The decomposition method for Cauchy reaction-diffusion problems

Applied Mathematics Letters

Volumn 20, Issue 4, 2007, Pages 412-418

  Lesnic, D ^a  

^a UNIVERSITY OF LEEDS   (United Kingdom)

Author keywords

Cauchy problems; Decomposition method; Reaction parameter; Reaction diffusion equation; Series solution

Indexed keywords

COMPUTATION THEORY; DECOMPOSITION; DIFFUSION; NUMERICAL ANALYSIS; PARAMETER ESTIMATION; TIME VARYING SYSTEMS;

CAUCHY PROBLEMS; REACTION DIFFUSION EQUATION; REACTION PARAMETER; SERIES SOLUTION;

PROBLEM SOLVING;

EID: 33751228160     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2006.05.006     Document Type: Article

References (7)

1. Adomian G. A new approach to the heat equation-An application of the decomposition method. J. Math. Anal. Appl. 113 (1986) 202-209
2. Adomian G. Modification of the decomposition approach to the heat equation. J. Math. Anal. Appl. 124 (1987) 290-291
3. Burggraf O.R. An exact solution of the inverse problem in heat conduction theory and applications. ASME J. Heat. Transf. 86C (1964) 373-382
4. Inc M., and Cherruault Y. A new approach to travelling wave solution of a fourth-order semilinear diffusion equation. Kybernetes 32 (2003) 1492-1503
5. Dehghan M. An inverse problem of finding a source parameter in a semilinear parabolic equation. Appl. Math. Model. 25 (2001) 743-754
6. Sun Y.-P., Liu S.-B., and Keith S. Approximate solution for the nonlinear model of diffusion and reaction in porous catalysts by the decomposition method. Chem. Eng. J. 102 (2004) 1-10
7. Lesnic D. The decomposition method for Cauchy advection-diffusion problems. Comput. Math. Appl. 49 (2005) 525-537