Shijun Liao

Orcid: 0000-0002-2372-9502

According to our database1, Shijun Liao authored at least 34 papers between 2003 and 2023.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

2023
Ultra-Chaos in the Motion of Walking Droplet.
Int. J. Bifurc. Chaos, December, 2023

2021
Arbitrary high-order non-oscillatory scheme on hybrid unstructured grids based on multi-moment finite volume method.
J. Comput. Phys., 2021

On Reliable Computation of Lifetime in Transient Chaos.
Int. J. Bifurc. Chaos, 2021

Three-body problem - from Newton to supercomputer plus machine learning.
CoRR, 2021

2020
A conservative solver for surface-tension-driven multiphase flows on collocated unstructured grids.
J. Comput. Phys., 2020

On the risks of using double precision in numerical simulations of spatio-temporal chaos.
J. Comput. Phys., 2020

2019
High-order multi-moment finite volume method with smoothness adaptive fitting reconstruction for compressible viscous flow.
J. Comput. Phys., 2019

A novel homotopy-wavelet approach for solving stream function-vorticity formulation of Navier-Stokes equations.
Commun. Nonlinear Sci. Numer. Simul., 2019

2018
Coiflets solutions for Föppl-von Kármán equations governing large deflection of a thin flat plate by a novel wavelet-homotopy approach.
Numer. Algorithms, 2018

On the generalized wavelet-Galerkin method.
J. Comput. Appl. Math., 2018

2017
On the homotopy analysis method for backward/forward-backward stochastic differential equations.
Numer. Algorithms, 2017

A HAM-based wavelet approach for nonlinear partial differential equations: Two dimensional Bratu problem as an application.
Commun. Nonlinear Sci. Numer. Simul., 2017

A HAM-based wavelet approach for nonlinear ordinary differential equations.
Commun. Nonlinear Sci. Numer. Simul., 2017

2016
On the method of directly defining inverse mapping for nonlinear differential equations.
Numer. Algorithms, 2016

2015
A HAM-based analytic approach for physical models with an infinite number of singularities.
Numer. Algorithms, 2015

Series solutions of non-similarity boundary layer flows of nano-fluids over stretching surfaces.
Numer. Algorithms, 2015

On the Inherent Self-Excited Macroscopic Randomness of Chaotic Three-Body Systems.
Int. J. Bifurc. Chaos, 2015

On cusped solitary waves in finite water depth.
Commun. Nonlinear Sci. Numer. Simul., 2015

2014
Can We Obtain a Reliable Convergent Chaotic Solution in any Given Finite Interval of Time?
Int. J. Bifurc. Chaos, 2014

Do peaked solitary water waves indeed exist?
Commun. Nonlinear Sci. Numer. Simul., 2014

Physical limit of prediction for chaotic motion of three-body problem.
Commun. Nonlinear Sci. Numer. Simul., 2014

Heat and mass transfer of two-layer flows of third-grade nano-fluids in a vertical channel.
Appl. Math. Comput., 2014

2013
Symbolic computation of strongly nonlinear periodic oscillations.
J. Symb. Comput., 2013

An iterative HAM approach for nonlinear boundary value problems in a semi-infinite domain.
Comput. Phys. Commun., 2013

2012
A maple package of automated derivation of homotopy analysis solution for periodic nonlinear oscillations.
J. Syst. Sci. Complex., 2012

The improved homotopy analysis method for the Thomas-Fermi equation.
Appl. Math. Comput., 2012

2009
Laminar flow and heat transfer in the boundary-layer of non-Newtonian fluids over a stretching flat sheet.
Comput. Math. Appl., 2009

The explicit series solution of SIR and SIS epidemic models.
Appl. Math. Comput., 2009

2007
Newton-homotopy analysis method for nonlinear equations.
Appl. Math. Comput., 2007

2005
Comparison between the homotopy analysis method and homotopy perturbation method.
Appl. Math. Comput., 2005

An analytic approach to solve multiple solutions of a strongly nonlinear problem.
Appl. Math. Comput., 2005

2004
On the homotopy analysis method for nonlinear problems.
Appl. Math. Comput., 2004

2003
An explicit analytic solution to the Thomas-Fermi equation.
Appl. Math. Comput., 2003

A new analytic algorithm of Lane-Emden type equations.
Appl. Math. Comput., 2003


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