-
3
-
-
0002734020
-
A review on some new recently developed nonlinear analytical techniques
-
He J.H. A review on some new recently developed nonlinear analytical techniques. Int J Non-linear Sci Numer Simulat 1 (2000) 51-70
-
(2000)
Int J Non-linear Sci Numer Simulat
, vol.1
, pp. 51-70
-
-
He, J.H.1
-
6
-
-
0033742886
-
A new perturbation technique which is also valid for large parameters
-
He J.H. A new perturbation technique which is also valid for large parameters. J Sound Vib 229 (2000) 1257-1263
-
(2000)
J Sound Vib
, vol.229
, pp. 1257-1263
-
-
He, J.H.1
-
7
-
-
0035603591
-
Modified Lindstedt-Poincare methods for some non-linear oscillations. Part III: double series expansion
-
He J.H. Modified Lindstedt-Poincare methods for some non-linear oscillations. Part III: double series expansion. Int J Non-linear Sci Numer Simulat 2 (2001) 317-320
-
(2001)
Int J Non-linear Sci Numer Simulat
, vol.2
, pp. 317-320
-
-
He, J.H.1
-
8
-
-
0036489498
-
Modified Lindstedt-Poincare methods for some non-linear oscillations. Part I: expansion of a constant
-
He J.H. Modified Lindstedt-Poincare methods for some non-linear oscillations. Part I: expansion of a constant. Int J Non-linear Mech 37 (2002) 309-314
-
(2002)
Int J Non-linear Mech
, vol.37
, pp. 309-314
-
-
He, J.H.1
-
9
-
-
0036489502
-
Modified Lindstedt-Poincare methods for some non-linear oscillations. Part II: a new transformation
-
He J.H. Modified Lindstedt-Poincare methods for some non-linear oscillations. Part II: a new transformation. Int J Non-linear Mech 37 (2002) 315-320
-
(2002)
Int J Non-linear Mech
, vol.37
, pp. 315-320
-
-
He, J.H.1
-
10
-
-
15944389556
-
Improved Lindstedt-Poincaré method for the solution of nonlinear problems
-
Amore P., and Aranda A. Improved Lindstedt-Poincaré method for the solution of nonlinear problems. J Sound Vib 283 (2005) 1115-1136
-
(2005)
J Sound Vib
, vol.283
, pp. 1115-1136
-
-
Amore, P.1
Aranda, A.2
-
11
-
-
19944416559
-
Exact and approximate expressions for the period of anharmonic oscillators
-
Amore P., and Fernández F.M. Exact and approximate expressions for the period of anharmonic oscillators. Eur J Phys 26 (2005) 589-601
-
(2005)
Eur J Phys
, vol.26
, pp. 589-601
-
-
Amore, P.1
Fernández, F.M.2
-
12
-
-
17844387391
-
Homotopy perturbation method for bifurcation on nonlinear problems
-
He J.H. Homotopy perturbation method for bifurcation on nonlinear problems. Int J Non-linear Sci Numer Simulat 6 (2005) 207-208
-
(2005)
Int J Non-linear Sci Numer Simulat
, vol.6
, pp. 207-208
-
-
He, J.H.1
-
13
-
-
27744453171
-
Alternative perturbation approaches in classical mechanics
-
Amore P., Raya A., and Fernández F.M. Alternative perturbation approaches in classical mechanics. Eur J Phys 26 (2005) 1057-1063
-
(2005)
Eur J Phys
, vol.26
, pp. 1057-1063
-
-
Amore, P.1
Raya, A.2
Fernández, F.M.3
-
14
-
-
19444376778
-
Comparison of alternative improved perturbative methods for nonlinear oscillations
-
Amore P., Raya A., and Fernández F.M. Comparison of alternative improved perturbative methods for nonlinear oscillations. Phys Lett A340 (2005) 201-208
-
(2005)
Phys Lett
, vol.A340
, pp. 201-208
-
-
Amore, P.1
Raya, A.2
Fernández, F.M.3
-
15
-
-
0001204237
-
Comments on the method of harmonic-balance
-
