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

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 ◽  
Adi Scheme ◽  
Compact Adi Scheme

scholarly journals Some New Traveling Wave Solutions of the Nonlinear Reaction Diffusion Equation by Using the Improved (G′/G)-Expansion Method

2012 ◽  
Vol 2012 ◽  
pp. 1-17 ◽  
Author(s):  
Hasibun Naher ◽  
Farah Aini Abdullah
Keyword(s):  
Diffusion Equation ◽  
Traveling Wave ◽  
Traveling Wave Solutions ◽  
Reaction Diffusion ◽  
Expansion Method ◽  
Reaction Diffusion Equation ◽  
Wave Solutions ◽  
Nonlinear Reaction ◽  
Nonlinear Reaction Diffusion Equation ◽  
Constant Coefficients

We construct new exact traveling wave solutions involving free parameters of the nonlinear reaction diffusion equation by using the improved (G′/G)-expansion method. The second-order linear ordinary differential equation with constant coefficients is used in this method. The obtained solutions are presented by the hyperbolic and the trigonometric functions. The solutions become in special functional form when the parameters take particular values. It is important to reveal that our solutions are in good agreement with the existing results.

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