Application of homotopy-perturbation method to the second kind of nonlinear integral equations

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 371, Issue 1-2, 2007, Pages 20-25

  Ganji, D D ^a   Afrouzi, G A ^a   Hosseinzadeh, H ^a   Talarposhti, R A ^a  

^a UNIVERSITY OF MAZANDARAN   (Iran)

Author keywords

Adomian's decomposition method (ADM); Homotopy perturbation method (HPM); Integral equation; Modification of Adomian's decomposition method; Nonlinear

Indexed keywords

INTEGRAL EQUATIONS; PERTURBATION TECHNIQUES;

ADOMIAN'S DECOMPOSITION METHOD; EXACT SOLUTION; HOMOTOPY PERTURBATION METHOD (HPM); NONLINEAR; NONLINEAR INTEGRAL EQUATIONS; SECOND KINDS; VOLTERRA AND FREDHOLM INTEGRAL EQUATION;

NONLINEAR EQUATIONS;

EID: 35349029721     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2007.06.003     Document Type: Article

References (30)

1. Adomian G. Solving Frontier Problems of Physics: The Decomposition Method (1994), Kluwer, Boston, MA
2. Adomian G. Nonlinear Stochastic Operator Equations (1986), Academic Press., San Diego, CA
3. Adomian G. Math. Comput. Modelling 13 7 (1992) 17
4. Adomian G., and Rach R. Comput. Math. Appl. 24 11 (1992) 61
5. Adomian G., and Rach R. Comput. Math. Appl. 19 12 (1990) 9
6. Adomian G., and Rach R. J. Math. Anal. Appl. 174 (1993) 118
7. Wazwaz A.M. A First Course in Integral Equations (1997), World Scientific, New Jersey
8. Wazwaz A.M. Appl. Math. Comput. 102 (1999) 77
9. A.M. Wazwaz, S.M. El-Sayed, A new modification of the Adomian decomposition method for linear and nonlinear operators, in preparation
10. Wazwaz A.M. Appl. Math. Comput. 181 (2006) 1703
11. He J.H. Comput. Methods Appl. Mech. Engrg. 178 (1999) 257
12. He J.H. Int. J. Nonlinear Mech. 35 (2000) 37
13. Ganji D.D., and Rafei M. Phys. Lett. A 356 (2006) 131
14. Ganji D.D., and Rajabi A. Int. Commun. Heat Mass Transfer 33 (2006) 391
15. He J.H. Chaos Solitons Fractals 26 (2005) 695
16. He J.H. Int. J. Nonlinear Sci. Numer. Simul. 6 (2005) 207
17. Ganji D.D., and Sadighi A. Int. J. Nonlinear Sci. Numer. Simul. 7 3 (2006) 411
18. Abbasbandy S. Chaos Solitons Fractals 31 5 (2007) 1243
19. C. Chun, Integration using He's homotopy perturbation method, Chaos Solitons Fractals. Corrected proof, Available online 5 June 2006, in press
20. Ghorbani A., and Saberi-nadjafi J. Int. J. Nonlinear Sci. Numer. Simul. 2 (2007) 229
21. Rana M.A., Siddiqui A.M., Ghori Q.K., and Qamar R. J. Nonlinear Sci. Numer. Simul. 8 2 (2007) 185
22. Tricomi F.G. Integral Equations (1982), Dover
23. Pachpatte B.G. Indian J. Pure Appl. Math. 17 (1986) 488
24. Hacia L. Z. Angew. Math. Mech. 76 (1996) 415
25. Brunner H. SIAM J. Numer. Anal. 27 4 (1990) 987
26. Guoqiang H. J. Comput. Appl. Math. 59 (1995) 49
27. He J.H. Comput. Methods Appl. Mech. Engrg. 178 3/4 (1999) 257
28. Nayfeh A.H. Problems in Perturbation (1985), John Wiley, New York
29. He J.H. Int. J. Mod. Phys. B 20 18 (2006) 2561
30. He J.H. J. Mod. Phys. B 20 10 (2006) 1141