear Reaction ◽  
Diffusion Convection

Symmetries, ansätze and exact solutions of nonlinear second-order evolution equations with convection terms, II

2006 ◽  
Vol 17 (5) ◽  
pp. 597-605 ◽  
Author(s):  
ROMAN CHERNIHA ◽  
MYKOLA SEROV
Keyword(s):  
Exact Solutions ◽  
Evolution Equations ◽  
Applied Mathematics ◽  
Reaction Diffusion ◽  
Second Order ◽  
Lie Symmetries ◽  
Nonlinear Reaction ◽  
Diffusion Convection ◽  
Natural Way

New results concerning Lie symmetries of nonlinear reaction-diffusion-convection equations, which supplement in a natural way the results published in the European Journal of Applied Mathematics (9(1998) 527–542) are presented.

scholarly journals Residual power series method for solving nonlinear reaction-diffusion-convection problems

2021 ◽  
Vol 39 (3) ◽  
pp. 177-188
Author(s):  
Maisa Khader ◽  
Mahmoud H. DarAssi
Keyword(s):  
Power Series ◽  
Reaction Diffusion ◽  
Approximate Solutions ◽  
Series Method ◽  
Power Series Method ◽  
Residual Power Series Method ◽  
Nonlinear Reaction ◽  
Residual Power Series ◽  
Diffusion Convection ◽  
Residual Power

In this paper, the residual power series method (RPSM) is applied to one of the most frequently used models in engineering and science, a nonlinear reaction diffusion convection initial value problems. The approximate solutions using the RPSM were compared to the exact solutions and to the approximate solutions using the homotopy analysis method.

scholarly journals Nonlinear Reaction-Diffusion-Convection Equations

2017 ◽  
Author(s):  
Roman Cherniha ◽  
Mykola Serov ◽  
Oleksii Pliukhin
Keyword(s):  
Reaction Diffusion ◽  
Nonlinear Reaction ◽  
Diffusion Convection

Reaction–diffusion–convection equations in two spatial dimensions; continuous and discrete dynamics

2021 ◽  
pp. 2150186
Author(s):  
A. S. Carstea
Keyword(s):  
Reaction Diffusion ◽  
Auxiliary Function ◽  
Discrete Dynamics ◽  
Two Dimensional ◽  
Independent Variables ◽  
Nonlinear Reaction ◽  
Spatial Dimensions ◽  
Spatio Temporal ◽  
Diffusion Convection ◽  
Hirota Bilinear

In this paper, we investigate some two-dimensional (with respect to spatial independent variables) reaction–diffusion–convection equations with various nonlinear (reaction) terms. Using Hirota bilinear formalism with a free auxiliary function, we obtain kink solutions and many spatio-temporal discretizations having birational form.

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