Series solution of the system of integro-differential equations

Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences

Volumn 64, Issue 12, 2009, Pages 811-818

  Abbasbandy, Saeid ^a   Shivanian, Elyas ^a  

^a IMAM KHOMEINI INTERNATIONAL UNIVERSITY   (Iran)

Author keywords

Homotopy analysis method; Linear system of integro differential equations; Non linear system of integro differential equations

Indexed keywords

EID: 73049118062     PISSN: 09320784     EISSN: None     Source Type: Journal    
DOI: 10.1515/zna-2009-1206     Document Type: Article

References (32)

1. S. J. Liao, The proposed homotopy analysis techniques for the solution of nonlinear problems, PhD dissertation, Shanghai Jiao Tong University, 1992 (in English).
2. S. J. Liao, Beyond Perturbation: Introduction to the Homotopy Analysis Method, Chapman Hall CRC/Press, Boca Raton 2003.
3. T. Hayat and M. Sajid, Phys. Lett. A 361, 31622 (2007).
4. T. Hayat and M. Sajid, Int. J. Heat. Mass Transf 50, 7584 (2007).
5. S. Abbasbandy, Nonlinear Dyn. 51, 837 (2008).
6. S. Abbasbandy, Phys. Lett. A 361, 47883 (2007).
7. S. Abbasbandy, Phys. Lett. A 360, 10913 (2006).
8. S. Abbasbandy, Int. Commun. Heat Mass Transf. 34, 3807 (2007).
9. S. P. Zhu, Quantitative Finance 6, 22941 (2006).
10. S. P. Zhu, Anziam J. 47, 47794 (2006).
11. Y. Wu and K. F. Cheung, Int. J. Numer. Meth. Fluids, 57, 1649 (2008).
12. M. Yamashita, K. Yabushita, and K. Tsuboi, J. Phys. A 40, 840316 (2007).
13. Y. Bouremel, Commun. Nonlinear Sci. Numer. Simul. 12, 71424 (2007).
14. L. Tao, H. Song, and S. Chakrabarti, Clastal. Eng. 54, 82534 (2007).
15. H. Song and L. Tao, J. Coastal. Res. 50, 2925 (2007).
16. A. Molabahrami and F. Khani, Nonlinear Anal. B: Real World Appl. 10, 589 (2009).
17. A. S. Bataineh, M. S.M. Noorani, and I. Hashim, Phys. Lett. A 371, 7282 (2007).
18. Z. Wang, L. Zou, and H. Zhang, Phys. Lett. A 369, 7784 (2007).
19. M. Inc, Phys. Lett. A 365, 41215 (2007).
20. W.H. Cai, Nonlinear Dynamics of thermal-hydraulic networks, PhD thesis, University of Notre Dame, Indiana 2006.
21. S. Abbasbandy, Appl. Math. Model 32, 2706 (2008).
22. H. Wang, H. M. Fu, and H. F. Zhang, Int. J. Nonlinear Sci. Numer. Simul. 8, 171 (2007).
23. L. Xu, J.H. He, and Y. Liu, Int. J. Nonlinear Sci. Numer. Simul. 8, 199 (2007).
24. F. Z. Sun, M. Gao, S.H. Lei, Y.B. Zhao, K. Wang, Y. T. Shi, and N.H. Wang, Int. J. Nonlinear Sci. Numer. Simul. 8, 211 (2007).
25. T. L. Bo, L. Xie, and X. J. Zheng, Int. J. Nonlinear Sci. Numer. Simul. 8, 223 (2007).
26. S. M. El-Sayed, D. Kaya, and S. Zarea, Int. J. Nonlinear Sci. Numer. Simul. 5, 105 (2004).
27. J. Saberi-Nadjafi and M. Tamamgar, Comput. Math. Appl. 56, 346 (2008).
28. J. Biazar, H. Ghazvini, and M. Eslami, Chaos, Solitons, and Fractals 39, 1253 (2008).
29. J. Biazar, Appl. Math. Comput. 168, 1232 (2005).
30. S. J. Liao, Commun. Nonlinear Sci. Numer. Simul. 14, 983 (2009).
31. A. Golbabai, and M. Javidi, Appl. Math. Comput. 190, 1409 (2007).
32. E. Yusufǒ glu, Appl. Math. Comput. 192, 51 (2007).