A nonlinear reaction-diffusion process using the Adomian decomposition method

International Communications in Heat and Mass Transfer

Volumn 34, Issue 2, 2007, Pages 129-135

  Lesnic, D ^a  

^a UNIVERSITY OF LEEDS   (United Kingdom)

Author keywords

Decomposition method; Nonlinear ordinary differential equations; Reaction diffusion equation

Indexed keywords

BOUNDARY CONDITIONS; CONVERGENCE OF NUMERICAL METHODS; ORDINARY DIFFERENTIAL EQUATIONS; STEADY FLOW;

ADOMIAN DECOMPOSITION METHOD; DIRICHLET BOUNDARY CONDITIONS; REACTION-DIFFUSION PROCESS;

DIFFUSION;

BOUNDARY CONDITIONS; CONVERGENCE OF NUMERICAL METHODS; DIFFUSION; ORDINARY DIFFERENTIAL EQUATIONS; STEADY FLOW;

EID: 33846625552     PISSN: 07351933     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.icheatmasstransfer.2006.11.005     Document Type: Article

References (10)

1. Adomian G. Solving Frontier Problems of Physics: The Decomposition Method (1994), Kluwer Academic Publ, Dordrecht
2. Adomian G. Nonlinear stochastics differential equations. Journal of Mathematical Analysis and Applications 55 (1976) 441-452
3. Adomian G., and Rach R. Nonlinear differential equations with negative power nonlinearities. Journal of Mathematical Analysis and Applications 112 (1985) 497-501
4. Adomian G., Rach R., and Sarafyan D. On the solution of equations containing radicals by the decomposition method. Journal of Mathematical Analysis and Applications 111 (1985) 423-426
5. Adomian G., and Rach R. Solving nonlinear differential equations with decimal power nonlinearities. Journal of Mathematical Analysis and Applications 114 (1986) 423-425
6. Adomian G. A review of the decomposition method in applied mathematics. Journal of Mathematical Analysis and Applications 135 (1988) 501-544
7. Korman P. Average temperature in a reaction-diffusion process. SIAM Review 40 (1998) 382-385
8. Adomian G., and Rach R. Modified decomposition solution of linear and nonlinear boundary-value problems. Nonlinear Analysis, Theory, Methods and Applications 23 (1994) 615-619
9. Wazwaz A.M. A reliable algorithm for obtaining positive solutions for nonlinear boundary value problems. Computers and Mathematics with Applications 41 (2001) 1237-1244
10. Wazwaz A.M. A note on using Adomian decomposition method for solving boundary value problems. Foundations of Physics Letters 13 (2000) 493-498