Modified Laplace decomposition method

Applied Mathematical Sciences

Volumn 4, Issue 33-35, 2010, Pages 1769-1783

  Hussain, M ^a   Khan, Majid ^a  

^a NATIONAL UNIVERSITY OF COMPUTER AND EMERGING SCIENCES   (Pakistan)

Author keywords

Exact solution; Modified Laplace decomposition method; Noise terms phenomena; Nonlinear partial differential equations

Indexed keywords

EID: 77953903021     PISSN: None     EISSN: 1312885X     Source Type: Journal    
DOI: None     Document Type: Article

References (18)

1. G Adomian, Frontier problem of physics: the decomposition method. Boston: Kluwer Academic Publishers; 1994.
2. G Adomian, Serrano SE, J Appl Math Lett 2 (1995) 161 - 164
3. Ebrahim Alizadeh, Mousa Farhadi, Kurosh Sedighi, H.R. Ebrahimi-Kebria, Akbar Ghafourian, Solution of the Falkner-Skan equation for wedge by Adomian Decomposition Method, Comm. Non-linear Sci. Numer. Sim. 14 (2009)724 - 733.
4. Ebrahim Alizadeh, Kurosh Sedighi, Mousa Farhadi, H.R. Ebrahimi-Kebria, Analytical approximate solution of the cooling problem by Adomian decomposition method, Comm. Non-linear Sci. Numer. Sim. 14 (2009) 462 - 472.
5. D.N. Khan Marwat, S. Asghar, Solution of the heat equation with variable properties by two-step Adomian decomposition method, Math. and Comput Modelling., 48 (2008) 83 - 90.
6. Q. Esmaili, A. Ramiar, E. Alizadeh, D.D. Ganji, An approximation of the analytical solution of the Jeffery-Hamel flow by decomposition method, Phy. Lett. A. 372 (2008) 3434 - 3439.
7. M.S.H. Chowdhury, I. Hashim, O. Abdulaziz, Comparison of homotopy analysis method and homotopy-perturbation method for purely nonlinear fin-type problems, Comm. Non-linear Sci. Numer. Sim. 14 (2009) 371 - 378.
8. AM Wazwaz, The modified decomposition method and Pade approximants for a boundary layer equation in unbounded domain, 177 (2006) 737 - 744
9. N. Bellomo, R.A. Monaco, Comparison between Adomian decomposition method and pertubation techniques for nonlinear random differential equations, J Math. Anal. Appl. 110 (1985) 495 - 502.
10. R. Race, On the Adomian decomposition method and comparison with Picard's method, J Math. Anal. Appl.128 (1987) 480 - 483.
11. AM Wazwaz, A new technique for calculating adomian polynomials for nonlinear polynomials. Appl. Math. Comput. 111( 2002) 33 - 51.
12. G. Adomian, R. Race, Noise terms in decomposition solution series, Comput. Math. Appl. 24 (1992) 61 - 64.
13. AM Wazwaz, Necessary conditions for the appearance of noise terms in decomposition solution series, Appl. Math. Comput. 81 (1987) 1718 - 1740.
14. S.A Khuri, A Laplace decomposition algorithm applied to class of nonlinear differential equations, J Math. Appl 4 (2001) 141 - 155.
15. S. A Khuri, A new approach to Bratu's problem, Appl. Math. Comput. 147 (2004) 131 - 136.
16. Elcin Yusufoglu (Agadjanov), Numerical solution of Duffing equation by the Laplace decomposition algorithm, Appl. Math. Comput.177 (2006) 572 - 580.
17. Nasser S. Elgazery, Numerical solution for the Falkner-Skan equation, Chaos, Solitons and Fractals 35 (2008) 738 - 746.
18. AM Wazwaz, Partial differential equations methods and applications, Netherland Balkema Publisher. 2002.