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Advances in Applied Mathematics and Mechanics
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  • A Discrete Collocation Technique using the Thin Plate Splines for Solving a Certain Class of Integro-Differential Equations Arising in Biology Models

    Pouria Assari, Fatemeh Asadi-Mehregan, Mehdi Dehghan
    2025-11-22
    169 2
  • A Comparative Study of Finite Element and Finite Difference Methods for Two-Dimensional Space-Fractional Advection-Dispersion Equation

    Guofei Pang, Wen Chen, Kam Yim Sze
    2018-05-05
    43675 4554 Pages:166-186
  • Quadrotor Convergence Trajectory Optimization Model Based on Minimum Energy Consumption

    Biao Zhang, Peng Xiao, Hongliang Liu, Mingyue Ma, Qian Wang, Zhi Mao
    2018-09-17
    45497 3143 Pages:673-689
  • Fully Finite Element Adaptive AMG Method for Time-Space Caputo-Riesz Fractional Diffusion Equations

    X. Q. Yue, W. P. Bu, S. Shu, M. H. Liu, S. Wang
    2018-09-17
    45391 3175 Pages:1103-1125
  • An Adaptive Time and Space Discretization Approach for Simulating Unsteady Navier-Stokes Flows

    Biao Peng, Chunhua Zhou, Junqiang Ai
    2019-01-11
    44173 3108 Pages:406-427
  • A Hybrided Trapezoidal-Difference Scheme for Nonlinear Time-Fractional Fourth-Order Advection-Dispersion Equation Based on Chebyshev Spectral Collocation Method

    Shichao Yi, Hongguang Sun
    2019-01-04
    46429 4416 Pages:197-215
  • Numerical Investigation into the Air Flow Distributions of the Air Conditioning System in the Modular Data Center

    Hao Dong, Ziqiang Qin, Shicheng Liu, Yao Li, Yingying Shen, Haibo Wang, Yitong Zong, Xiaojun Wu, Haiqing Si
    2019-01-04
    46663 4840 Pages:91-107
  • A Linear Doubly Stabilized Crank-Nicolson Scheme for the Allen–Cahn Equation with a General Mobility

    Dianming Hou, Lili Ju, Zhonghua Qiao
    2024-07-22
    33439 2463 Pages:1009-1038
  • Error Analysis of Fully Discrete Data Assimilation Algorithms for Reaction-Diffusion Equation

    Wansheng Wang, Chengyu Jin, Yi Huang
    2025-03-14
    11037 784 Pages:840-866
  • Fully Discrete Schemes with First- and Second-Order Temporal Accuracy for the Incompressible Magnetohydrodynamic Flow Based on the Generalized Scalar Auxiliary Variable Approach

    Huimin Ma, Pengzhan Huang
    2025-10-14
    4582 264 Pages:109-113
  • Radially Symmetrical Problems for Compressible Fluids with a High-Resolution Boundary Condition

    Zijin Zhu, Xiaoyan Hu, Guoxi Ni
    2022-12-13
    39824 3065 Pages:428-449
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