A computational algebraic investigation of the decomposition method for time-dependent problems

Applied Mathematics and Computation

Volumn 119, Issue 2-3, 2001, Pages 197-206

  Lesnic, D ^a  

^a UNIVERSITY OF LEEDS   (United Kingdom)

Author keywords

Decomposition method; Heat equation; Wave equation

Indexed keywords

ALGEBRA; COMPUTATIONAL COMPLEXITY; CONVERGENCE OF NUMERICAL METHODS; PROBLEM SOLVING;

DECOMPOSITION METHOD; HEAT EQUATION;

WAVE EQUATIONS;

EID: 0035311871     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(99)00257-X     Document Type: Article

References (10)

1. Adomian G. Stochastic Systems. 1983;Academic Press, London.
2. Bellman R.E., Adomian G. Partial Differential Equations - New Methods for their Treatment and Solution. 1984;Reidel, Dordrecht.
3. Adomian G. Nonlinear Stochastic Operator Equations. 1986;Academic Press, London.
4. Adomian G. Solving Frontier Problems of Physics: The Decomposition Method. 1994;Kluwer Academic Publishers, Dortdrecht.
5. Adomian G. Modification of the decomposition approach to the heat equation. J. Math. Anal. Appl. 124:1987;290-291.
6. Adomian G. A new approach to the heat equation - an application of the decomposition method. J. Math. Anal. Appl. 113:1986;202-209.
7. Adomian G. Convergent series solution of nonlinear equations. J. Comput. Appl. Math. 2:1984;225-230.
8. Adomian G. Solving frontier problems modelled by nonlinear partial differential equations. Comput. Math. Appl. 22:1991;91-94.
9. Datta B.K. A new approach to the wave equation - an application of the decomposition method. J. Math. Anal. Appl. 142:1989;6-12.
10. Adomian G., Rach R. The noisy convergence phenomena in decomposition method solutions. J. Comput. Appl. Math. 15:1986;379-381.