All Stories

  1. Novel pattern dynamics in a vegetation-water reaction–diffusion model

    Article • Mathematics and Computers in Simulation, March 2026, Elsevier

    Pro yulan wang

  2. A High-Precision Numerical Method for the Fractional-in-Time Complex Ginzburg–Landau Equation with Periodic Boundary Condition

    Article • Fractal and Fractional, November 2025, MDPI AG

    Pro yulan wang

  3. Dynamic Properties and Numerical Simulations of the Fractional Hastings–Powell Model with the Grünwald–Letnikov Differential Derivative

    Article • International Journal of Bifurcation and Chaos, July 2025, World Scientific Pub Co Pte Lt

    Pro yulan wang

  4. Dynamic properties and numerical simulations of a fractional phytoplankton-zooplankton ecological model

    Article • Networks & Heterogeneous Media, January 2025, American Institute of Mathematical Sciences (AIMS)

    Pro yulan wang

  5. Exploring dynamics and pattern formation of a fractional-order three-variable Oregonator model

    Article • Networks & Heterogeneous Media, January 2025, American Institute of Mathematical Sciences (AIMS)

    Pro yulan wang

  6. Numerical simulation and theoretical analysis of pattern dynamics for the fractional-in-space Schnakenberg model

    Article • Frontiers in Physics, September 2024, Frontiers

    Pro yulan wang

  7. Dynamic behavior of a two-mass nonlinear fractional-order vibration system

    Article • Frontiers in Physics, September 2024, Frontiers

    Pro yulan wang

  8. Chaotic Dynamic Behavior of a Fractional-Order Financial System with Constant Inelastic Demand

    Article • International Journal of Bifurcation and Chaos, July 2024, World Scientific Pub Co Pte Lt

    Pro yulan wang

  9. Dynamical Behavior of the Fractional BBMB Equation on Unbounded Domain

    Article • Fractal and Fractional, June 2024, MDPI AG

    Pro yulan wang

  10. Research on Pattern Dynamics Behavior of a Fractional Vegetation-Water Model in Arid Flat Environment

    Article • Fractal and Fractional, April 2024, MDPI AG

    Pro yulan wang

  11. Numerical Simulation of Soliton Propagation Behavior for the Fractional-in-Space NLSE with Variable Coefficients on Unbounded Domain

    Article • Fractal and Fractional, March 2024, MDPI AG

    Pro yulan wang

  12. Fourier spectral method for the fractional-in-space coupled Whitham–Broer–Kaup equations on unbounded domain

    Article • Open Physics, January 2024, De Gruyter

    Pro yulan wang

  13. An efficient numerical simulation of chaos dynamical behaviors for fractional-order Rössler chaotic systems with Caputo fractional derivative

    Article • Journal of Low Frequency Noise Vibration and Active Control, December 2023, SAGE Publications

    Pro yulan wang

  14. Fourier spectral method for solving fractional-in-space variable coefficient KdV-Burgers equation

    Article • Indian Journal of Physics, September 2023, Springer Science + Business Media

    Pro yulan wang

  15. Numerical simulation of fractal wave propagation of a multi-dimensional nonlinear fractional-in-space Schrödinger equation

    Article • Physica Scripta, March 2023, Institute of Physics Publishing

    Pro yulan wang

  16. Numerical Simulation of the Fractional-Order Lorenz Chaotic Systems with燙aputo Fractional Derivative

    Article • Computer Modeling in Engineering & Sciences, January 2023, Computers, Materials and Continua (Tech Science Press)

    Pro yulan wang

  17. High-Precision Numerical Methods for a Class of Fractional-Order Financial Systems with Constant Inelastic Demand

    Article • January 2023, Elsevier

    Pro yulan wang

  18. Novel patterns in a class of fractional reaction–diffusion models with the Riesz fractional derivative

    Article • Mathematics and Computers in Simulation, December 2022, Elsevier

    Pro yulan wang

  19. Solving Two-Sided Fractional Super-Diffusive Partial Differential Equations with Variable Coefficients in a Class of New Reproducing Kernel Spaces

    Article • Fractal and Fractional, September 2022, MDPI AG

    Pro yulan wang

  20. NUMERICAL SIMULATION OF THE FRACTIONAL-ORDER RÖSSLER CHAOTIC SYSTEMS WITH GRÜNWALD–LETNIKOV FRACTIONAL DERIVATIVE

    Article • Fractals, August 2022, World Scientific Pub Co Pte Lt

    Pro yulan wang

  21. A high-precision numerical method to simulating the fractional-order EI Niño chaotic systems with Riemann–Liouville fractional derivative

    Article • Journal of Low Frequency Noise Vibration and Active Control, August 2022, SAGE Publications

