Symbolic implementation of the algorithm for calculating Adomian polynomials

Applied Mathematics and Computation

Volumn 146, Issue 1, 2003, Pages 257-271

  Choi, H W ^a   Shin, J G ^b  

^a Hyundai Heavy Indust Elec MRI ^*  (South Korea)

^b Seoul National University   (South Korea)

Author keywords

Adomian decomposition method; Adomian polynomials; Mathematica; Nonlinear evolution equation; Nonlinear operators; Pattern matching

Indexed keywords

COMPUTER SOFTWARE; MATHEMATICAL OPERATORS; NONLINEAR EQUATIONS; PATTERN MATCHING;

ADOMIAN POLYNOMIALS;

POLYNOMIALS;

EID: 0042012869     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(02)00541-6     Document Type: Article

References (10)

1. Adomian G. Solving Frontier Problems of Physics. The Decomposition Method. 1994;Kluwer, Boston.
2. Adomian G. A review of the decomposition method in applied mathematics. J. Math. Anal. Appl. 135:1988;501-544.
3. Adomian G. A new approach to nonlinear partial differential equations. J. Math. Anal. Appl. 102:1984;420-434.
4. Rach R. A convenient computational form for the Adomian polynomials. J. Math. Anal. Appl. 102:1984;415-419.
5. Seng V., Abbaoui K., Cherruault Y. Adomian's polynomials for nonlinear operators. Math. Comput. Modell. 24:1996;59-65.
6. Abbaoui K., Cherruault Y. Convergence of Adomian's method applied to differential equations. Comput. Math. Appl. 102:1999;77-86.
7. Wazwaz A.M. The decomposition method for approximate solution of the Goursat problem. Appl. Math. Comput. 69:1995;299-311.
8. Wazwaz A.M. A First Course in Integral Equations. 1997;WSPC, New Jersey.
9. Wazwaz A.M. A study on a boundary-layer equation arising in an incompressible fluid. Appl. Math. Comput. 87:1997;199-204.
10. Wazwaz A.M. A new algorithm for calculating adomian polynomials for nonlinear operators. Appl. Math. Comput. 111:2000;53-69.