All Stories

  1. Physical-properties-preserving space fourth-order numerical scheme for the coupled damped nonlinear Schrödinger equations with fractional Laplacian

    Article • Physics of Fluids, July 2025, American Institute of Physics

    Dr Hengfei Ding

  2. Numerical analysis of the high-order scheme of the damped nonlinear space fraction Schrödinger equation

    Article • Applied Mathematics Letters, July 2023, Elsevier

    Dr Hengfei Ding

  3. A Note on Numerical Algorithm for the Time-Caputo and Space-Riesz Fractional Diffusion Equation

    Article • Communications on Applied Mathematics and Computation, July 2021, Springer Science + Business Media

    Dr Hengfei Ding

  4. The development of higher-order numerical differential formulas of Caputo derivative and their applications (I)

    Article • Computers & Mathematics with Applications, February 2021, Elsevier

    Dr Hengfei Ding

  5. An efficient high-order numerical algorithm for the time fractional Fokker–Planck equations

    Article • International Journal of Computer Mathematics, March 2020, Taylor & Francis

    Dr Hengfei Ding

  6. Numerical algorithms for the time‐Caputo and space‐Riesz fractional Bloch‐Torrey equations

    Article • Numerical Methods for Partial Differential Equations, December 2019, Wiley

    Dr Hengfei Ding

  7. High-order algorithms for riesz derivative and their applications (IV)

    Article • Fractional Calculus and Applied Analysis, December 2019, De Gruyter

    Dr Hengfei Ding

  8. Numerical Algorithm for the Time-Caputo and Space-Riesz Fractional Diffusion Equation

    Article • Communications on Applied Mathematics and Computation, June 2019, Springer Science + Business Media

    Dr Hengfei Ding

  9. High-order finite difference methods for fractional partial differential equations

    Article • April 2019, De Gruyter

    Dr Hengfei Ding

  10. A High-Order Algorithm for Time-Caputo-Tempered Partial Differential Equation with Riesz Derivatives in Two Spatial Dimensions

    Article • Journal of Scientific Computing, March 2019, Springer Science + Business Media

    Dr Hengfei Ding

  11. A high-order numerical algorithm for two-dimensional time–space tempered fractional diffusion-wave equation

    Article • Applied Numerical Mathematics, January 2019, Elsevier

    Dr Hengfei Ding

  12. High-order numerical approximation formulas for Riemann–Liouville (Riesz) tempered fractional derivatives: Construction and application (II)

    Article • Applied Mathematics Letters, December 2018, Elsevier

    Dr Hengfei Ding

  13. High-order numerical approximation formulas for Riemann-Liouville (Riesz) tempered fractional derivatives: construction and application (I)

    Article • Applied Mathematics and Computation, July 2018, Elsevier

    Dr Hengfei Ding

  14. A new second-order midpoint approximation formula for Riemann–Liouville derivative: algorithm and its application

    Article • IMA Journal of Applied Mathematics, June 2017, Oxford University Press (OUP)

    Dr Hengfei Ding

  15. High-order algorithms for Riesz derivative and their applications (V)

    Article • Numerical Methods for Partial Differential Equations, June 2017, Wiley

    Dr Hengfei Ding

  16. High-order algorithm for the two-dimension Riesz space-fractional diffusion equation

    Article • International Journal of Computer Mathematics, January 2017, Taylor & Francis

    Dr Hengfei Ding

  17. Fractional-compact numerical algorithms for Riesz spatial fractional reaction-dispersion equations

    Article • Fractional Calculus and Applied Analysis, January 2017, De Gruyter

    Dr Hengfei Ding

  18. High-Order Numerical Algorithms for Riesz Derivatives via Constructing New Generating Functions

    Article • Journal of Scientific Computing, November 2016, Springer Science + Business Media

