The wavelet methods to linear and nonlinear reaction–diffusion model arising in mathematical chemistry

2013 ◽  
Vol 51 (9) ◽  
pp. 2361-2385 ◽  
Author(s):  
M. Mahalakshmi ◽  
G. Hariharan ◽  
K. Kannan
Keyword(s):  
Diffusion Model ◽  
Reaction Diffusion ◽  
Mathematical Chemistry ◽  
Nonlinear Reaction ◽  
Reaction Diffusion Model ◽  
Linear And Nonlinear ◽  
Wavelet Methods

Traveling wavefronts of a nonlinear reaction–diffusion model of tumor growth under the acid environment

2014 ◽  
Vol 07 (03) ◽  
pp. 1450034
Author(s):  
Huiyan Zhu ◽  
Yang Luo ◽  
Xiufang Wang
Keyword(s):  
Diffusion Model ◽  
Perturbation Methods ◽  
Tumor Tissue ◽  
Reaction Diffusion ◽  
Traveling Wave Solution ◽  
Ion Concentration ◽  
Banach Fixed Point Theorem ◽  
Nonlinear Reaction ◽  
Reaction Diffusion Model ◽  
Acid Environment

In this paper, a reaction–diffusion model describing temporal development of tumor tissue, normal tissue and excess H+ ion concentration is considered. Based on a combination of perturbation methods, the Fredholm theory and Banach fixed point theorem, we theoretically justify the existence of the traveling wave solution for this model.

scholarly journals A solvable nonlinear reaction-diffusion model

1995 ◽  
Vol 198 (2) ◽  
pp. 100-104 ◽  
Author(s):  
Max-Olivier Hongler ◽  
Ricardo Lima
Keyword(s):  
Diffusion Model ◽  
Reaction Diffusion ◽  
Nonlinear Reaction ◽  
Reaction Diffusion Model
Sign in / Sign up

Export Citation Format

Share Document