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• Solving Diffusion Problems by a Random Feature Method

  Zijian Mei, Hui Xie, Heng Yong, Zhouwang Yang, Jingrun Chen

  2025-06-06

  5521 518 Pages:439-463

• A Superconvergent Nonconforming Mixed FEM for Multi-Term Time-Fractional Mixed Diffusion and Diffusion-Wave Equations with Variable Coefficients

  Huijun Fan, Yanmin Zhao, Fenling Wang, Yanhua Shi, Yifa Tang

  2020-11-24

  45664 4609 Pages:63-92

• Streamline Diffusion Virtual Element Method for Convection-Dominated Diffusion Problems

  Yuxia Li, Cong Xie, Xinglong Feng

  2020-05-04

  43084 4709 Pages:158-180

• A Fast Cascadic Multigrid Method for Exponential Compact FD Discretization of Singularly Perturbed Convection-Diffusion Equations

  Kejia Pan, Huaqing Wang, Pinxia Wu, Jinxuan Wang, Jiajia Xie

  2025-11-10

  7512 152 Pages:301-325

• Compound PDE-Based Additive Denoising Solution Combining an Improved Anisotropic Diffusion Model to a 2D Gaussian Filter Kernel

  Tudor Barbu & C. Moroşanu

  2019-01-07

  40358 5072 Pages:1-12

• Free Boundary Determination in Nonlinear Diffusion

  M. S. Hussein, D. Lesnic & M. Ivanchov

  2018-02-10

  37156 4392 Pages:295-310

• Laplace-fPINNs: Laplace-Based Fractional Physics-Informed Neural Networks for Solving Forward and Inverse Problems of a Time Fractional Equation

  Xiong-Bin Yan, Zhi-Qin John Xu, Zheng Ma

  2024-09-27

  16048 1504 Pages:657-674

• New Parallel Algorithm for Convection-Dominated Diffusion Equation

  Guanyu Xue & Hui Feng

  2018-09-17

  43186 3227 Pages:261-279

• Convolution Quadrature Methods for Time-Space Fractional Nonlinear Diffusion-Wave Equations

  Jianfei Huang, Sadia Arshad, Yandong Jiao & YifaTang

  2019-06-03

  42170 2995 Pages:538-557

• Multilevel Circulant Preconditioner for High-Dimensional Fractional Diffusion Equations

  Siu-Long Lei, Xu Chen & Xinhe Zhang

  2018-02-09

  37767 3288 Pages:109-130

• Mathematical Analysis of Singularities in the Diffusion Model Under the Submanifold Assumption

  Yubin Lu, Zhongjian Wang, Guillaume Bal

  2025-06-18

  7167 620 Pages:669-700

• Numerical Solution of the Time-Fractional Sub-Diffusion Equation on an Unbounded Domain in Two-Dimensional Space

  Hongwei Li, Xiaonan Wu & Jiwei Zhang

  2018-03-19

  37795 3227 Pages:439-454

• A Fast Compact Exponential Time Differencing Runge-Kutta Method for Time-Dependent Advection-Diffusion-Reaction Equations

  Xueyun Xie & Liyong Zhu

  2019-06-03

  40859 2957 Pages:522-537

• A Generalized Quasi-Boundary Value Method for an Inverse Source Problem in a Distributed Order Time-Fractional Diffusion Equation

  Wenjie Wu, Ting Wei

  2025-06-18

  7047 574 Pages:835-866

• Restrictive Preconditioning for Convection-Diffusion Distributed Control Problems

  Wei Feng, Zeng-Qi Wang, Ruo-Bing Zhong, Galina V. Muratova

  2022-02-21

  49140 3532 Pages:233-246

• A Weak Galerkin Finite Element Method for Multi-Term Time-Fractional Diffusion Equations

  Jun Zhou, Da Xu & Hongbin Chen

  2018-09-17

  40597 5101 Pages:181-193

• JASMIN-Based Two-Dimensional Adaptive Combined Preconditioner for Radiation Diffusion Equations in Inertial Fusion Research

  Xiaoqiang Yue, Xiaowen Xu & Shi Shu

  2018-03-19

  37475 3184 Pages:495-507

• Dynamics of an Innovation Diffusion Model with Time Delay

  Rakesh Kumar, Anuj K. Sharma & Kulbhushan Agnihotri

  2018-03-19

  37735 3241 Pages:455-481

• Finite Volume Method for Pricing European and American Options under Jump-Diffusion Models

  Xiao-Ting Gan, Jun-Feng Yin & Yun-Xiang Guo

  2018-03-19

  37532 3260 Pages:227-247

• Preconditioned CG Methods for a Variable-Coefficient Nonlocal Diffusion Model

  Yu-Hong Ran, Min Yan

  2022-02-21

  44421 3155 Pages:421-434

• Less Emphasis on Hard Regions: Curriculum Learning of PINNs for Singularly Perturbed Convection-Diffusion-Reaction Problems

  Yufeng Wang, Cong Xu, Min Yang, Jin Zhang

  2024-01-02

  30023 3064 Pages:104-123

• Identifying the Order and a Space Source Term in a Time Fractional Diffusion-Wave Equation

  Ting Wei, Jianming Xu, Xi Yue

  2025-10-23

  4526 134 Pages:168-203

• Tikhonov Regularisation Method for Simultaneous Inversion of the Source Term and Initial Data in a Time-Fractional Diffusion Equation

  Zhousheng Ruan, Jerry Zhijian Yang & Xiliang Lu

  2018-02-09

  35844 3261 Pages:273-300

• A New Multilevel Homotopic Adaptive Finite Element Algorithm for Convection-Dominated Diffusion-Reaction Problems

  Jie Zhang, Guozhu Yu, Xiaoping Xie

  2025-11-14

  7439 122 Pages:326-348

• Uniformly Stable Explicitly Solvable Finite Difference Method for Fractional Diffusion Equations

  Hongxing Rui & Jian Huang

  2018-02-09

  37632 4824 Pages:29-47

• Efficient Numerical Solution of the Multi-Term Time Fractional Diffusion-Wave Equation

  Jincheng Ren & Zhi-Zhong Sun

  2018-02-09

  38485 4866 Pages:1-28

• Correlation Between Mesh Geometry and Stiffness Matrix Conditioning for Nonlocal Diffusion Models

  Jibum Kim

  2018-02-09

  38246 4335 Pages:312-328