-
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. Nonlinear Sci. Numer. Simul. 1 (2000) 51-70
-
(2000)
Int. J. Nonlinear Sci. Numer. Simul.
, vol.1
, pp. 51-70
-
-
He, J.H.1
-
5
-
-
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 Vibration 229 (2000) 1257-1263
-
(2000)
J. Sound Vibration
, vol.229
, pp. 1257-1263
-
-
He, J.H.1
-
6
-
-
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. Nonlinear Sci. Numer. Simul. 2 (2001) 317-320
-
(2001)
Int. J. Nonlinear Sci. Numer. Simul.
, vol.2
, pp. 317-320
-
-
He, J.H.1
-
7
-
-
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. Nonlinear Mech. 37 (2002) 309-314
-
(2002)
Int. J. Nonlinear Mech.
, vol.37
, pp. 309-314
-
-
He, J.H.1
-
8
-
-
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. Nonlinear Mech. 37 (2002) 315-320
-
(2002)
Int. J. Nonlinear 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 Vibration 283 (2005) 1115-1136
-
(2005)
J. Sound Vibration
, 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. Nonlinear Sci. Numer. Simul. 6 (2005) 207-208
-
(2005)
Int. J. Nonlinear Sci. Numer. Simul.
, 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. A 340 (2005) 201-208
-
(2005)
Phys. Lett. A
, vol.340
, pp. 201-208
-
-
Amore, P.1
Raya, A.2
Fernández, F.M.3
-
15
-
-
34249996463
-
Application of parameter-expanding method to strongly nonlinear oscillators
-
Shou D.H., and He J.H. Application of parameter-expanding method to strongly nonlinear oscillators. Int. J. Nonlinear Sci. Numer. Simul. 8 1 (2007) 121-124
-
(2007)
Int. J. Nonlinear Sci. Numer. Simul.
, vol.8
, Issue.1
, pp. 121-124
-
-
Shou, D.H.1
He, J.H.2
-
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 Vibration 244 (2001) 563-567
-
(2001)
J. Sound Vibration
, 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 Vibration 297 (2006) 243-250
-
(2006)
J. Sound Vibration
, vol.297
, pp. 243-250
-
-
Gottlieb, H.P.W.1
-
18
-
-
33745979117
-
Higher accuracy analytical approximations to the Duffing-harmonic oscillator
-
Lim C.W., and Sun B.S.Wu. Higher accuracy analytical approximations to the Duffing-harmonic oscillator. J. Sound Vibration 296 (2006) 1039-1045
-
(2006)
J. Sound Vibration
, vol.296
, pp. 1039-1045
-
-
Lim, C.W.1
Sun, B.S.Wu.2
-
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
-
-
33947270453
-
Application of the harmonic balance method to a nonlinear oscillator typified by a mass attached to a stretched wire
-
Beléndez A., Hernández A., Beléndez T., Álvarez M.L., Gallego S., Ortuño M., and Neipp C. Application of the harmonic balance method to a nonlinear oscillator typified by a mass attached to a stretched wire. J. Sound Vibration 302 (2007) 1018-1029
-
(2007)
J. Sound Vibration
, vol.302
, pp. 1018-1029
-
-
Beléndez, A.1
Hernández, A.2
Beléndez, T.3
Álvarez, M.L.4
Gallego, S.5
Ortuño, M.6
Neipp, C.7
-
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 Vibration 294 (2006) 637-639
-
(2006)
J. Sound Vibration
, 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 Vibration 293 (2006) 462-468
-
(2006)
J. Sound Vibration
, 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. Internat. J. Modern Phys. B 20 (2006) 1141-1199
-
(2006)
Internat. J. Modern Phys. B
, vol.20
, pp. 1141-1199
-
-
He, J.H.1
-
25
-
-
33746584753
-
New interpretation of homotopy perturbation method
-
He J.H. New interpretation of homotopy perturbation method. Internat. J. Modern Phys. B 20 (2006) 2561-2568
-
(2006)
Internat. J. Modern Phys. B
, vol.20
, pp. 2561-2568
-
-
He, J.H.1
-
26
-
-
1242287587
-
The homotopy perturbation method for nonlinear oscillators with discontinuities
-
He J.H. The homotopy perturbation method for nonlinear oscillators with discontinuities. Appl. Math. Comput. 151 (2004) 287-292
-
(2004)
Appl. Math. Comput.
