scholarly journals Numerical Solution of a Reaction-Diffusion System with Fast Reversible Reaction by Using Adomian’s Decomposition Method and He’s Variational Iteration Method

2012 ◽  
Vol 9 (2) ◽  
pp. 243-257
Author(s):  
Ann Jalal ◽  
Mohammed Al-Amr
Keyword(s):  
Numerical Solution ◽  
Iteration Method ◽  
Decomposition Method ◽  
Reaction Diffusion ◽  
Variational Iteration Method ◽  
Diffusion System ◽  
Reversible Reaction ◽  
Variational Iteration ◽  
Adomian’S Decomposition Method ◽  
He’S Variational Iteration Method

APPLICATION OF He's VARIATIONAL ITERATION METHOD AND ADOMIAN'S DECOMPOSITION METHOD TO PROCHHAMMER–CHREE EQUATION

2009 ◽  
Vol 23 (03) ◽  
pp. 435-446 ◽  
Author(s):  
D. D. GANJI ◽  
S. E. MIRMOHAMMADSADEGHI ◽  
M. SAFARI
Keyword(s):  
Excellent Agreement ◽  
Iteration Method ◽  
Decomposition Method ◽  
Variational Iteration Method ◽  
Variational Iteration ◽  
Adomian’S Decomposition Method ◽  
He’S Variational Iteration Method

In this paper, the He's variational iteration method and Adomian's decomposition method are employed to solve the Prochhammer–Chree equation which include various models. Results derived from the two methods are compared graphically. Figures illustrate that results obtained from both methods are in excellent agreement and show powerful reliability and efficiency of these methods.

Sign in / Sign up

Export Citation Format

Share Document