Adomian decomposition method for solving the diffusion-convection-reaction equations

Applied Mathematics and Computation

Volumn 177, Issue 2, 2006, Pages 729-736

  El Wakil, S A ^a   Abdou, M A ^a   Elhanbaly, A ^a  

^a MANSOURA UNIVERSITY   (Egypt)

Author keywords

Adomian decomposition; Black Scholes model; Diffusion convection reaction

Indexed keywords

APPROXIMATION THEORY; ITERATIVE METHODS; MATHEMATICAL MODELS; NUMERICAL METHODS; PROBLEM SOLVING; THEOREM PROVING;

ADOMIAN DECOMPOSITION METHOD; BLACK-SCHOLES MODEL; DIFFUSION-CONVECTION-REACTION EQUATIONS (DCRE); FOKKER-PLANCK (FP) EQUATION;

DIFFERENTIAL EQUATIONS;

EID: 33744987961     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2005.09.105     Document Type: Article

References (25)

1. Gardiner C.W. Handbook of Stochastic Methods. second ed. (1985), Springer-Verlag, Berlin
2. Risken H. The Fokker-Planck Equation. second ed. (1989), Springer-Verlag, Berlin
3. van Kampen N.G. J. Stat. Phys. 70 (1993) 15
4. El-Wakil S.A., Elhanbaly A., and Abdou M.A. Phys. Scr. 60 (1999) 207
5. Adomian G. The Decomposition Method (1994), Kluwer Academic Publishers, Boston
6. Adomian G. Math. Comput. Model. 22 (1995) 103
7. Shawagfeh N.T., and Adomian G. Appl. Math. Comput. 70 (1996) 251
8. Wazwaz A.M. Appl. Math. Comput. 123 (2001) 133
9. Wazwaz A.M. Math. Comput. Simul. 59 (2002) 519
10. Wazwaz A.M. Chaos, Soliton Fract. 13 (2002) 321
11. Wazwaz A.M. Appl. Math. Comput. 149 (2004) 15
12. Momoni S. Chaos, Soliton Fract. 28 (2006) 930
13. Lesnic D. Chaos, Soliton Fract. 28 (2006) 776
14. Abdou M.A., and Soliman A.A. Physica D 211 (2005) 1
15. Abdou M.A. J. Quant. Spec. Rad. Transfer 95 (2005) 407
16. El-Wakil S.A., Abulwafa E.M., Abdou M.A., and Elhanbaly A. Physica A 315 (2002) 480
17. Wie G.W. J. Phys. A: Math. Gen. 33 (2000) 4935
18. Black F., and Sholes M. J Polit Econ 81 (1973) 637
19. Kwok Y.K. Mathematical Models of Financial Derivatives (1998), Springer, Berlin
20. He J.-H. Int. J. Non-Linear Mech. 34 (1999) 699
21. He J.-H. Appl. Math. Comput. 114 (2000) 115
22. Melnikov I.V. Opt. Commun. 220 (2003) 143
23. Spichak S., and Stongnij V. J. Phys. A: Math. Gen. 32 (1999) 8341
24. Lieberman M.A., and Lichtenberg A.J. Plasma Phys. 1S (1973) 125
25. El-Wakil S.A., Zahran M.A., and Abdou M.A. JQSRT 317 (2003) 327