, vol.151
, pp. 287-292
-
-
He, J.H.1
-
27
-
-
34547666881
-
Application of homotopy-perturbation method to nonlinear population dynamics models
-
Chowdhury M.S.H., and Hashim I. Application of homotopy-perturbation method to nonlinear population dynamics models. Phys. Lett. A 368 (2007) 251-258
-
(2007)
Phys. Lett. A
, vol.368
, pp. 251-258
-
-
Chowdhury, M.S.H.1
Hashim, I.2
-
28
-
-
34347219776
-
Inverse problem of diffusion by He's homotopy perturbation method
-
Shakeri F., and Dehghan M. Inverse problem of diffusion by He's homotopy perturbation method. Phys. Scr. 75 (2007) 551-556
-
(2007)
Phys. Scr.
, vol.75
, pp. 551-556
-
-
Shakeri, F.1
Dehghan, M.2
-
29
-
-
38949209076
-
Higher-order approximate solutions to the relativistic and Duffing-harmonic oscillators by modified He's homotopy methods
-
Beléndez A., Pascual C., Fernández E., Neipp C., and Beléndez T. Higher-order approximate solutions to the relativistic and Duffing-harmonic oscillators by modified He's homotopy methods. Phys. Scr. 77 (2008) 025004
-
(2008)
Phys. Scr.
, vol.77
, pp. 025004
-
-
Beléndez, A.1
Pascual, C.2
Fernández, E.3
Neipp, C.4
Beléndez, T.5
-
30
-
-
34247260021
-
Application of the homotopy perturbation method to the nonlinear pendulum
-
Beléndez A., Hernández A., Beléndez T., 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
Márquez, A.4
-
31
-
-
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. Nonlinear Sci. Numer. Simul. 8 1 (2007) 79-88
-
(2007)
Int. J. Nonlinear Sci. Numer. Simul.
, 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
-
32
-
-
35748957246
-
Application of He's homotopy perturbation method to the relativistic (an)harmonic oscillator. I: Comparison between approximate and exact frequencies
-
Beléndez A., Pascual C., Márquez A., and Méndez D.I. Application of He's homotopy perturbation method to the relativistic (an)harmonic oscillator. I: Comparison between approximate and exact frequencies. Int. J. Nonlinear Sci. Numer. Simul. 8 4 (2007) 483-491
-
(2007)
Int. J. Nonlinear Sci. Numer. Simul.
, vol.8
, Issue.4
, pp. 483-491
-
-
Beléndez, A.1
Pascual, C.2
Márquez, A.3
Méndez, D.I.4
-
33
-
-
35748951994
-
Application of He's homotopy perturbation method to the relativistic (an)harmonic oscillator. II: A more accurate approximate solution
-
Beléndez A., Pascual C., Méndez D.I., Álvarez M.L., and Neipp C. Application of He's homotopy perturbation method to the relativistic (an)harmonic oscillator. II: A more accurate approximate solution. Int. J. Nonlinear Sci. Numer. Simul. 8 4 (2007) 493-504
-
(2007)
Int. J. Nonlinear Sci. Numer. Simul.
, vol.8
, Issue.4
, pp. 493-504
-
-
Beléndez, A.1
Pascual, C.2
Méndez, D.I.3
Álvarez, M.L.4
Neipp, C.5
-
34
-
-
33751528556
-
Homotopy perturbation method for the solution of the electrostatic potential differential equation
-
Zhang L.-N., and He J.H. Homotopy perturbation method for the solution of the electrostatic potential differential equation. Math. Prob. Engng. 2006 (2006) 1-6
-
(2006)
Math. Prob. Engng.
, vol.2006
, pp. 1-6
-
-
Zhang, L.-N.1
He, J.H.2
-
35
-
-
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. Nonlinear Sci. Numer. Simul. 7 4 (2006) 411-418
-
(2006)
Int. J. Nonlinear Sci. Numer. Simul.
