Homotopy perturbation method for systems of partial differential equations

International Journal of Nonlinear Sciences and Numerical Simulation

Volumn 8, Issue 3, 2007, Pages 413-418

  Biazar, J ^a   Eslami, M ^a   Ghazvini, H ^a  

^a UNIVERSITY OF GUILAN   (Iran)

Author keywords

Homotopy perturbation method; Systems of partial differential equations

Indexed keywords

EID: 34548572326     PISSN: 15651339     EISSN: None     Source Type: Journal    
DOI: 10.1515/IJNSNS.2007.8.3.413     Document Type: Article

References (15)

1. J.H He, Homotopy perturbation technique, Computer Methods in Applied Mechanics and Engineering 178 (1999) 257-262.
2. J.H He, A coupling method of homotopy technique and perturbation technique for nonlinear problems, International Journal of Non-Linear Mechanics 35 (1)(2003) 7-43.
3. J.H He, Comparison of homotopy perturbation method and homotopy analysis method, Applied Mathematics and Computation 156 (2004) 527-539.
4. J.H He, Homotopy perturbation method: a new nonlinear analytical technique, Applied Mathematics and Computation 135 (2003) 73-79.
5. J.H He, Application of homotopy perturbation method to nonlinear wave equations Chaos, Solitons and Fractals 26 (2005) 695-700.
6. D.D. Ganji, M. Rafei, Solitary wave solutions for a generalized Hirota-Satsuma coupled KdV equation by homotopy perturbation method, Physics Letters A 356 (2006) 131-137.
7. Qi. Wang, Homotopy perturbation method for fractional KdV-Burgers equation, Chaos, Solitons and Fractals [in press].
8. D.D. Ganji, The application of He's homotopy perturbation method to nonlinear equations arising in heat transfer, Physics Letters A 55 (2003) 337-341.
9. A.M. Siddiqui, R. Mahmood, QK Ghori, Homotopy perturbation method for thin film flow of a fourth grade fluid down a vertical cylinder, Physics Letters A 352 (2006) 404-410.
10. P.D. Ariel, T. Hayat, S. Asghar, Homotopy Perturbation Method and Ax symmetric Flow over a Stretching Sheet, INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION 7(4) (2006) 399-406
11. D.D. Ganji, A. Sadigh, Application of He's Homotopy-perturbation Method to nonlinear Coupled Systems of Reaction-diffusion Equations, INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION 7 (4) (2006) 411-418.
12. J.H. He, New interpretation of homotopy perturbation method, INTERNATIONAL JOURNAL OF MODERN PHYSICS B 20 (2006) 2561-2568.
13. J. Biazar, H. Ghazvini, Exact solutions for non-linear Schrödinger equations by He's homotopy perturbation method Physics Letters A [in press].
14. J. Biazar, H. Ghazvini, He's homotopy perturbation method for solving system of Volterra integral equations of the second kind Chaos, Solitons and Fractals [in press].
15. Abdul-Majid Wazwaz, The existence of noise terms for system of inhomogenous differential and integral equations Applied Mathematics and Computation 146 (2003) 81-92.