    Pro yulan wang

  22. Numerical Solutions of Variable-Coefficient Fractional-in-Space KdV Equation with the Caputo Fractional Derivative

    Article • Fractal and Fractional, April 2022, MDPI AG

    Pro yulan wang

  23. A high-precision numerical approach to solving space fractional Gray-Scott model

    Article • Applied Mathematics Letters, March 2022, Elsevier

    Pro yulan wang

  24. Novel Patterns in Fractional-in-Space Nonlinear Coupled FitzHugh–Nagumo Models with Riesz Fractional Derivative

    Article • Fractal and Fractional, February 2022, MDPI AG

    Pro yulan wang

  25. Numerical simulation for the fractional-in-space Ginzburg-Landau equation using Fourier spectral method

    Article • AIMS Mathematics, January 2022, American Institute of Mathematical Sciences (AIMS)

    Pro yulan wang

  26. Numerical simulation of the space fractional $ (3+1) $-dimensional Gray-Scott models with the Riesz fractional derivative

    Article • AIMS Mathematics, January 2022, American Institute of Mathematical Sciences (AIMS)

    Pro yulan wang

  27. Solving a class of variable order nonlinear fractional integral differential equations by using reproducing kernel function

    Article • AIMS Mathematics, January 2022, Tsinghua University Press

    Pro yulan wang

  28. Numerical simulation of a class of space fractional bistable systems based on the Fourier spectral method

    Article • Journal of Low Frequency Noise Vibration and Active Control, December 2021, SAGE Publications

    Pro yulan wang

  29. NUMERICAL SOLUTIONS OF SPACE FRACTIONAL VARIABLE-COEFFICIENT KdV–MODIFIED KdV EQUATION BY FOURIER SPECTRAL METHOD

    Article • Fractals, November 2021, World Scientific Pub Co Pte Lt

    Pro yulan wang

  30. Numerical solution of a class of space fractional nonlinear vibration equations with periodic boundary conditions by the Fourier spectral method

    Article • Journal of Low Frequency Noise Vibration and Active Control, August 2021, SAGE Publications

    Pro yulan wang

  31. The piecewise reproducing kernel method for the time variable fractional order advection-reaction-diffusion equations

    Article • Thermal Science, January 2021, National Library of Serbia

    Pro yulan wang

  32. The space spectral interpolation collocation method for reaction-diffusion systems

    Article • Thermal Science, January 2021, National Library of Serbia

    Pro yulan wang

  33. Numerical simulation for a class of predator–prey system with homogeneous Neumann boundary condition based on a sinc function interpolation method

    Article • Boundary Value Problems, June 2020, Springer Science + Business Media

    Pro yulan wang

  34. Numerical Solution of a Class of Time-Fractional Order Diffusion Equations in a New Reproducing Kernel Space

    Article • Journal of Function Spaces, April 2020, Hindawi Publishing Corporation

    Pro yulan wang

  35. Numerical Solution of a Class of Predator-Prey Systems with Complex Dynamics Characters Based on a Sinc Function Interpolation Collocation Method

    Article • Complexity, March 2020, Hindawi Publishing Corporation

    Pro yulan wang

  36. Using Reproducing Kernel for Solving a Class of Fractional Order Integral Differential Equations

    Article • Advances in Mathematical Physics, March 2020, Hindawi Publishing Corporation

    Pro yulan wang

  37. Numerical solution of a coupled reaction-diffusion model using barycentric interpolation collocation method

    Article • Thermal Science, January 2020, National Library of Serbia

    Pro yulan wang

  38. The reproducing kernel for the reaction-diffusion model with a time variable fractional order

    Article • Thermal Science, January 2020, National Library of Serbia

    Pro yulan wang

  39. Convergence to a -stable Lévy motion for chaotic billiards with several cusps at flat points

    Article • Nonlinearity, December 2019, Institute of Physics Publishing

    Pro yulan wang

  40. Some Novel Complex Dynamic Behaviors of a Class of Four-Dimensional Chaotic or Hyperchaotic Systems Based on a Meshless Collocation Method

    Article • Complexity, October 2019, Hindawi Publishing Corporation

    Pro yulan wang

  41. Numerical Simulation of a Class of Three-Dimensional Kolmogorov Model with Chaotic Dynamic Behavior by Using Barycentric Interpolation Collocation Method

    Article • Complexity, April 2019, Hindawi Publishing Corporation

    Pro yulan wang, Wei Zhang

  42. Numerical Simulation of the Lorenz-Type Chaotic System Using Barycentric Lagrange Interpolation Collocation Method

    Article • Advances in Mathematical Physics, April 2019, Hindawi Publishing Corporation

    Pro yulan wang, Wei Zhang

  43. A novel method for numerical simulation of sand motion model in beach formation based on fractional Taylor–Jumarie series expansion and piecewise interpolation technique

    Article • Applied Mathematics and Computation, April 2019, Elsevier

    Pro yulan wang

  44. Numerical Simulation of a Class of Hyperchaotic System Using Barycentric Lagrange Interpolation Collocation Method

    Article • Complexity, February 2019, Hindawi Publishing Corporation

    Pro yulan wang, Wei Zhang

  45. The barycentric interpolation collocation method for a class of nonlinear vibration systems

    Article • Journal of Low Frequency Noise Vibration and Active Control, January 2019, SAGE Publications