, vol.7
, Issue.4
, pp. 411-418
-
-
Ganji, D.D.1
Sadighi, A.2
-
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. Nonlinear Sci. Numer. Simul. 7 1 (2006) 15-26
-
(2006)
Int. J. Nonlinear Sci. Numer. Simul.
, 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. Nonlinear Sci. Numer. Simul. 7 3 (2006) 321-328
-
(2006)
Int. J. Nonlinear Sci. Numer. Simul.
, vol.7
, Issue.3
, pp. 321-328
-
-
Rafei, M.1
Ganji, D.D.2
-
39
-
-
33646893481
-
The application of He's homotopy perturbation method to nonlinear equations arising in heat transfer
-
Ganji D.D. The application of He's homotopy perturbation method to nonlinear equations arising in heat transfer. Phys. Lett. 355 (2006) 337-341
-
(2006)
Phys. Lett.
, vol.355
, pp. 337-341
-
-
Ganji, D.D.1
-
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. Nonlinear Sci. Numer. Simul. 7 4 (2006) 399-406
-
(2006)
Int. J. Nonlinear Sci. Numer. Simul.
, vol.7
, Issue.4
, pp. 399-406
-
-
Ariel, P.D.1
Hayat, T.2
-
42
-
-
53249128976
-
Approximate solutions for conservative nonlinear oscillators by He's homotopy method
-
Beléndez A., Alvarez M.L., Méndez D.I., Fernández E., Yebra M.S., and Beléndez T. Approximate solutions for conservative nonlinear oscillators by He's homotopy method. Z. Nat. forsch. : Phys. Sci. 63a (2008) 529-537
-
(2008)
Z. Nat. forsch. : Phys. Sci.
, vol.63 a
, pp. 529-537
-
-
Beléndez, A.1
Alvarez, M.L.2
Méndez, D.I.3
Fernández, E.4
Yebra, M.S.5
Beléndez, T.6
-
43
-
-
0037461472
-
Analysis of non-linear oscillators having non-polynomial elastic terms
-
Mickens R.E. Analysis of non-linear oscillators having non-polynomial elastic terms. J. Sound Vibration 255 (2002) 789-792
-
(2002)
J. Sound Vibration
, vol.255
, pp. 789-792
-
-
Mickens, R.E.1
-
46
-
-
13444260836
-
Accurate higher-order approximations to frequencies of nonlinear oscillators with fractional powers
-
Lim C.W., and Wu. B.S. Accurate higher-order approximations to frequencies of nonlinear oscillators with fractional powers. J. Sound Vibration 281 (2005) 1157-1162
-
(2005)
J. Sound Vibration
, vol.281
, pp. 1157-1162
-
-
Lim, C.W.1
Wu., B.S.2
-
47
-
-
33748424980
-
An analytical approximate technique for a class of strongly non-linear oscillators
-
Wu. B.S., Sun W.P., and Lim C.W. An analytical approximate technique for a class of strongly non-linear oscillators. Int. J. Nonlinear Mech. 41 (2006) 766-774
-
(2006)
Int. J. Nonlinear Mech.
, vol.41
, pp. 766-774
-
-
Wu., B.S.1
Sun, W.P.2
Lim, C.W.3
-
48
-
-
33846210009
-
1 / 3 force by He's modified Lindstedt-Poincaré method
-
1 / 3 force by He's modified Lindstedt-Poincaré method. J. Sound Vibration 301 (2007) 415-419
-
(2007)
J. Sound Vibration
, vol.301
, pp. 415-419
-
-
Ozis, T.1
Yildirim, A.2
-
49
-
-
64749089492
-
The incomplete gamma function and related functions
-
Academic Press, Orlando FL (Section 10.5)
-
Arfken G. The incomplete gamma function and related functions. Mathematical Methods in Physics (1985), Academic Press, Orlando FL 565-572 (Section 10.5)
-
(1985)
Mathematical Methods in Physics
, pp. 565-572
-
-
Arfken, G.1
-
50
-
-
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
|