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1

A new modification of the Adomian decomposition method for solving boundary value problems for higher order nonlinear differential equations

Jun-Sheng Duan, Randolph Rach

Journal:

Applied Mathematics and Computation

Year:

2011

Language:

english

File:

PDF, 1.77 MB

english, 2011

2

Adomian decomposition method for solving the Volterra integral form of the Lane–Emden equations with initial values and boundary conditions

Wazwaz, Abdul-Majid, Rach, Randolph, Duan, Jun-Sheng

Journal:

Applied Mathematics and Computation

Year:

2013

Language:

english

File:

PDF, 574 KB

english, 2013

3

A study on the systems of the Volterra integral forms of the Lane-Emden equations by the Adomian decomposition method

Wazwaz, Abdul-Majid, Rach, Randolph, Duan, Jun-Sheng

Journal:

Mathematical Methods in the Applied Sciences

Year:

2014

Language:

english

File:

PDF, 242 KB

english, 2014

4

Solutions of the initial value problem for nonlinear fractional ordinary differential equations by the Rach–Adomian–Meyers modified decomposition method

Jun-Sheng Duan, Temuer Chaolu, Randolph Rach

Journal:

Applied Mathematics and Computation

Year:

2012

Language:

english

File:

PDF, 707 KB

english, 2012

5

Solving New Fourth–Order Emden–Fowler-Type Equations by the Adomian Decomposition Method

Wazwaz, Abdul-Majid, Rach, Randolph, Duan, Jun-Sheng

Journal:

International Journal for Computational Methods in Engineering Science and Mechanics

Year:

2015

Language:

english

File:

PDF, 188 KB

english, 2015

6

On the Adomian decomposition method for solving the Stefan problem

Bougoffa, Lazhar, Rach, Randolph, Wazwaz, Abdul-Majid, Duan, Jun-Sheng

Journal:

International Journal of Numerical Methods for Heat & Fluid Flow

Year:

2015

Language:

english

File:

PDF, 408 KB

english, 2015

7

Effect of coarse TiN inclusions and microstructure on impact toughness fluctuation in Ti micro-alloyed steel

Liu, Tao, Long, Mu-jun, Chen, Deng-fu, Duan, Hua-mei, Gui, Lin-tao, Yu, Sheng, Cao, Jun-sheng, Chen, Hua-biao, Fan, He-lin

Journal:

Journal of Iron and Steel Research, International

Year:

2018

Language:

english

File:

PDF, 2.82 MB

english, 2018

8

Recurrence triangle for Adomian polynomials

Journal:

Applied Mathematics and Computation

Year:

2010

Language:

english

File:

PDF, 185 KB

english, 2010

9

An efficient algorithm for the multivariable Adomian polynomials

Journal:

Applied Mathematics and Computation

Year:

2010

Language:

english

File:

PDF, 236 KB

english, 2010

10

New higher-order numerical one-step methods based on the Adomian and the modified decomposition methods

Jun-Sheng Duan, Randolph Rach

Journal:

Applied Mathematics and Computation

Year:

2011

Language:

english

File:

PDF, 997 KB

english, 2011

11

New recurrence algorithms for the nonclassic Adomian polynomials

Journal:

Computers & Mathematics with Applications

Year:

2011

Language:

english

File:

PDF, 340 KB

english, 2011

12

Higher-order numeric Wazwaz–El-Sayed modified Adomian decomposition algorithms

Jun-Sheng Duan, Randolph Rach

Journal:

Computers & Mathematics with Applications

Year:

2012

Language:

english

File:

PDF, 1.10 MB

english, 2012

13

Parametrized temperature distribution and efficiency of convective straight fins with temperature-dependent thermal conductivity by a new modified decomposition method

Duan, Jun-Sheng, Wang, Zhong, Fu, Shou-Zhong, Chaolu, Temuer

Journal:

International Journal of Heat and Mass Transfer

Year:

2013

Language:

english

File:

PDF, 1.77 MB

english, 2013

14

Fractional diffusion-wave equations on finite interval by Laplace transform

Duan, Jun-Sheng, Fu, Shou-Zhong, Wang, Zhong

Journal:

Integral Transforms and Special Functions

Year:

2014

Language:

english

File:

PDF, 333 KB

english, 2014

15

The modified Adomian decomposition method and the noise terms phenomenon for solving nonlinear weakly-singular Volterra and Fredholm integral equations

Wazwaz, Abdul-Majid, Rach, Randolph, Duan, Jun-Sheng

Journal:

Central European Journal of Engineering

Year:

2013

Language:

english

File:

PDF, 285 KB

english, 2013

16

Standard Bases of a Vector Space Over a Linearly Ordered Incline

Duan, Jun-Sheng, Guo, Ai-Ping, Zhao, Fen-Xia, Xu, Li, Tang, Wen-Guang

Journal:

Communications in Algebra

Year:

2011

Language:

english

File:

PDF, 127 KB

english, 2011

17

Higher-order numeric solutions of the Lane-Emden type equations derived from the multi-stage modified Adomian decomposition method

Duan, Jun-Sheng, Rach, Randolph, Wazwaz, Abdul-Majid

Journal:

