zbMATH — the first resource for mathematics

Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Beyond Adomian polynomials: He polynomials. (English) Zbl 1197.65061
Not reviewed. Editorial remark: There are doubts about a proper peer-reviewing procedure of this journal. The editor-in-chief has retired, but, according to a statement of the publisher, articles accepted under his guidance are published without additional control.

65J99Numerical analysis in abstract spaces
Full Text: DOI
[1] He, J. H.: Homotopy perturbation technique, Comput methods appl mech eng 178, 257-262 (1999) · Zbl 0956.70017
[2] He, J. H.: A coupling method of a homotopy technique and a perturbation technique for non-linear problems, Int J non-linear mech 35, 37-43 (2000) · Zbl 1068.74618 · doi:10.1016/S0020-7462(98)00085-7
[3] He, J. H.: Homotopy perturbation method for bifurcation of nonlinear problems, Int J non-linear sci numer simul 6, 207-208 (2005)
[4] He, J. H.: Application of homotopy perturbation method to nonlinear wave equations, Chaos, solitons & fractals 26, 695-700 (2005) · Zbl 1072.35502
[5] He, J. H.: The homotopy perturbation method for nonlinear oscillators with discontinuities, Appl math comput 151, 287-292 (2004) · Zbl 1039.65052 · doi:10.1016/S0096-3003(03)00341-2
[6] He, J. H.: Homotopy perturbation method: a new nonlinear analytical technique, Appl math comput 135, 73-79 (2003) · Zbl 1030.34013 · doi:10.1016/S0096-3003(01)00312-5
[7] He, J. H.: Limit cycle and bifurcation of nonlinear problems, Chaos, solitons & fractals 26, 827-833 (2005) · Zbl 1093.34520 · doi:10.1016/j.chaos.2005.03.007
[8] He, J. H.: Homotopy perturbation method for solving boundary value problems, Phys lett A 350, 87-88 (2006) · Zbl 1195.65207 · doi:10.1016/j.physleta.2005.10.005
[9] Ariel, P. D.; Hayat, T.; Asghar, S.: Homotopy perturbation method and axisymmetric flow over a stretching sheet, Int J non-linear sci numer simul 7, 399-406 (2006)
[10] Beléndez, A.; Hernández, T.; Beléndez: Application of he’s homotopy perturbation method to the Duffing-harmonic oscillator, Int J non-linear sci numer simul 8, 79-88 (2007)
[11] Cveticanin, L.: Homotopy-perturbation method for pure nonlinear differential equation, Chaos, solitons & fractals 30, 1221-1230 (2006) · Zbl 1142.65418 · doi:10.1016/j.chaos.2005.08.180
[12] Ganji, D. D.; Sadighi, A.: Application of he’s homotopy-perturbation method to nonlinear coupled systems of reaction -- diffusion equations, Int J non-linear sci numer simul 7, 411-418 (2006)
[13] Rafei, M.; Ganji, D. D.: Explicit solutions of Helmholtz equation and fifth-order KdV equation using homotopy perturbation method, Int J non-linear sci numer simul 7, 321-328 (2006) · Zbl 1160.35517
[14] Siddiqui, A. M.; Mahmood, R.; Ghori, Q. K.: Thin film flow of a third grade fluid on a moving belt by he’s homotopy perturbation method, Int J non-linear sci numer simul 7, 7-14 (2006) · Zbl 1187.76622
[15] Siddiqui, A. M.; Ahmed, M.; Ghori, Q. K.: Couette and Poiseuille flows for non-Newtonian fluids, Int J non-linear sci numer simul 7, 15-26 (2006)
[16] Ozis, T.; Yidirim, A.: Determination of limit cycles by a modified straightforward expansion for nonlinear oscillators, Chaos, solitons & fractals 32, 445-448 (2007)
[17] He, J. H.: Some asymptotic methods for strongly nonlinear equations, Int J mod phys B 20, 1141-1199 (2006) · Zbl 1102.34039 · doi:10.1142/S0217979206033796
[18] He, J. H.: New interpretation of homotopy perturbation method, Int J mod phys B 20, 2561-2568 (2006)
[19] Ghorbani, A.; Saberi-Nadjafi, J.: He’s homotopy perturbation method for calculating Adomian polynomials, Int J non-linear sci numer simul 8, 229-232 (2007)
[20] Abassy, T. A.; El-Tawil, M. A.; Saleh, H. K.: The solution of Burgers and good Boussinesq equations using ADM-Padé technique, Chaos, solitons & fractals 32, 1008-1026 (2007) · Zbl 1130.35111 · doi:10.1016/j.chaos.2005.11.029
[21] Odibat, Z. M.; Momani, S.: Application of variational iteration method to nonlinear differential equations of fractional order, Int J non-linear sci numer simul 7, 27-34 (2006) · Zbl 05675858
[22] Bildik, N.; Konuralp, A.: The use of variational iteration method, differential transform method and Adomian decomposition method for solving different types of nonlinear partial differential equations, Int J non-linear sci numer simul 7, 65-70 (2006) · Zbl 1115.65365
[23] Adomian, G.: Solving frontier problems of physics. The decomposition method, (1994) · Zbl 0802.65122
[24] Adomian, G.: A review of the decomposition method in applied mathematics, J math anal appl 135, 501-544 (1988) · Zbl 0671.34053 · doi:10.1016/0022-247X(88)90170-9