Shijun Liao

Articles in Scholarly Journals [Incomplete List]

  1. A Series Solution of the Unsteady Von Kármán Swirling Viscous Flows
    Acta Applicandae Mathematicae, vol. 94, no. 3, pp. 215–231, 2007
  2. MNi4.8Sn0.2(M=La, Nd)-supported multi-walled carbon nanotube composites as hydrogen storage materials
    Chinese Science Bulletin, vol. 52, no. 12, pp. 1616–1622, 2007
  3. Explicit series solution of travelling waves with a front of Fisher equation
    Chaos, Solitons & Fractals, vol. 31, no. 2, pp. 462–472, 2007
  4. Series solutions of unsteady three-dimensional MHD flow and heat transfer in the boundary layer over an impulsively stretching plate
    European Journal of Mechanics - B/Fluids, vol. 26, no. 1, pp. 15–27, 2007
  5. Series solutions for a nonlinear model of combined convective and radiative cooling of a spherical body
    International Journal of Heat and Mass Transfer, vol. 49, no. 15-16, pp. 2437–2445, 2006
  6. Series solution of unsteady boundary layer flows of non-Newtonian fluids near a forward stagnation point
    Journal of Non-Newtonian Fluid Mechanics, vol. 139, no. 1-2, pp. 31–43, 2006
  7. On the explicit, purely analytic solution of Von K?rm?n swirling viscous flow
    Communications in Nonlinear Science and Numerical Simulation, vol. 11, no. 1, pp. 83–93, 2006
  8. An analytic solution of unsteady boundary-layer flows caused by an impulsively stretching plate
    Communications in Nonlinear Science and Numerical Simulation, vol. 11, no. 3, pp. 326–339, 2006
  9. Exponentially decaying boundary layers as limiting cases of families of algebraically decaying ones
    Zeitschrift für angewandte Mathematik und Physik, vol. 57, no. 5, pp. 777–792, 2006
  10. Hydrogen storage of multiwalled carbon nanotubes coated with Pd-Ni nanoparticles under moderate conditions
    Chinese Science Bulletin, vol. 51, no. 24, pp. 2959–2963, 2006
  11. Series solutions of unsteady MHD flows above a rotating disk
    Meccanica, vol. 41, no. 6, pp. 599–609, 2006
  12. A short communication on Dr. He’s modified Lindstedt–Poincaré method
    Nonlinear Dynamics, vol. 49, no. 1-2, pp. 317–318, 2006
  13. Series Solutions of Unsteady Boundary-Layer Flows over a Stretching Flat Plate
    Studies in Applied Mathematics, vol. 117, no. 3, pp. 239–263, 2006
  14. Analytic Series Solution for Unsteady Mixed Convection Boundary Layer Flow Near the Stagnation Point on a Vertical Surface in a Porous Medium
    Transport in Porous Media, vol. 61, no. 3, pp. 365–379, 2005
  15. Some notes on the general boundary element method for highly nonlinear problems
    Communications in Nonlinear Science and Numerical Simulation, vol. 10, no. 7, pp. 725–735, 2005
  16. An analytic approach to solve multiple solutions of a strongly nonlinear problem
    Applied Mathematics and Computation, vol. 169, no. 2, pp. 854–865, 2005
  17. Comparison between the homotopy analysis method and homotopy perturbation method
    Applied Mathematics and Computation, vol. 169, no. 2, pp. 1186–1194, 2005
  18. A challenging nonlinear problem for numerical techniques
    Journal of Computational and Applied Mathematics, vol. 181, no. 2, pp. 467–472, 2005
  19. Solving the one-loop soliton solution of the Vakhnenko equation by means of the Homotopy analysis method
    Chaos, Solitons & Fractals, vol. 23, no. 5, pp. 1733–1740, 2005
  20. Solving solitary waves with discontinuity by means of the homotopy analysis method
    Chaos, Solitons & Fractals, vol. 26, no. 1, pp. 177–185, 2005
  21. Series solutions of unsteady magnetohydrodynamic flows of non-Newtonian fluids caused by an impulsively stretching plate
    Journal of Non-Newtonian Fluid Mechanics, vol. 129, no. 1, pp. 46–55, 2005
  22. A new branch of solutions of boundary-layer flows over an impermeable stretched plate
    International Journal of Heat and Mass Transfer, vol. 48, no. 12, pp. 2529–2539, 2005
  23. Explicit analytic solution for similarity boundary layer equations
    International Journal of Heat and Mass Transfer, vol. 47, no. 1, pp. 75–85, 2004
  24. Solving high Reynolds-number viscous flows by the general BEM and domain decomposition method
    International Journal for Numerical Methods in Fluids, vol. 47, no. 3, pp. 185–199, 2004
