[1]
|
U. Brechtken-Manderschied, “Introduction to the Calculus of Variations,” Chapman Hall, London, 1991.
|
[2]
|
H. Sagan, “Introduction to the Calculus of Variations,” Dover Publications, New York, 1992.
|
[3]
|
J.-H. He, “A Coupling Method for a Homotopy Technique and a Perturbation Technique for Nonlinear Problems,” International Journal of Non-Linear Mechanics, Vol. 35, 2000, pp. 37-43.
|
[4]
|
U. Ascher, M. Robert, M. M. Mattheij and R. D. Russell, “Numerical Solution of Boundary Value Problems for Ordinary Differential Equations,” SIAM, Philadelphia, 1995.
|
[5]
|
G. Engstrom and U. Brechtken-Manderschied, “Introduction to the Calculus of Variations,” Chapman and Hall/CRC, London, 1991.
|
[6]
|
D. D. Ganji, H. Tari and M. Bakhshi, “Variational Iteration Method and Homotopy Perturbation Method for Nonlinear Evalution Equations,” Computers & Mathematics with Applications, Vol. 54, No. 7-8, 2007, pp. 1018-1024.
|
[7]
|
J. H. He, “Perturbation Method: A New Nonlinear Analytical Technique,” Applied Mathematics and Computation, Vol. 135, No. 1, 2003, pp. 73-79.
doi:10.1016/S0096-3003(01)00312-5
|
[8]
|
M. Inokuti, H. Sekine and T. Mura, “General Use of the Lagrange Multiplier in Non-Linear Mathematical Physics,” In: S. Nemat-Nassed, Ed., Variational Methods in the Mechanics of Solids, Pergamon Press, New York, 1978, pp. 156-162.
|
[9]
|
S. J. Liao, “An Approximate Solution Technique Not Depending on Small Parameters: A Special Example,” International Journal of Non-Linear Mechanics, Vol. 30, No. 3, 1995, pp. 371-380.
doi:10.1016/0020-7462(94)00054-E
|
[10]
|
S. J. Liao, “Boundary Element Method for General Nonlinear Differential Operators,” Engineering Analysis with Boundary Element, Vol. 20, No. 2, 1997, pp. 91-99.
doi:10.1016/S0955-7997(97)00043-X
|
[11]
|
J. H. He, “Asymptotology by Homotopy Perturbation Method,” Applied Mathematics and Computation, Vol. 156, No. 3, 2004, pp. 591-596.
doi:10.1016/j.amc.2003.08.011
|
[12]
|
J. H. He, “Homotopy Perturbation Technique,” Applied Mechanics and Engineering, Vol. 178, 1997, pp. 257262.
|
[13]
|
R. Memarbashi, “Variational Problems with Moving Boundaries Using Decomposition Method,” Mathematical Problems in Engineering, Vol. 2007, 2007, Article ID 10120. doi:10.1155/2007/10120
|
[14]
|
J. H. He, “Homotopy Perturbation Method for Solving Boundary Value Problems,” Physics Letters A, Vol. 350, No. 1-2, 2006, pp. 87-88.
|
[15]
|
M. L. krasnov, G. I. Makarenko and A. L. Kiselev, “Problems and Exercises in the Calculus of Variations,” George Yankovsky, Moscow, 1975.
|
[16]
|
Y.-G. Wang and H.-F. Song and D. Li, “Solving TwoPoint Boundary Value Problems Using Combined Homotopy Perturbation Method and Green’s Function Method,” Applied Mathematics and Computation, Vol. 212, No. 2, 2009, pp. 366-376.
|