1 |
J. H. He, The variational iteration method for eighth-order initial boundary value problems, Phys. Scr. 76(6) (2007), 680-682.
DOI
ScienceOn
|
2 |
K. Djidjeli, E. H. Twizell and A. Boutayeb, Numerical methods for special nonlinear boundary value problems of order 2m, J. Comput. Appl. Math. 47 (1993), 35-45.
DOI
ScienceOn
|
3 |
A. M. Wazwaz, Approximate solutions to boundary value problems of higher-order by the modified decomposition method, Comput. Math. Appl. 40(2000), 679-691.
DOI
ScienceOn
|
4 |
A. M. Wazwaz, The modified decomposition method for solving linear and nonlinear boundary value problems of tenth-order and twelfth-order, Int. J. Nonlin. Scie. Num. Sim. 1 (2000), 17-24.
DOI
|
5 |
L. Xu, The variational iteration method for fourth-order boundary value problems, Chas. Soltn. Fract. (2007), in press.
|
6 |
M. A. Noor, S. T. Mohyud-Din and A. Waheed, Exp-function method for solving Kuramoto-Sivashinsky and Boussinesq equations, J. Appl. Math. Computg. (2008), DOI: 10.1007/s12190-008-0083-y.
|
7 |
L. Xu, He's homotopy perturbation method for a boundary layer equation in unbounded domain, Comput. Math. Appl. 54 (2007), 1067-1070.
DOI
ScienceOn
|
8 |
M. A. Noor and S. T. Mohyud-Din, A reliable algorithm for solving tenth-order boundary value problems, Appl. Math. Inf. Sci. (2008).
|
9 |
M. A. Noor, S. T. Mohyud-Din and A. Waheed, Variation of parameters method for solving fifth-order boundary value problems, Appl. Math. Inf. Sci. (2008).
|
10 |
M. A. Noor, S. T. Mohyud-Din and A. Waheed, Exp-function method for generalized travelling solutions of master partial differential equations, Acta Applnda. Mathmtce. (2008), DOI: 10.1007/s10440-008-9245-z.
|
11 |
M. A. Noor and S. T. Mohyud-Din, Solution of twelfth-order boundary value problems by variational iteration technique, J. Appl. Math. Computg (2008), DOI: 10.1007/s12190-008-0081-0.
|
12 |
M. A. Noor and S. T. Mohyud-Din, Variational iteration technique for solving higher order boundary value problems, Appl. Math. Comput. 189 (2007), 1929-1942.
DOI
ScienceOn
|
13 |
M. A. Noor and S. T. Mohyud-Din, Variational iteration method for solving fifth-order boundary value problems using He's polynomials, Math. Prob. Engg. (2008), Article ID 954794, doi: 10:1155/2008/954794.
|
14 |
M. A. Noor and S. T. Mohyud-Din, An efficient method for fourth order boundary value problems, Comput. Math. Appl. 54 (2007), 1101-1111.
DOI
ScienceOn
|
15 |
M. A. Noor, S. T. Mohyud-Din and M. Tahir, Variational iteration decomposition method for solving eighth-order boundary value problems, Diff. Eqns. Nonlin. Mech. (2007), Article ID, 19529, doi: 10.1155/2007/19529.
|
16 |
M. A. Noor and S. T. Mohyud-Din, Variational iteration technique for solving tenth-order boundary value problems, A. J. Math. Mathl. Scne. (2008).
|
17 |
J. H. He and X. H. Wu, Construction of solitary solution and compaction-like solution by variational iteration method, Chas. Soltn. Fract. 29 (1) (2006), 108-113.
