Variational iteration method for fifth-order boundary value problems using he's polynomials

Mathematical Problems in Engineering

Volumn 2008, Issue , 2008, Pages

  Noor, Muhammad Aslam ^a   Mohyud Din, Syed Tauseef ^a  

^a Department of Electrical Computer Engineering   (Pakistan)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; ITERATIVE METHODS; LINEARIZATION; PERTURBATION TECHNIQUES; POLYNOMIALS;

ADOMIAN'S POLYNOMIALS; VARIATIONAL ITERATION;

BOUNDARY VALUE PROBLEMS;

EID: 43949104375     PISSN: 1024123X     EISSN: 15635147     Source Type: Journal    
DOI: 10.1155/2008/954794     Document Type: Article

References (36)

1. Çaglar H. N., Çaglar S. H., Twizell E. H., The numerical solution of fifth-order boundary value problems with sixth-degree B-spline functions Applied Mathematics Letters 1999 12 5 25 30
2. Davies A. R., Karageorghis A., Phillips T. N., Spectral Galerkin methods for the primary two-point boundary value problem in modelling viscoelastic flows International Journal for Numerical Methods in Engineering 1988 26 3 647 662
3. Fyfe D. J., Linear dependence relations connecting equal interval N th degree splines and their derivatives Journal of the Institute of Mathematics and Its Applications 1971 7 3 398 406
4. Noor M. A.
5. Noor M. A.
6. Noor M. A., Mohyud-Din S. T., Modified decomposition method for solving linear and nonlinear fifth-order boundary value problems. International Journal of Applied Mathematics and Computer Science. In press
7. Wazwaz A.-M.
8. He J.-H.
9. He J.-H.
10. He J.-H.
11. He J.-H.
12. He J.-H.
13. He J.-H.
14. He J.-H.
15. He J.-H.
16. He J. H., Wu X. H., Construction of solitary solution and compacton-like solution by variational iteration method Chaos, Solitons Fractals 2006 29 1 108 113
17. He J.-H.
18. He J.-H.
19. Inokuti M., Sekine H., Mura T., Nemat-Naseer S., General use of the Lagrange multiplier in nonlinear mathematical physics Variational Method in the Mechanics of Solids 1978 New York, NY, USA Pergamon Press 156 162
20. Abbasbandy S.
21. Abbasbandy S.
22. Abbasbandy S., Numerical method for nonlinear wave and diffusion equations by the variational iteration method International Journal for Numerical Methods in Engineering 2008 73 12 1836 1843
23. Ghorbani A.
24. Ghorbani A., Beyond Adomian's polynomials: He polynomials. Chaos, Solitons Fractals. In press
25. Momani S.
26. Mohyud-Din S. T., A reliable algorithm for Blasius equation Proceedings of the International Conference of Mathematical Sciences (ICMS '07) November 2007 Bangi-Putrajaya, Malaysia 616 626
27. Mohyud-Din S. T.
28. Noor M. A.
29. Noor M. A., Mohyud-Din S. T., Homotopy method for solving eighth order boundary value problems Journal of Mathematical Analysis and Approximation Theory 2006 1 2 161 169
30. Noor M. A., Mohyud-Din S. T., Approximate solutions of Flieral Petviashivili equation and its variants International Journal of Mathematics and Computer Science 2007 2 4 345 360
31. Noor M. A., Mohyud-Din S. T., A reliable approach for solving linear and nonlinear sixth-order boundary value problems. International Journal of Computational and Applied Mathematics. In press
32. Noor M. A.
33. Noor M. A., Mohyud-Din S. T., Variational iteration technique for solving tenth-order boundary value problems Applied Mathematics and Computation 2007 189 2 1929 1942
34. Noor M. A., Mohyud-Din S. T., Variational iteration decomposition method for solving eighth-order boundary value problems. Differential Equations and Nonlinear Mechanics. In press
35. Ramos J. I., On the variational iteration method and other iterative techniques for nonlinear differential equations. Applied Mathematics and Computation. In press
36. Xu L., The variational iteration method for fourth-order boundary value problems. Chaos, Solitons Fractals. In press