    Pro yulan wang

  46. Numerical Solution of a Class of Nonlinear Partial Differential Equations by Using Barycentric Interpolation Collocation Method

    Article • Mathematical Problems in Engineering, December 2018, Hindawi Publishing Corporation

    Pro yulan wang, Wei Zhang

  47. Numerical solution for a class of space-time fractional equation by the piecewise reproducing kernel method

    Article • International Journal of Computer Mathematics, November 2018, Taylor & Francis

    Pro yulan wang

  48. Numerical solution of integro-differential equations of high-order Fredholm by the simplified reproducing kernel method

    Article • International Journal of Computer Mathematics, April 2018, Taylor & Francis

    Pro yulan wang

  49. A modified reproducing kernel method for solving Burgers’ equation arising from diffusive waves in fluid dynamics

    Article • Applied Mathematics and Computation, December 2017, Elsevier

    Pro yulan wang

  50. Barycentric interpolation collocation method for solving the coupled viscous Burgers' equations

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

    Pro yulan wang

  51. Using reproducing kernel for solving a class of time-fractional telegraph equation with initial value conditions

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

    Pro yulan wang

  52. Reproducing kernel method for numerical simulation of downhole temperature distribution

    Article • Applied Mathematics and Computation, March 2017, Elsevier

    Pro yulan wang

  53. Using the iterative reproducing kernel method for solving a class of nonlinear fractional differential equations

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

    Pro yulan wang

  54. A modified reproducing kernel method for a time-fractional telegraph equation

    Article • Thermal Science, January 2017, National Library of Serbia

    Pro yulan wang

  55. Numerical method for singularly perturbed delay parabolic partial differential equations

    Article • Thermal Science, January 2017, National Library of Serbia

    Pro yulan wang

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

    Article • Applied Mathematics and Computation, August 2015, Elsevier

    Pro yulan wang

  57. Numerical Simulation Characteristics of Logging Response in Water Injection Well by Reproducing Kernel Method

    Article • Mathematical Problems in Engineering, January 2015, Hindawi Publishing Corporation

    Pro yulan wang

  58. Solving a Class of Singularly Perturbed Partial Differential Equation by Using the Perturbation Method and Reproducing Kernel Method

    Article • Abstract and Applied Analysis, January 2014, Wiley

    Pro yulan wang

  59. Using an Effective Numerical Method for Solving a Class of Lane-Emden Equations

    Article • Abstract and Applied Analysis, January 2014, Wiley

    Pro yulan wang

  60. Using reproducing kernel for solving a class of fractional partial differential equation with non-classical conditions

    Article • Applied Mathematics and Computation, February 2013, Elsevier

    Pro yulan wang

  61. Solving a Class of Singular Fifth-Order Boundary Value Problems Using Reproducing Kernel Hilbert Space Method

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

    Pro yulan wang

  62. The Solution of a Class of Singularly Perturbed Two‐Point Boundary Value Problems by the Iterative Reproducing Kernel Method

    Article • Abstract and Applied Analysis, January 2012, Wiley

    Pro yulan wang

  63. The Solution of a Class of Third‐Order Boundary Value Problems by the Reproducing Kernel Method

    Article • Abstract and Applied Analysis, January 2012, Wiley

    Pro yulan wang

  64. An efficient computational method for a class of singularly perturbed delay parabolic partial differential equation

    Article • International Journal of Computer Mathematics, November 2011, Taylor & Francis

    Pro yulan wang

  65. A new method for solving singular fourth-order boundary value problems with mixed boundary conditions

    Article • Applied Mathematics and Computation, May 2011, Elsevier

    Pro yulan wang

  66. Using reproducing kernel for solving a class of singularly perturbed problems

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

    Pro yulan wang

  67. A new method for solving a class of mixed boundary value problems with singular coefficient

    Article • Applied Mathematics and Computation, November 2010, Elsevier

    Pro yulan wang

  68. Efficient solution of a class of partial integro-differential equation in reproducing kernel space

    Article • International Journal of Computer Mathematics, August 2010, Taylor & Francis

    Pro yulan wang

  69. Using reproducing kernel for solving a class of singular weakly nonlinear boundary value problems

    Article • International Journal of Computer Mathematics, February 2010, Taylor & Francis

    Pro yulan wang

  70. New algorithm for second-order boundary value problems of integro-differential equation

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

    Pro yulan wang

  71. Using reproducing kernel for solving a class of partial differential equation with variable-coefficients

    Article • Applied Mathematics and Mechanics, January 2008, Springer Science + Business Media

    Pro yulan wang

  72. Improved Estimates for Correlations in Billiards

    Article • Communications in Mathematical Physics, October 2007, Springer Science + Business Media

    Pro yulan wang