  25. An analytic approximate approach for free oscillations of self-excited systems
    International Journal of Non-Linear Mechanics, vol. 39, no. 2, pp. 271–280, 2004
  26. On the homotopy analysis method for nonlinear problems
    Applied Mathematics and Computation, vol. 147, no. 2, pp. 499–513, 2004
  27. A new analytic algorithm of Lane–Emden type equations
    Applied Mathematics and Computation, vol. 142, no. 1, pp. 1–16, 2003
  28. An explicit analytic solution to the Thomas–Fermi equation
    Applied Mathematics and Computation, vol. 144, no. 2-3, pp. 495–506, 2003
  29. On the analytic solution of magnetohydrodynamic flows of non-Newtonian fluids over a stretching sheet
    Journal of Fluid Mechanics, vol. 488, pp. 189–212, 2003
  30. Journal of Engineering Mathematics, vol. 45, no. 2, pp. 105–116, 2003
  31. On a generalized taylor theorem: A rational proof of the validity of the homotopy analysis method
    Applied Mathematics and Mechanics, vol. 24, no. 1, pp. 53–60, 2003
  32. An analytic approximate technique for free oscillations of positively damped systems with algebraically decaying amplitude
    International Journal of Non-Linear Mechanics, vol. 38, no. 8, pp. 1173–1183, 2003
  33. An explicit solution for the combined heat and mass transfer by natural convection from a vertical wall in a non-Darcy porous medium
    International Journal of Heat and Mass Transfer, vol. 46, no. 25, pp. 4813–4822, 2003
  34. Analytic solutions of the temperature distribution in Blasius viscous flow problems
    Journal of Fluid Mechanics, vol. 453, pp. 411–425, 2002
  35. A multigrid approach for steady state laminar viscous flows
    International Journal for Numerical Methods in Fluids, vol. 37, no. 1, pp. 107–123, 2001
  36. The general boundary element method and its further generalizations
    International Journal for Numerical Methods in Fluids, vol. 31, no. 3, pp. 627–655, 1999
  37. A uniformly valid analytic solution of two-dimensional viscous flow over a semi-infinite flat plate
    Journal of Fluid Mechanics, vol. 385, pp. 101–128, 1999
  38. Nonlinear Dynamics, vol. 19, no. 2, pp. 93–111, 1999
  39. An explicit, totally analytic approximate solution for Blasius' viscous flow problems
    International Journal of Non-Linear Mechanics, vol. 34, no. 4, pp. 759–778, 1999
  40. General boundary element method: an application of homotopy analysis method
    Communications in Nonlinear Science and Numerical Simulation, vol. 3, no. 3, pp. 159–163, 1998
  41. An explicit, totally analytic solution of laminar viscous flow over a semi-infinite flat plate
    Communications in Nonlinear Science and Numerical Simulation, vol. 3, no. 2, pp. 53–57, 1998
  42. Homotopy analysis method: A new analytic method for nonlinear problems
    Applied Mathematics and Mechanics, vol. 19, no. 10, pp. 957–962, 1998
  43. HIGH-ORDER BEM FORMULATIONS FOR STRONGLY NON-LINEAR PROBLEMS GOVERNED BY QUITE GENERAL NON-LINEAR DIFFERENTIAL OPERATORS. PART 2: SOME 2D EXAMPLES
    International Journal for Numerical Methods in Fluids, vol. 24, no. 9, pp. 863–873, 1997
  44. Homotopy analysis method: A new analytical technique for nonlinear problems
    Communications in Nonlinear Science and Numerical Simulation, vol. 2, no. 2, pp. 95–100, 1997
  45. A kind of approximate solution technique which does not depend upon small parameters — II. An application in fluid mechanics
    International Journal of Non-Linear Mechanics, vol. 32, no. 5, pp. 815–822, 1997
  46. NUMERICAL CALCULATION OF 2D, UNSTEADY FLOW IN CENTRIFUGAL PUMPS: IMPELLER AND VOLUTE INTERACTION
    International Journal for Numerical Methods in Fluids, vol. 22, no. 6, pp. 467–481, 1996
  47. HIGH-ORDER BEM FORMULATIONS FOR STRONGLY NON-LINEAR PROBLEMS GOVERNED BY QUITE GENERAL NON-LINEAR DIFFERENTIAL OPERATORS
    International Journal for Numerical Methods in Fluids, vol. 23, no. 8, pp. 739–751, 1996
  48. An approximate solution technique not depending on small parameters: A special example
    International Journal of Non-Linear Mechanics, vol. 30, no. 3, pp. 371–380, 1995
  49. A general numerical method for the solution of gravity wave problems. Part 1: 2D steep gravity waves in shallow water
    International Journal for Numerical Methods in Fluids, vol. 12, no. 8, pp. 727–745, 1991