The variational iteration method for eighth-order initial-boundary value problems

Physica Scripta

Volumn 76, Issue 6, 2007, Pages 680-682

  He, Ji Huan ^a  

^a DONGHUA UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY VALUE PROBLEMS; VARIATIONAL TECHNIQUES;

EIGHTH-ORDER INITIAL-BOUNDARY VALUE PROBLEMS; VARIATIONAL ITERATION;

ITERATIVE METHODS;

EID: 36148932234     PISSN: 00318949     EISSN: 14024896     Source Type: Journal    
DOI: 10.1088/0031-8949/76/6/016     Document Type: Article

References (22)

1. Mestrovic M 2007 The modified decomposition method for eighth-order boundary value problems Appl. Math. Comput. 188 1437-44
2. Siddiqi S S and Akram G 2007 Sextic spline solutions of fifth-order boundary value problems Appl. Math. Lett. 20 591-7
3. Caglar H N, Caglar S H and Twizell E H 1999 The numerical solution of fifth-order boundary-value problems with sixth-degree B-spline functions Appl. Math. Lett. 12 25-30
4. He J H 2006 Homotopy perturbation method for solving boundary value problems Phys. Lett. A 350 87-8
5. Ariel P D, Hayat T and Asghar S 2006 Homotopy perturbation method and axisymmetric flow over a stretching sheet Int. J. Nonlinear Sci. 7 399-406
6. Siddiqui A M, Mahmood R and Ghori Q K 2006 Thin film flow of a third grade fluid on a moving belt by He's homotopy perturbation method, Int. J. Nonlinear Sci. 7 7-14
7. Zhang L N and He J H 2006 Homotopy perturbation method for the solution of the electrostatic potential differential equation Math. Problems Eng. art. number 83878
8. El-gamel M A 2007 A comparison between the Sinc-Galerkin and the modified decomposition methods for solving two-point boundary-value problems J. Comput. Phys. 223 369-83
9. Svärd M and Nordström J 2006 On the order of accuracy for difference approximations of initial-boundary value problems J. Comput. Phys. 218 333-52
10. He J H 2006 Some asymptotic methods for strongly nonlinear equations Int. J. Mod. Phys. B 20 1141-99
11. He J H 1999 Variational iteration method-a kind of non-linear analytical technique: some examples Int. J. Nonlinear Mech. 34 699-708
12. He J H and Wu X H 2006 Construction of solitary solution and compacton-like solution by variational iteration method Chaos Solitons Fractals 29 108-13
13. Sweilam N H and Khader M M 2007 Variational iteration method for one dimensional nonlinear thermoelasticity Chaos Soliton Fractals 32 145-9
14. Soliman A A 2006 A numerical simulation and explicit solutions of KdV-Burgers' and Lax's seventh-order KdV equations Chaos Solitons Fractals 29 294-302
15. Momani S and Abuasad S 2006 Application of He's variational iteration method to Helmholtz equation Chaos Solitions Fractals 27 1119-23
16. Bildik N and Konuralp A 2006 The use of variational iteration method, differential transform method and adomian decomposition method for solving different types of nonlinear partial differential equations Int. J. Nonlinear Sci. 7 65-70
17. Biazar J and Ghazvini H 2007 He's variational iteration method for solving hyperbolic differential equations Int. J. Nonlinear 8 311-4
18. Sadighi A and Ganji D D 2007 Solution of the generalized nonlinear Boussinesq equation using homotopy perturbation and variational iteration methods Int. J. Nonlinear Sci. 8 435-43
19. Momani S and Odibat Z 2007 Numerical approach to differential equations of fractional order J. Comput. Appl. Math. 207 96-110
20. Momani S and Odibat Z 2007 Numerical comparison of methods for solving linear differential equations of fractional order Chaos Solitons Fractals 31 1248-55
21. Momani S and Odibat Z 2006 Analytical approach to linear fractional partial differential equations arising in fluid mechanics Phys. Lett. A 355 271-9
22. Odibat Z M and Momani S 2006 Application of variational iteration method to Nonlinear differential equations of fractional order Int. J. Nonlinear Sci. 7 27-34