    Dr Hengfei Ding

  19. General Padé approximation method for time–space fractional diffusion equation

    Article • Journal of Computational and Applied Mathematics, June 2016, Elsevier

    Dr Hengfei Ding

  20. High-Order Algorithms for Riesz Derivative and their Applications (III)

    Article • Fractional Calculus and Applied Analysis, January 2016, De Gruyter

    Dr Hengfei Ding

  21. High-order compact difference schemes for the modified anomalous subdiffusion equation

    Article • Numerical Methods for Partial Differential Equations, July 2015, Wiley

    Dr Hengfei Ding

  22. High-order algorithms for Riesz derivative and their applications (II)

    Article • Journal of Computational Physics, July 2015, Elsevier

    Dr Hengfei Ding, Professor YangQuan Chen

  23. Higher order finite difference method for the reaction and anomalous-diffusion equation

    Article • Applied Mathematical Modelling, August 2014, Elsevier

    Dr Hengfei Ding

  24. Improved matrix transform method for the Riesz space fractional reaction dispersion equation

    Article • Journal of Computational and Applied Mathematics, April 2014, Elsevier

    Dr Hengfei Ding

  25. High-Order Algorithms for Riesz Derivative and Their Applications(I)

    Article • Abstract and Applied Analysis, January 2014, Hindawi Publishing Corporation

    Dr Hengfei Ding, Professor YangQuan Chen

  26. Fourth-Order Compact Difference Schemes for the Riemann-Liouville and Riesz Derivatives

    Article • Abstract and Applied Analysis, January 2014, Hindawi Publishing Corporation

    Dr Hengfei Ding

  27. Determination of Coefficients of High-Order Schemes for Riemann-Liouville Derivative

    Article • The Scientific World JOURNAL, January 2014, Hindawi Publishing Corporation

    Dr Hengfei Ding

  28. Mixed spline function method for reaction–subdiffusion equations

    Article • Journal of Computational Physics, June 2013, Elsevier

    Dr Hengfei Ding

  29. Numerical Algorithms for the Fractional Diffusion-Wave Equation with Reaction Term

    Article • Abstract and Applied Analysis, January 2013, Hindawi Publishing Corporation

    Dr Hengfei Ding

  30. New numerical methods for the Riesz space fractional partial differential equations

    Article • Computers & Mathematics with Applications, April 2012, Elsevier

    Dr Hengfei Ding

  31. Finite Difference Method for Solving the Time Fractional Diffusion Equation

    Article • January 2012, Springer Science + Business Media

    Dr Hengfei Ding

  32. A class of difference scheme for solving telegraph equation by new non-polynomial spline methods

    Article • Applied Mathematics and Computation, January 2012, Elsevier

    Dr Hengfei Ding

  33. Notes on Implicit finite difference approximation for time fractional diffusion equations [Comput. Math. Appl. 56 (2008) 1138–1145]

    Article • Computers & Mathematics with Applications, May 2011, Elsevier

    Dr Hengfei Ding

  34. A New Numerical Method for the Riesz Space Fractional Diffusion Equation

    Article • Advanced Materials Research, February 2011, Trans Tech Publications

    Dr Hengfei Ding

  35. A New Numerical Method for Solving Convection-Diffusion Equations

    Article • January 2011, Springer Science + Business Media

    Dr Hengfei Ding

  36. A Class of New Generalized AOR Method for Augmented Systems

    Article • January 2011, Springer Science + Business Media

    Dr Hengfei Ding

  37. A New Family of Methods for Nonlinear Equations

    Article • January 2010, Springer Science + Business Media

    Dr Hengfei Ding

  38. New family of eighth‐order methods for nonlinear equation

    Article • COMPEL The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, November 2009, Emerald

    Dr Hengfei Ding

  39. A note on some quadrature based three-step iterative methods for non-linear equations

    Article • Applied Mathematics and Computation, September 2009, Elsevier

    Dr Hengfei Ding

  40. A new difference scheme with high accuracy and absolute stability for solving convection–diffusion equations

    Article • Journal of Computational and Applied Mathematics, August 2009, Elsevier

    Dr Hengfei Ding

  41. A new fourth-order compact finite difference scheme for the two-dimensional second-order hyperbolic equation

    Article • Journal of Computational and Applied Mathematics, August 2009, Elsevier

    Dr Hengfei Ding

  42. A new unconditionally stable compact difference scheme of O for the 1D linear hyperbolic equation

    Article • Applied Mathematics and Computation, January 2009, Elsevier

    Dr Hengfei Ding

  43. Parameters spline methods for the solution of hyperbolic equations

    Article • Applied Mathematics and Computation, October 2008, Elsevier

    Dr Hengfei Ding

  44. DEVELOPMENT OF PRECIPITATED IRON FISCHER-TROPSCH CATALYSTS

    Article • July 1999, Office of Scientific and Technical Information (OSTI)

    Dr Hengfei Ding