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Adomian decomposition method
OpenAlex ID:
C120317633
Variational iteration method – a kind of non-linear analytical technique: some examples
1999
·
Ji-Huan He
·
International Journal of Non-Linear Mechanics
·
2,565
Homotopy perturbation method for solving boundary value problems
2005
·
Ji-Huan He
·
Physics Letters A
·
1,139
A reliable modification of Adomian decomposition method
1999
·
Abdul-Majid Wazwaz
·
Applied Mathematics and Computation
·
668
A new algorithm for calculating adomian polynomials for nonlinear operators
2000
·
Abdul-Majid Wazwaz
·
Applied Mathematics and Computation
·
605
Convergence of Adomian's Method
1989
·
Yves Cherruault
·
Kybernetes
·
582
Variational iteration method for solving Burger's and coupled Burger's equations
2004
·
M.A. Abdou
, A.A. Soliman
·
Journal of Computational and Applied Mathematics
·
567
PDF
Application of He’s variational iteration method to Helmholtz equation
2005
·
Shaher Momani
, Salah Abuasad
·
Chaos Solitons & Fractals
·
471
Decomposition methods: A new proof of convergence
1993
·
Y. Cherruault
, G. Adomian
·
Mathematical and Computer Modelling
·
462
Convergence of Adomian's method applied to differential equations
1994
·
K. Abbaoui
, Y. Cherruault
·
Computers & Mathematics with Applications
·
447
Analytical solution of a time-fractional Navier–Stokes equation by Adomian decomposition method
2006
·
Shaher Momani
, Zaid Odibat
·
Applied Mathematics and Computation
·
409
Numerical comparison of methods for solving linear differential equations of fractional order
2005
·
Shaher Momani
, Zaid Odibat
·
Chaos Solitons & Fractals
·
390
MHD flow of a Casson fluid over an exponentially shrinking sheet
2012
·
S. Nadeem
, Rizwan Ul Haq
, et al.
·
Scientia Iranica
·
383
PDF
A new algorithm for solving differential equations of Lane–Emden type
2001
·
Abdul-Majid Wazwaz
·
Applied Mathematics and Computation
·
376
Improving Newton–Raphson method for nonlinear equations by modified Adomian decomposition method
2003
·
S. Abbasbandy
·
Applied Mathematics and Computation
·
369
Adomian decomposition: a tool for solving a system of fractional differential equations
2004
·
Varsha Daftardar-Gejji
, Hossein Jafari
·
Journal of Mathematical Analysis and Applications
·
354
PDF
New ideas for proving convergence of decomposition methods
1995
·
K. Abbaoui
, Y. Cherruault
·
Computers & Mathematics with Applications
·
353
The application of homotopy analysis method to solve a generalized Hirota–Satsuma coupled KdV equation
2006
·
S. Abbasbandy
·
Physics Letters A
·
350
New applications of variational iteration method
2005
·
M.A. Abdou
, A.A. Soliman
·
Physica D Nonlinear Phenomena
·
348
Homotopy perturbation transform method for nonlinear equations using He’s polynomials
2010
·
Yasir Khan
, Qingbiao Wu
·
Computers & Mathematics with Applications
·
345
PDF
Nonlinear Stochastic Systems Theory and Applications to Physics
1988
·
George Adomian
·
331
Investigation of squeezing unsteady nanofluid flow using ADM
2013
·
M. Sheikholeslami
, D.D. Ganji
, et al.
·
Powder Technology
·
313
Beyond Adomian polynomials: He polynomials
2007
·
Asghar Ghorbani
·
Chaos Solitons & Fractals
·
313
A new modification of the Adomian decomposition method for linear and nonlinear operators
2001
·
Abdul-Majid Wazwaz
, Salah M. El-Sayed
·
Applied Mathematics and Computation
·
312
Analytical approach to linear fractional partial differential equations arising in fluid mechanics
2006
·
Shaher Momani
, Zaid Odibat
·
Physics Letters A
·
308
The Use of Variational Iteration Method, Differential Transform Method and Adomian Decomposition Method for Solving Different Types of Nonlinear Partial Differential Equations
2006
·
N. Bildik
, A. Konuralp
·
International Journal of Nonlinear Sciences and Numerical Simulation
·
301
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Works count:
5,023
Citation count:
97,730
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