DOI
ScienceOn
|
18 |
M. A. Noor and S. T. Mohyud-Din, Variational iteration method for unsteady flow of gas through a porous medium using He's polynomials and Pade approximants, Comput. Math. Appl. (2008).
|
19 |
M. A. Noor and S. T. Mohyud-Din, Variational homotopy perturbation method for solving higher dimensional initial boundary value problems, Math. Prob. Engg. (2008), in press.
|
20 |
M. A. Noor and S. T. Mohyud-Din, Solution of singular and nonsingular initial and boundary value problems by modified variational iteration method, Math. Prob. Engg. (2008), in press.
|
21 |
S. Momani and Z. Odibat, Application of He's variational iteration method to Helmholtz equations, Chas. Soltn. Frctls. 27 (5) (2006), 1119-1123.
|
22 |
M. A. Noor and S. T. Mohyud-Din, Variational iteration method for solving higher-order nonlinear boundary value problems using He's polynomials, Int. J. Nonlin. Scne. Num. Simul. 9 (2) (2008).
|
23 |
S. T. Mohyud-Din and M. A. Noor, Homotopy perturbation method for solving fourth-order boundary value problems, Math. Prob. Engg. (2007), 1-15, Article ID 98602, doi:10.1155/2007/98602.
|
24 |
M. A. Noor and S. T. Mohyud-Din, An efficient algorithm for solving fifth order boundary value problems, Math. Comput. Modl. 45 (2007), 954-964.
DOI
ScienceOn
|
25 |
M. A. Noor and S. T. Mohyud-Din, Homotopy perturbation method for solving sixth-order boundary value problems, Comput. Math. Appl. 55 (12) (2008), 2953-2972.
DOI
ScienceOn
|
26 |
J. H. He, Variational iteration method, A kind of non-linear analytical technique, some examples, Internat. J. Nonlinear Mech. 34 (4) (1999), 699-708.
DOI
ScienceOn
|
27 |
J. H. He, Some asymptotic methods for strongly nonlinear equation, Int. J. Mod. Phys. 20 (20)10 (2006), 1144-1199.
|
28 |
J. H. He, Variational iteration method- Some recent results and new interpretations, J. Comput. Appl. Math. 207 (2007), 3-17.
DOI
ScienceOn
|
29 |
J. H. He and X. Wu, Variational iteration method: New developments and applications, Comput. Math. Appl. 54(2007), 881-894.
DOI
ScienceOn
|
30 |
J. H. He, Variational iteration method for autonomous ordinary differential systems, Appl. Math. Comput. 114 (2-3) (2000), 115-123.
DOI
ScienceOn
|
31 |
A. Ghorbani and J. S. Nadjfi, He's homotopy perturbation method for calculating Adomian's polynomials, Int. J. Nonlin. Scne. Num. Simul. 8 (2) (2007), 229-332.
DOI
ScienceOn
|
32 |
A. Ghorbani, Beyond Adomian's polynomials: He polynomials, Chas. Soltn. Fract. (2007), in press.
|
33 |
J. H. He, The homotopy perturbation method for nonlinear oscillators with discontinuities, Appl. Math. Comput. 151 (2004), 287-292.
DOI
ScienceOn
|
34 |
J. H. He, Homotopy perturbation method for solving boundary value problems, Phys. Lett. A 350(2006), 87-88.
DOI
ScienceOn
|
35 |
J. H. He, Comparison of homotopy perturbation method and homotopy analysis method, Appl. Math. Comput. 156 (2004), 527-539.
DOI
ScienceOn
|
36 |
J. H. He, Homotopy perturbation method for bifurcation of nonlinear problems, Int. J. Nonlin. Scne. Numer. Simul. 6 (2) (2005), 207-208.
DOI
ScienceOn
|
37 |
J. H. He, A coupling method of homotopy technique and perturbation technique for nonlinear problems, Int. J. Nonlinear Mech. 35 (1) (2000), 115-123.
|
38 |
M. A. Abdou and A. A. Soliman, New applications of variational iteration method, Phys. D 211 (1-2) (2005), 1-8.
DOI
ScienceOn
|
39 |
S. Abbasbandy, Numerical solutions of nonlinear Klein-Gordon equation by variational iteration method, Internat. J. Numer. Mech. Engg. 70 (2007), 876-881.
DOI
ScienceOn
|
40 |
S. Abbasbandy, A new application of He's variational iteration method for quadratic Riccati differential equation by using Adomian's polynomials, J. Comput. Appl. Math. 207 (2007), 59-63.
DOI
ScienceOn
|
41 |
R. P. Agarwal, Boundary value problems for higher order differential equations, world scientific, Singapore (1986).
|
42 |
S. Chandrasekhar, Hydrodynamic and hydro magnetic stability, Dover, New York 1981.
|