International Journal of Computer Mathematics

Year:

2015

Language:

english

File:

PDF, 864 KB

english, 2015

18

A detailed analysis for the fundamental solution of fractional vibration equation

Liu, Li-Li, Duan, Jun-Sheng

Journal:

Open Mathematics

Year:

2015

Language:

english

File:

PDF, 483 KB

english, 2015

19

Fractional model and solution for the Black-Scholes equation

Duan, Jun-Sheng, Lu, Lei, Chen, Lian, An, Yu-Lian

Journal:

Mathematical Methods in the Applied Sciences

Year:

2017

Language:

english

File:

PDF, 247 KB

english, 2017

20

Near-field and far-field approximations by the Adomian and asymptotic decomposition methods

Randolph Rach, Jun-Sheng Duan

Journal:

Applied Mathematics and Computation

Year:

2011

Language:

english

File:

PDF, 363 KB

english, 2011

21

Convenient analytic recurrence algorithms for the Adomian polynomials

Journal:

Applied Mathematics and Computation

Year:

2011

Language:

english

File:

PDF, 239 KB

english, 2011

22

The transitive closure, convergence of powers and adjoint of generalized fuzzy matrices

Journal:

Fuzzy Sets and Systems

Year:

2004

Language:

english

File:

PDF, 243 KB

english, 2004

23

Concentration distribution of fractional anomalous diffusion caused by an instantaneous point source

Duan Jun-sheng, Xu Ming-yu

Journal:

Applied Mathematics and Mechanics

Year:

2003

Language:

english

File:

PDF, 301 KB

english, 2003

24

Identification and characterization of theEnterobactercomplex causing mulberry (Morus alba) wilt disease in China

Guo-Fen Wang, Guan-Lin Xie, Bo Zhu, Jun-Sheng Huang, Bo Liu, Praphat Kawicha, Lesley Benyon, Yong-Ping Duan

Journal:

European Journal of Plant Pathology

Year:

2010

Language:

english

File:

PDF, 546 KB

english, 2010

25

New ideas for decomposing nonlinearities in differential equations

Journal:

Applied Mathematics and Computation

Year:

2011

Language:

english

File:

PDF, 245 KB

english, 2011

26

The Adomian decomposition method with convergence acceleration techniques for nonlinear fractional differential equations

Duan, Jun-Sheng, Chaolu, Temuer, Rach, Randolph, Lu, Lei

Journal:

Computers & Mathematics with Applications

Year:

2013

Language:

english

File:

PDF, 481 KB

english, 2013

27

Fractional diffusion equation in half-space with Robin boundary condition

Duan, Jun-Sheng, Wang, Zhong, Fu, Shou-Zhong

Journal:

Central European Journal of Physics

Year:

2013

Language:

english

File:

PDF, 452 KB

english, 2013

28

Solution of the model of beam-type micro- and nano-scale electrostatic actuators by a new modified Adomian decomposition method for nonlinear boundary value problems

Duan, Jun-Sheng, Rach, Randolph, Wazwaz, Abdul-Majid

Journal:

International Journal of Non-Linear Mechanics

Year:

2013

Language:

english

File:

PDF, 468 KB

english, 2013

29

Eigenvalue problems for fractional ordinary differential equations

Duan, Jun-Sheng, Wang, Zhong, Liu, Yu-Lu, Qiu, Xiang

Journal:

Chaos, Solitons & Fractals

Year:

2013

Language:

english

File:

PDF, 721 KB

english, 2013

30

A new modified Adomian decomposition method and its multistage form for solving nonlinear boundary value problems with Robin boundary conditions

Duan, Jun-Sheng, Rach, Randolph, Wazwaz, Abdul-Majid, Chaolu, Temuer, Wang, Zhong

Journal:

Applied Mathematical Modelling

Year:

2013

Language:

english

File:

PDF, 875 KB

english, 2013

31

Analytic approximation of the blow-up time for nonlinear differential equations by the ADM-Padé technique

Duan, Jun-Sheng, Rach, Randolph, Lin, Shi-Ming

Journal:

Mathematical Methods in the Applied Sciences

Year:

2013

Language:

english

File:

PDF, 2.93 MB

english, 2013

32

A pull-in parameter analysis for the cantilever NEMS actuator model including surface energy, fringing field and Casimir effects

Duan, Jun-Sheng, Rach, Randolph

Journal:

International Journal of Solids and Structures

Year:

2013

Language:

english

File:

PDF, 869 KB

english, 2013

33

The zeros of the solutions of the fractional oscillation equation

Duan, Jun-Sheng, Wang, Zhong, Fu, Shou-Zhong

Journal:

Fractional Calculus and Applied Analysis

Year:

2014

Language:

english

File:

PDF, 1.08 MB

english, 2014

34

Solving coupled Lane–Emden boundary value problems in catalytic diffusion reactions by the Adomian decomposition method

Rach, Randolph, Duan, Jun-Sheng, Wazwaz, Abdul-Majid

Journal:

Journal of Mathematical Chemistry

Year:

2014

Language:

english

File:

