The generalized approximation method and nonlinear heat transfer equations

Electronic Journal of Qualitative Theory of Differential Equations

Volumn , Issue , 2009, Pages 1-15

  Khan, Rahmat Ali ^a  

^a NATIONAL UNIVERSITY OF SCIENCES AND TECHNOLOGY   (Pakistan)

Author keywords

Generalized approximation; Heat transfer equation; Upper and lower solutions

Indexed keywords

EID: 62649147841     PISSN: None     EISSN: 14173875     Source Type: Journal    
DOI: 10.14232/ejqtde.2009.1.2     Document Type: Article

References (10)

1. M. Van Dyke, Perturbation Methods in Fluid Mechanics, Annotated Edition, Parabolic Press, Standford, CA, (1975).
2. A. H. Nayfeh, Perturbation Methods, Wiley, New York, (1973).
3. J. H. He, Homotopy perturbation technique, J. Comput. Methods Appl. Mech. Eng., 178 (1999)(257), 3-4.
4. J. H. He, A coupling method of a homotopy technique and a perturbation technique for non-linear problems, Int. J. Nonlinear Mech., 35 (2000)(37).
5. J. H. He, Homotopy perturbation technique, J. Comput. Methods Appl. Mech. Eng., 17 (1999)(8), 257-262.
6. D. D. Gunji, The application of He's homotopy perturbation method to non-linear equations arising in heat transfer, Physics Letter A, 355 (2006), 337-341.
7. D. D. Gunji and A. Rajabi, Assessment of homotopyperturbation and perturbation methods in heat radiation equations, Int. Commun. in Heat and Mass Transfer, 33 (2006), 391-400.
8. A. Rajabi, D. D. Gunji and H. Taherian, Application of homotopy perturbation method in nonlinear heat conduction and convection equations, Physics Letter A, 360 (2007), 570-573.
9. R. A. Khan and M. Rafique, Existence and multiplicity results for some three-point boundary value problems, Nonlinear Anal., 66 (2007), 1686-1697.
10. R. A. Khan, Generalized approximations and rapid convergence of solutions of m-point boundary value problems, Appl. Math. Comput., 188 (2007), 1878-1890.