Application of Laplace decomposition method on semi-infinite domain

Numerical Algorithms

Volumn 56, Issue 2, 2011, Pages 211-218

  Khan, Majid ^a   Hussain, Mazhar ^a  

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

Author keywords

Adomian decomposition method; Blasius equation; Laplace decomposition method; Series solutions

Indexed keywords

EID: 78651520457     PISSN: 10171398     EISSN: 15729265     Source Type: Journal    
DOI: 10.1007/s11075-010-9382-0     Document Type: Article

References (21)

1. Adomian, G.: Frontier Problem of Physics: the Decomposition Method. Kluwer Academic, Boston (1994).
2. Adomian, G., Serrano, S. E.: Stochastic contaminant transport equation in Porous media. Appl. Math. Lett. 11, 53-55 (1998).
3. Gejji, V. D., Jafari, H.: Adomian decomposition: a tool for solving a system of fractional differential equations. J. Math. Anal. Appl. 301, 508-518 (2005).
4. Jafari, H., Gejji, V. D.: Revised Adomian decomposition method for solving a system of nonlinear equations. Appl. Math. Comput. 175, 1-7 (2006).
5. Chun, C., Jafari, H., Kim, Y.: Numerical method for the wave and nonlinear diffusion equations with the homotopy perturbation method. Comput. Math. Appl. 57, 1226-1231 (2009).
6. Jafari, H., Gejji, V. D.: Solving linear and nonlinear fractional diffusion and wave equations by Adomian decomposition. Appl. Math. Comput. 180, 488-497 (2006).
7. Jafari, H., Gejji, V. D.: Revised Adomian decomposition method for solving systems of ordinary and fractional differential equations. Appl. Math. Comput. 181, 598-608 (2006).
8. Wang, L.: A new algorithm for solving classical Blasius equation. Appl. Math. Comput. 157, 1-9 (2004).
9. Wazwaz, A. M.: A First Course in Integral Equations. World Scientific, Singapore (1997).
10. Wazwaz, A. M.: The modified decomposition method and Padé approximants for a boundary layer equation in unbounded Adomian. Appl. Math. Comput. 177, 737 (2006).
11. Wazwaz, A. M.: A study on linear and nonlinear Schrodinger equations by the variational iteration method. Chaos Solitons Fractals, 37, 1136-1142 (2008).
12. Wazwaz, A. M.: A new technique for calculating adomian polynomials for nonlinear polynomials. Appl. Math. Comput. 111, 33-51 (2002).
13. Khuri, S. A.: A Laplace decomposition algorithm applied to class of nonlinear differential equations. J. Math. Appl. 4, 141-155 (2001).
14. Khuri, S. A.: A new approach to Bratu's problem. Appl. Math. Comput. 147, 131-136 (2004).
15. Yusufoglu (Agadjanov), E.: Numerical solution of Duffing equation by the Laplace decomposition algorithm. Appl. Math. Comput. 177, 572-580 (2006).
16. Adomian, G.: The decomposition method. Kluwer Acad, Boston (1994).
17. Wazwaz, A. M.: Partial differential equations methods and applications. Balkema, Netherland (2002).
18. Wazwaz, A. M.: A study of boundary-layer equation arising in an incompressible fluid. Appl. Math. Comput. 87, 199-204 (1997).
19. Wazwaz, A. M.: The variational iterative method for solving two forms of Blasius equation on a half-infinite domain. Appl. Math. Comput. 188 485-491 (2007).
20. Boyd, J. P.: Padé approximant algorithm for solving nonlinear ordinary differential equation boundary value problems on an unbounded domain. Comput. Phys. 11, 299-303 (1997).
21. Baker, G. A.: Essentials of Padé approximants. Academic, London (1975).