PDF, 296 KB

english, 2014

35

The Volterra integral form of the Lane–Emden equation: new derivations and solution by the Adomian decomposition method

Rach, Randolph, Wazwaz, Abdul-Majid, Duan, Jun-Sheng

Journal:

Journal of Applied Mathematics and Computing

Year:

2015

Language:

english

File:

PDF, 206 KB

english, 2015

36

The periodic solution of Stokes’ second problem for viscoelastic fluids as characterized by a fractional constitutive equation

Duan, Jun-Sheng, Qiu, Xiang

Journal:

Journal of Non-Newtonian Fluid Mechanics

Year:

2014

Language:

english

File:

PDF, 498 KB

english, 2014

37

collisions at 25 MeV/nucleon

Liu, Fu-Hu, Li, Jun-Sheng, Duan, Mai-Ying

Journal:

Physical Review C

Year:

2007

Language:

english

File:

PDF, 340 KB

english, 2007

38

A segmented and weighted Adomian decomposition algorithm for boundary value problem of nonlinear groundwater equation

Yun, Yin-shan, Chaolu, Temuer, Duan, Jun-sheng

Journal:

Mathematical Methods in the Applied Sciences

Year:

2014

Language:

english

File:

PDF, 2.49 MB

english, 2014

39

Time- and space-fractional partial differential equations

Duan, Jun-Sheng

Journal:

Journal of Mathematical Physics

Year:

2005

Language:

english

File:

PDF, 341 KB

english, 2005

40

On the Solution of Non-Isothermal Reaction-Diffusion Model Equations in a Spherical Catalyst by the Modified Adomian Method

Rach, Randolph, Duan, Jun-Sheng, Wazwaz, Abdul-Majid

Journal:

Chemical Engineering Communications

Year:

2015

Language:

english

File:

PDF, 439 KB

english, 2015

41

A reliable analysis of oxygen diffusion in a spherical cell with nonlinear oxygen uptake kinetics

Rach, Randolph, Wazwaz, Abdul-Majid, Duan, Jun-Sheng

Journal:

International Journal of Biomathematics

Year:

2014

Language:

english

File:

PDF, 245 KB

english, 2014

42

Steady-state concentrations of carbon dioxide absorbed into phenyl glycidyl ether solutions by the Adomian decomposition method

Duan, Jun-Sheng, Rach, Randolph, Wazwaz, Abdul-Majid

Journal:

Journal of Mathematical Chemistry

Year:

2015

Language:

english

File:

PDF, 834 KB

english, 2015

43

A reliable algorithm for positive solutions of nonlinear boundary value problems by the multistage Adomian decomposition method

Duan, Jun-Sheng, Rach, Randolph, Wazwaz, Abdul-Majid

Journal:

Open Engineering

Year:

2014

Language:

english

File:

PDF, 671 KB

english, 2014

44

Similarity Solution for Fractional Diffusion Equation

Duan, Jun-Sheng, Guo, Ai-Ping, Yun, Wen-Zai

Journal:

Abstract and Applied Analysis

Year:

2014

Language:

english

File:

PDF, 245 KB

english, 2014

45

Solving a class of linear nonlocal boundary value problems using the reproducing kernel

Li, Zhi-Yuan, Wang, Yu-Lan, Tan, Fu-Gui, Wan, Xiao-Hui, Yu, Hao, Duan, Jun-Sheng

Journal:

Applied Mathematics and Computation

Year:

2015

Language:

english

File:

PDF, 499 KB

english, 2015

46

An improved model for the cantilever NEMS actuator including the surface energy, fringing field and Casimir effects

Farrokhabadi, Amin, Mohebshahedin, Abed, Rach, Randolph, Duan, Jun-Sheng

Journal:

Physica E: Low-dimensional Systems and Nanostructures

Year:

2016

Language:

english

File:

PDF, 748 KB

english, 2016

47

Response of a fractional nonlinear system to harmonic excitation by the averaging method

Duan, Jun-Sheng, Huang, Can, Liu, Li-Li

Journal:

Year:

2015

Language:

english

File:

PDF, 462 KB

english, 2015

48

[WORLD SCIENTIFIC 2015 International Conference on Mechanics and Mechatronics (ICMM2015) - Changsha, Hunan, China (13–15 March 2015)] Mechanics and Mechatronics (ICMM2015) - Steady-state response of fractional vibration system with harmonic excitation

Huang, Can, Duan, Jun-Sheng

Language:

english

File:

PDF, 300 KB

english

49

[WORLD SCIENTIFIC 2015 International Conference on Mechanics and Mechatronics (ICMM2015) - Changsha, Hunan, China (13–15 March 2015)] Mechanics and Mechatronics (ICMM2015) - Pull-in parameter analysis for the cantilever NEMS actuator considering fringing field and Casimir effects

Duan, Jun-Sheng

Language:

english

File:

PDF, 352 KB

english

50

Lévy stable distribution and space-fractional Fokker–Planck type equation

Duan, Jun-Sheng, Chaolu, Temuer, Wang, Zhong, Fu, Shou-Zhong

Journal:

Journal of King Saud University - Science

Year:

2016

Language:

english

File:

PDF, 496 KB

english, 2016