Application of He's homotopy perturbation method for Laplace transform

Chaos, Solitons and Fractals

Volumn 30, Issue 5, 2006, Pages 1206-1212

  Abbasbandy, S ^a  

^a IMAM KHOMEINI INTERNATIONAL UNIVERSITY   (Iran)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; FRACTALS; LAPLACE TRANSFORMS; SOLITONS;

HOMOTOPY;

PERTURBATION TECHNIQUES;

EID: 33745835072     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2005.08.178     Document Type: Article

References (10)

1. Babolian E., Biazar J., and Vahidi A.R. A new computational method for Laplace transform by decomposition method. Appl Math Comput 150 (2004) 841-846
2. El-Shahed M. Application of He's homotopy perturbation method to Volterra's integro-differential equation. Int J Nonlinear Sci Numer Simul 6 2 (2005) 163-168
3. He J.H. Approximate analytical solution for seepage flow with fractional derivatives in porous media. Comput Method Appl Mech Engrg 167 1-2 (1998) 57-68
4. He J.H. Homotopy perturbation technique. Comput Methods Appl Mech Engrg 178 3/4 (1999) 257-262
5. He J.H. A coupling method of homotopy technique and perturbation technique for nonlinear problems. Int J Nonlinear Mech 35 1 (2000) 37-43
6. He J.H. Homotopy perturbation method: a new nonlinear analytical technique. Appl Math Comput 135 (2003) 73-79
7. He J.H. Comparison of homotopy perturbtaion method and homotopy analysis method. Appl Math Comput 156 (2004) 527-539
8. He J.H. Asymptotology by homotopy perturbation method. Appl Math Comput 156 (2004) 591-596
9. He J.H. Homotopy perturbation method for bifurcation of nonlinear problems. Int J Nonlinear Sci Numer Simul 6 2 (2005) 207-208
10. Nayfeh A.H. Problems in perturbation (1985), John Wiley, New York