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2020 – today
- 2023
[j33]Yu Yang, Shijie Qin
, Shijun Liao:
Ultra-Chaos in the Motion of Walking Droplet. Int. J. Bifurc. Chaos 33(16): 2350191:1-2350191:14 (2023)- 2021
- [j32]Tianzhuang Xu, Bin Xie, Shijun Liao:
On Reliable Computation of Lifetime in Transient Chaos. Int. J. Bifurc. Chaos 31(13): 2150193:1-2150193:18 (2021) - [j31]Bin Xie, Xi Deng, Shijun Liao, Feng Xiao:
Arbitrary high-order non-oscillatory scheme on hybrid unstructured grids based on multi-moment finite volume method. J. Comput. Phys. 424: 109841 (2021) - [i1]Shijun Liao, Xiaoming Li, Yu Yang:
Three-body problem - from Newton to supercomputer plus machine learning. CoRR abs/2106.11010 (2021) - 2020
- [j30]Bin Xie, Peng Jin, Hiroki Nakayama, Shijun Liao, Feng Xiao:
A conservative solver for surface-tension-driven multiphase flows on collocated unstructured grids. J. Comput. Phys. 401 (2020) - [j29]Tianli Hu, Shijun Liao:
On the risks of using double precision in numerical simulations of spatio-temporal chaos. J. Comput. Phys. 418: 109629 (2020)
2010 – 2019
- 2019
- [j28]Qiang Yu, Hang Xu, Shijun Liao, Zhaochen Yang:
A novel homotopy-wavelet approach for solving stream function-vorticity formulation of Navier-Stokes equations. Commun. Nonlinear Sci. Numer. Simul. 67: 124-151 (2019) - [j27]Bin Xie, Xi Deng, Shijun Liao, Feng Xiao:
High-order multi-moment finite volume method with smoothness adaptive fitting reconstruction for compressible viscous flow. J. Comput. Phys. 394: 559-593 (2019) - 2018
- [j26]Zhaochen Yang, Shijun Liao:
On the generalized wavelet-Galerkin method. J. Comput. Appl. Math. 331: 178-195 (2018) - [j25]Qiang Yu, Hang Xu, Shijun Liao:
Coiflets solutions for Föppl-von Kármán equations governing large deflection of a thin flat plate by a novel wavelet-homotopy approach. Numer. Algorithms 79(4): 993-1020 (2018) - 2017
- [j24]Zhaochen Yang, Shijun Liao:
A HAM-based wavelet approach for nonlinear ordinary differential equations. Commun. Nonlinear Sci. Numer. Simul. 48: 439-453 (2017) - [j23]Zhaochen Yang, Shijun Liao:
A HAM-based wavelet approach for nonlinear partial differential equations: Two dimensional Bratu problem as an application. Commun. Nonlinear Sci. Numer. Simul. 53: 249-262 (2017) - [j22]Xiaoxu Zhong, Shijun Liao:
On the homotopy analysis method for backward/forward-backward stochastic differential equations. Numer. Algorithms 76(2): 487-519 (2017) - 2016
- [j21]Shijun Liao, Yinlong Zhao:
On the method of directly defining inverse mapping for nonlinear differential equations. Numer. Algorithms 72(4): 989-1020 (2016) - 2015
- [j20]Shijun Liao:
On cusped solitary waves in finite water depth. Commun. Nonlinear Sci. Numer. Simul. 20(3): 769-775 (2015) - [j19]Shijun Liao, Xiaoming Li:
On the Inherent Self-Excited Macroscopic Randomness of Chaotic Three-Body Systems. Int. J. Bifurc. Chaos 25(9): 1530023:1-1530023:11 (2015) - [j18]Dali Xu, Jifeng Cui, Shijun Liao, Ahmed Alsaedi:
A HAM-based analytic approach for physical models with an infinite number of singularities. Numer. Algorithms 69(1): 59-74 (2015) - [j17]Umer Farooq, Tasawar Hayat, Ahmed Alsaedi, Shijun Liao:
Series solutions of non-similarity boundary layer flows of nano-fluids over stretching surfaces. Numer. Algorithms 70(1): 43-59 (2015) - 2014
- [j16]Umer Farooq, Tasawar Hayat, Ahmed Alsaedi, Shijun Liao:
Heat and mass transfer of two-layer flows of third-grade nano-fluids in a vertical channel. Appl. Math. Comput. 242: 528-540 (2014) - [j15]Shijun Liao:
Physical limit of prediction for chaotic motion of three-body problem. Commun. Nonlinear Sci. Numer. Simul. 19(3): 601-616 (2014) - [j14]Shijun Liao:
Do peaked solitary water waves indeed exist? Commun. Nonlinear Sci. Numer. Simul. 19(6): 1792-1821 (2014) - [j13]Shijun Liao:
Can We Obtain a Reliable Convergent Chaotic Solution in any Given Finite Interval of Time? Int. J. Bifurc. Chaos 24(9) (2014) - 2013
- [j12]Yinlong Zhao, Zhiliang Lin, Shijun Liao:
An iterative HAM approach for nonlinear boundary value problems in a semi-infinite domain. Comput. Phys. Commun. 184(9): 2136-2144 (2013) - [j11]Yinping Liu, Shijun Liao, Zhibin Li:
Symbolic computation of strongly nonlinear periodic oscillations. J. Symb. Comput. 55: 72-95 (2013) - 2012
- [j10]Yinlong Zhao, Zhiliang Lin, Zeng Liu, Shijun Liao:
The improved homotopy analysis method for the Thomas-Fermi equation. Appl. Math. Comput. 218(17): 8363-8369 (2012) - [j9]Yinping Liu, Shijun Liao, Zhibin Li:
A maple package of automated derivation of homotopy analysis solution for periodic nonlinear oscillations. J. Syst. Sci. Complex. 25(3): 594-616 (2012)
2000 – 2009
- 2009
- [j8]Hina Khan, Ram N. Mohapatra, K. Vajravelu, Shijun Liao:
The explicit series solution of SIR and SIS epidemic models. Appl. Math. Comput. 215(2): 653-669 (2009) - [j7]Hang Xu, Shijun Liao:
Laminar flow and heat transfer in the boundary-layer of non-Newtonian fluids over a stretching flat sheet. Comput. Math. Appl. 57(9): 1425-1431 (2009) - 2007
- [j6]Saeid Abbasbandy, Y. Tan, Shijun Liao:
Newton-homotopy analysis method for nonlinear equations. Appl. Math. Comput. 188(2): 1794-1800 (2007) - 2005
- [j5]Shuicai Li, Shijun Liao:
An analytic approach to solve multiple solutions of a strongly nonlinear problem. Appl. Math. Comput. 169(2): 854-865 (2005) - [j4]Shijun Liao:
Comparison between the homotopy analysis method and homotopy perturbation method. Appl. Math. Comput. 169(2): 1186-1194 (2005) - 2004
- [j3]Shijun Liao:
On the homotopy analysis method for nonlinear problems. Appl. Math. Comput. 147(2): 499-513 (2004) - 2003
- [j2]Shijun Liao:
A new analytic algorithm of Lane-Emden type equations. Appl. Math. Comput. 142(1): 1-16 (2003) - [j1]Shijun Liao:
An explicit analytic solution to the Thomas-Fermi equation. Appl. Math. Comput. 144(2-3): 495-506 (2003)
Coauthor Index
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