Analytical investigation of a fourth-order boundary value problem in deformation of beams and plate deflection theory

Journal of Applied Sciences

Volumn 8, Issue 11, 2008, Pages 2148-2152

  Choobbasti, A J ^a   Barari, A ^a   Farrokhzad, F ^a   Ganji, D D ^a  

^a UNIVERSITY OF MAZANDARAN   (Iran)

Author keywords

Boundary value problems and exact solution; Deformation of elastic beams; Homotopy perturbation method; Plate deflection theory; Variational iteration method

Indexed keywords

ELASTIC BEAM; EXACT SOLUTION; HOMOTOPY PERTURBATION METHOD (HPM); PLATE DEFLECTIONS; VARIATIONAL ITERATION METHOD;

BOUNDARY VALUE PROBLEMS; DEFORMATION; MATHEMATICAL MODELS;

ITERATIVE METHODS;

EID: 46149084919     PISSN: 18125654     EISSN: 18125662     Source Type: Journal    
DOI: 10.3923/jas.2008.2148.2152     Document Type: Article

References (16)

1. Barari A., A.J. Choobbasti and D.D. Ganji, 2008. Application of homotopy perturbation method to Zakharov-Kuznetsov equation. J. Phys. (In Press).
2. Chawla, M.M. and C.P. Katti, 1979. Finite difference methods for two-point boundary-value problem's involving a higher order differential equations. BIT., 19(1): 27-33.
3. Choobbasti, A.J., A. Barari and D.D. Ganji, 2008. Application of homotopy perturbation method for solving second order nonlinear wave equation J. Phys. (In Press).
4. Ganji, D.D. and A. Sadighi, 2006. Application of He's homotopy-perturbation method to nonlinear coupled systems of reaction-diffusion equations. Int. J. Nonl. Sci. Num. Simu., 7(4): 411-418.
5. He, J.H., 1999a. Homotopy perturbation technique. Comput. Meth. Applied Mech. Eng., 178 (3-4): 257-262.
6. He, J.H., 1999b. Variational iteration method-a kind of non-linear analytical technique: Some Examples. Int. J. Nonl. Mech., 34 (4): 699-708.
7. He, J.H., 2000. A coupling method of a homotopy technique and a perturbation technique for nonlinear problems. Int. J. Nonl. Mech., 35 (1): 37-43.
8. He, J.H., 2003. Homotopy perturbation method: A new nonlinear analytical technique. Applied Math. Comput., 135 (1): 73-79.
9. He, J.H. and X.H. Wu, 2006. Construction of solitary solution and compacton-like solution by variational iteration method. Chaos. Soliton. Fract., 29 (1): 108-113.
10. Ma, T.F. and J. Silva, 2004. Iterative Solution for a beam equation with nonlinear boundary conditions of third order. Applied Math. Comput, 159 (1): 11-18.
11. Momani, S.M., 1991. Some Problems in Non-Newtonian fluid mechanics. Ph.D Thesis, Walse University, United Kingdom.
12. Momani, S.M. and S. Abuasad, 2006. Application of He's variational iteration method to Helmholtz Equation. Chaos. Soliton. Fract., 27 (5): 1119-1123.
13. Odibat, Z. and S. Momani, 2006. Application of variational iteration method to nonlinear differential equations of fractional order. Int. J. Nonl. Sci. Num. Simu., 7 (1): 27-34.
14. Rafei, M. and D.D. Ganji, 2006. Explicit solutions of Helmholtz equation and fifth-order KdV equation using homotopy-perturbation method. Int. J. Nonl. Sci. Num. Simu., 7 (3): 321-328.
15. Tari, H., D.D. Ganji and M. Rostamian, 2007. Approximate solutions of K (2.2), KdV and modified KdV equations by variational iteration method, homotopy perturbation method and homotopy analysis method. Int J. Nonl. Sci. Num. Simu., 8 (2): 203-210.
16. Zhang, L. and N.J.H. He, 2006. Homotopy perturbation method for the solution of the electrostatic potential differential equation. Math. Prob. Eng. Art. No. 83878.