Mickens R.E. Comments on the method of harmonic-balance. J Sound Vib 94 (1984) 456-460
-
(1984)
J Sound Vib
, vol.94
, pp. 456-460
-
-
Mickens, R.E.1
-
16
-
-
0035850154
-
Mathematical and numerical study of the Duffing-harmonic oscillator
-
Mickens R.E. Mathematical and numerical study of the Duffing-harmonic oscillator. J Sound Vib 244 (2001) 563-567
-
(2001)
J Sound Vib
, vol.244
, pp. 563-567
-
-
Mickens, R.E.1
-
17
-
-
33746283765
-
Harmonic balance approach to limit cycles for nonlinear jerk equations
-
Gottlieb H.P.W. Harmonic balance approach to limit cycles for nonlinear jerk equations. J Sound Vib 297 (2006) 243-250
-
(2006)
J Sound Vib
, vol.297
, pp. 243-250
-
-
Gottlieb, H.P.W.1
-
18
-
-
33745979117
-
Higher accuracy analytical approximations to the Duffing-harmonic oscillator
-
Lim C.W., Wu B.S., and Sun W.P. Higher accuracy analytical approximations to the Duffing-harmonic oscillator. J Sound Vib 296 (2006) 1039-1045
-
(2006)
J Sound Vib
, vol.296
, pp. 1039-1045
-
-
Lim, C.W.1
Wu, B.S.2
Sun, W.P.3
-
19
-
-
33646362797
-
Analytical approximations for the period of a simple pendulum
-
Beléndez A., Hernández A., Márquez A., Beléndez T., and Neipp C. Analytical approximations for the period of a simple pendulum. Eur J Phys 27 (2006) 539-551
-
(2006)
Eur J Phys
, vol.27
, pp. 539-551
-
-
Beléndez, A.1
Hernández, A.2
Márquez, A.3
Beléndez, T.4
Neipp, C.5
-
20
-
-
0038294438
-
A new analytical approach to the Duffing-harmonic oscillator
-
Lim C.W., and Wu B.S. A new analytical approach to the Duffing-harmonic oscillator. Phys Lett A 311 (2003) 365-373
-
(2003)
Phys Lett A
, vol.311
, pp. 365-373
-
-
Lim, C.W.1
Wu, B.S.2
-
21
-
-
33646528864
-
Solution of a Duffing-harmonic oscillator by the method of harmonic balance
-
Hu H., and Tang J.H. Solution of a Duffing-harmonic oscillator by the method of harmonic balance. J Sound Vib 294 (2006) 637-639
-
(2006)
J Sound Vib
, vol.294
, pp. 637-639
-
-
Hu, H.1
Tang, J.H.2
-
22
-
-
33644954455
-
Solution of a quadratic nonlinear oscillator by the method of harmonic balance
-
Hu H. Solution of a quadratic nonlinear oscillator by the method of harmonic balance. J Sound Vib 293 (2006) 462-468
-
(2006)
J Sound Vib
, vol.293
, pp. 462-468
-
-
Hu, H.1
-
23
-
-
23144432847
-
On period doubling bifurcations of cycles and the harmonic balance method
-
Itovich G.R., and Moiola J.L. On period doubling bifurcations of cycles and the harmonic balance method. Chaos, Solitons & Fractals 27 (2005) 647-665
-
(2005)
Chaos, Solitons & Fractals
, vol.27
, pp. 647-665
-
-
Itovich, G.R.1
Moiola, J.L.2
-
24
-
-
33645972898
-
Some asymptotic methods for strongly nonlinear equations
-
He J.H. Some asymptotic methods for strongly nonlinear equations. Int J Mod Phys B 20 (2006) 1141-1199
-
(2006)
Int J Mod Phys B
, vol.20
, pp. 1141-1199
-
-
He, J.H.1
-
26
-
-
33845901516
-
Approximate analytical solutions for oscillation of a mass attached to a stretched elastic wire
-
10.1016/j.jsv.2006.08.025
-
Sun W.P., Wu B.S., and Lim C.W. Approximate analytical solutions for oscillation of a mass attached to a stretched elastic wire. J Sound Vib (2006) 10.1016/j.jsv.2006.08.025
-
(2006)
J Sound Vib
-
-
Sun, W.P.1
Wu, B.S.2
Lim, C.W.3
-
27
-
-
33746584753
-
New interpretation of homotopy perturbation method
-
He J.H. New interpretation of homotopy perturbation method. Int J Mod Phys B 20 (2006) 2561-2568
-
(2006)
Int J Mod Phys B
, vol.20
, pp. 2561-2568
-
-
He, J.H.1
-
28
-
-
1242287587
-
The homotopy perturbation method for nonlinear oscillators with discontinuities
-
He J.H. The homotopy perturbation method for nonlinear oscillators with discontinuities. Appl Math Comp 151 (2004) 287-292
-
(2004)
Appl Math Comp
, vol.151
, pp. 287-292
-
-
He, J.H.1
-
29
-
-
32644482553
-
Approximate period solution for a kind of nonlinear oscillator by He's perturbation method
-
Cai X.C., Wu W.Y., and Li M.S. Approximate period solution for a kind of nonlinear oscillator by He's perturbation method. Int J Non-linear Sci Numer Simulat 7 1 (2006) 109-117
-
(2006)
Int J Non-linear Sci Numer Simulat
, vol.7
, Issue.1
, pp. 109-117
-
-
Cai, X.C.1
Wu, W.Y.2
Li, M.S.3
-
30
-
-
33745852188
-
Homotopy-perturbation for pure nonlinear differential equation
-
Cveticanin L. Homotopy-perturbation for pure nonlinear differential equation. Chaos, Solitons & Fractals 30 (2006) 1221-1230
-
(2006)
Chaos, Solitons & Fractals
, vol.30
, pp. 1221-1230
-
-
Cveticanin, L.1
-
31
-
-
40249116744
-
Application of He's homotopy perturbation method to conservative truly nonlinear oscillators
-
Beléndez A., Beléndez T., Márquez A., and Neipp C. Application of He's homotopy perturbation method to conservative truly nonlinear oscillators. Chaos, Solitons & Fractals 37 (2008) 770-780
-
(2008)
Chaos, Solitons & Fractals
, vol.37
, pp. 770-780
-
-
Beléndez, A.1
Beléndez, T.2
Márquez, A.3
Neipp, C.4
-
32
-
-
34249898148
-
Application of He's homotopy perturbation method to the Duffing-harmonic oscillator
-
Beléndez A., Hernández A., Beléndez T., Fernández E., Álvarez M.L., and Neipp C. Application of He's homotopy perturbation method to the Duffing-harmonic oscillator. Int J Non-linear Sci Numer Simulat 8 1 (2007) 79-88
-
(2007)
Int J Non-linear Sci Numer Simulat
, vol.8
, Issue.1
, pp. 79-88
-
-
Beléndez, A.1
Hernández, A.2
Beléndez, T.3
Fernández, E.4
Álvarez, M.L.5
Neipp, C.6
-
33
-
-
34247260021
-
Application of the homotopy perturbation method to the nonlinear pendulum
-
Beléndez A., Hernández A., Beléndez T., Neipp C., and Márquez A. Application of the homotopy perturbation method to the nonlinear pendulum. Eur J Phys 28 (2007) 93-104
-
(2007)
Eur J Phys
, vol.28
, pp. 93-104
-
-
Beléndez, A.1
Hernández, A.2
Beléndez, T.3
Neipp, C.4
Márquez, A.5
-
34
-
-
33748919061
-
Application of He's homotopy-perturbation method to nonlinear coupled systems of reaction-diffusion equations
-
Ganji D.D., and Sadighi A. Application of He's homotopy-perturbation method to nonlinear coupled systems of reaction-diffusion equations. Int J Non-linear Sci Numer Simulat 7 4 (2006) 411-418
-
(2006)
Int J Non-linear Sci Numer Simulat
, vol.7
, Issue.4
, pp. 411-418
-
-
Ganji, D.D.1
Sadighi, A.2
-
35
-
-
33745859755
-
A numerical solution of Blasius equation by Adomian's decomposition method and comparison with homotopy perturbation method
-
Abbasbandy S. A numerical solution of Blasius equation by Adomian's decomposition method and comparison with homotopy perturbation method. Chaos, Solitons & Fractals 31 (2007) 257-260
-
(2007)
Chaos, Solitons & Fractals
, vol.31
, pp. 257-260
-
-
Abbasbandy, S.1
-
36
-
-
32644456286
-
Thin film flow of a third grade fluid on moving a belt by He's homotopy perturbation method
-
Siddiqui A., Mahmood R., and Ghori Q. Thin film flow of a third grade fluid on moving a belt by He's homotopy perturbation method. Int J Non-linear Sci Numer Simulat 7 1 (2006) 15-26
-
(2006)
Int J Non-linear Sci Numer Simulat
, vol.7
, Issue.1
, pp. 15-26
-
-
Siddiqui, A.1
Mahmood, R.2
Ghori, Q.3
-
37
-
-
30644460357
-
Homotopy perturbation method for solving boundary value problems
-
He J.H. Homotopy perturbation method for solving boundary value problems. Phys Lett A 350 (2006) 87-88
-
(2006)
Phys Lett A
, vol.350
, pp. 87-88
-
-
He, J.H.1
-
38
-
-
33745965279
-
Explicit solutions of Helmhotlz equation and fifth-order KdV equation using homotopy perturbation method
-
Rafei M., and Ganji D.D. Explicit solutions of Helmhotlz equation and fifth-order KdV equation using homotopy perturbation method. Int J Non-linear Sci Numer Simulat 7 3 (2006) 321-328
-
(2006)
Int J Non-linear Sci Numer Simulat
, vol.7
, Issue.3
, pp. 321-328
-
-
Rafei, M.1
Ganji, D.D.2
-
39
-
-
33144478462
-
Assessment of homotopy-perturbation and perturbation methods in heat radiation equations
-
Ganji D.D., and Rajabi A. Assessment of homotopy-perturbation and perturbation methods in heat radiation equations. Int Commun Heat Mass Transf 33 (2006) 391-400
-
(2006)
Int Commun Heat Mass Transf
, vol.33
, pp. 391-400
-
-
Ganji, D.D.1
Rajabi, A.2
-
40
-
-
33748924289
-
Homotopy perturbation method and axisymmetric flow over a stretching sheet
-
Ariel P.D., and Hayat T. Homotopy perturbation method and axisymmetric flow over a stretching sheet. Int J Non-linear Sci Numer Simulat 7 4 (2006) 399-406
-
(2006)
Int J Non-linear Sci Numer Simulat
, vol.7
, Issue.4
, pp. 399-406
-
-
Ariel, P.D.1
Hayat, T.2
-
41
-
-
33748421926
-
Application of He's homotopy perturbation method to functional integral equations
-
Abbasbandy S. Application of He's homotopy perturbation method to functional integral equations. Chaos, Solitons & Fractals 31 (2007) 1243-1247
-
(2007)
Chaos, Solitons & Fractals
, vol.31
, pp. 1243-1247
-
-
Abbasbandy, S.1
-
42
-
-
24344480923
-
A generalized iteration procedure for calculating approximations to periodic solutions of truly nonlinear oscillators
-
Mickens R.E. A generalized iteration procedure for calculating approximations to periodic solutions of truly nonlinear oscillators. J Sound Vib 287 (2005) 1045-1051
-
(2005)
J Sound Vib
, vol.287
, pp. 1045-1051
-
-
Mickens, R.E.1
-
43
-
-
0002836350
-
Elliptic integrals
-
Abramowitz M., and Stegun I.A. (Eds), Dover Publications, Inc., New York
-
Milne-Thomson L.M. Elliptic integrals. In: Abramowitz M., and Stegun I.A. (Eds). Handbook of mathematical functions (1972), Dover Publications, Inc., New York
-
(1972)
Handbook of mathematical functions
-
-
Milne-Thomson, L.M.1
-
45
-
-
2442710301
-
Hypergeometric functions
-
Abramowitz M., and Stegun I.A. (Eds), Dover Publications, Inc., New York
-
Oberhettinger F. Hypergeometric functions. In: Abramowitz M., and Stegun I.A. (Eds). Handbook of mathematical functions (1972), Dover Publications, Inc., New York
-
(1972)
Handbook of mathematical functions
-
-
Oberhettinger, F.1
|