Search Results

• Anisotropic $EQ_1^{rot}$ Finite Element Approximation for a Multi-Term Time-Fractional Mixed Sub-Diffusion and Diffusion-Wave Equation

  Huijun Fan, Yanmin Zhao, Fenling Wang, Yanhua Shi, Fawang Liu

  2023-04-25

  DOI:10.4208/jcm.2110-m2021-0180

  31739 3030 pp. 458-481

• A Singular Parameterized Finite Volume Method for the Advection-Diffusion Equation in Irregular Geometries

  Chang Yang, Meng Wu

  2019-04-29

  DOI:10.4208/jcm.1807-m2017-0029

  43791 3160 pp. 579-608

• First-Order and Second-Order, Chaos-Free, Finite Difference Schemes for Fisher Equation

  Geng Sun, Hua-Mo Wu, Li-Er Wang

  2001-10-02

  34364 3673 pp. 519-530

• The Global Dufort-Frankel Difference Approximation for Nonlinear Reaction-Diffusion Equations

  Bainian Lu, Guohua Wan, Bolin Guo

  1998-06-02

  32492 3509 pp. 275-288

• Fractional Diffusion Equations with Internal Degrees of Freedom

  Luis Vázquez

  2003-08-02

  32400 3560 pp. 491-494

• Analysis of a Multi-Term Variable-Order Time-Fractional Diffusion Equation and Its Galerkin Finite Element Approximation

  Huan Liu, Xiangcheng Zheng, Hongfei Fu

  2022-10-06

  DOI:10.4208/jcm.2102-m2020-0211

  40760 3086 pp. 814-834

• A Fast Stochastic Galerkin Method for a Constrained Optimal Control Problem Governed by a Random Fractional Diffusion Equation

  Ning Du, Wanfang Shen

  2019-02-12

  DOI:10.4208/jcm.1612-m2016-0696

  39730 2849 pp. 259-275

• Approximating the Stationary Bellman Equation by Hierarchical Tensor Products

  Mathias Oster, Leon Sallandt, Reinhold Schneider

  2024-04-08

  DOI:10.4208/jcm.2112-m2021-0084

  19042 1969 pp. 638-661

• Rothe Method and Numerical Analysis for a Sub-Diffusion Equation with Clarke Subdifferential

  Yujie Li, Chuanju Xu

  2025-06-18

  DOI:10.4208/jcm.2504-m2024-0235

  583 55 pp. 670–699

• Inverse conductivity Problem with Internal Data

  Faouzi Triki, Tao Yin

  2023-04-25

  DOI:10.4208/jcm.2111-m2021-0093

  32696 3030 pp. 482-500

• Numerical Analysis for Stochastic Time-Space Fractional Diffusion Equation Driven by Fractional Gaussian Noise

  Daxin Nie, Weihua Deng

  2024-11-13

  DOI:10.4208/jcm.2305-m2023-0014

  13010 1257 pp. 1502-1525

• Exponential Tikhonov Regularization Method for Solving an Inverse Source Problem of Time Fractional Diffusion Equation

  Zewen Wang, Shufang Qiu, Shuang Yu, Bin Wu, Wen Zhang

  2022-11-15

  DOI:10.4208/jcm.2107-m2020-0133

  303681 3250 pp. 173-190

• Efficient Numerical Algorithms for Three-Dimensional Fractional Partial Differential Equations

  Weihua Deng, Minghua Chen

  2018-08-22

  DOI:10.4208/jcm.1401-m3893

  37568 3572 pp. 371-391

• High Resolution Schemes for Conservation Laws and Convection-Diffusion Equations with Varying Time and Space Grids

  HZ Tang, G Warnecke

  2006-04-02

  32057 3415 pp. 121-140

• A New Direct Discontinuous Galerkin Method with Symmetric Structure for Nonlinear Diffusion Equations

  Chad Vidden, Jue Yan

  2021-07-01

  DOI:10.4208/jcm.1307-m4273

  37746 3865 pp. 638-662

• Compact Finite Difference Scheme for Some Sobolev Type Equations with Dirichlet Boundary Condition

  Lavanya V Salian, Rathan Samala, Rakesh Kumar

  2025-11-19

  DOI:10.4208/jcm.2509-m2024-0296

  215 155

• Numerical Approximation of the Smoluchowski Equation Using Radial Basis Functions

  Christiane Helzel, Maximilian Schneiders

  2020-02-06

  DOI:10.4208/jcm.1908-m2018-0211

  41166 4447 pp. 176-194

• A Variational Analysis for the Moving Finite Element Method for Gradient Flows

  Xianmin Xu

  2022-11-15

  DOI:10.4208/jcm.2107-m2020-0227

  300821 3211 pp. 191-210

• Adaptive Virtual Element Method for Convection Dominated Diffusion Equations

  Qiming Wang, Zhaojie Zhou

  2024-11-18

  DOI:10.4208/jcm.2309-m2021-0366

  11283 1390 pp. 174-202

• Error Estimate on a Fully Discrete Local Discontinuous Galerkin Method for Linear Convection-Diffusion Problem

  Haijin Wang, Qiang Zhang

  2018-08-22

  DOI:10.4208/jcm.1212-m4174

  36694 3694 pp. 283-307

• Error Estimates of the Finite Element Method with Weighted Basis Functions for a Singularly Perturbed Convection-Diffusion Equation

  Xianggui Li, Xijun Yu, Guangnan Chen

  2018-08-22

  DOI:10.4208/jcm.1009-m3113

  33739 3819 pp. 227-242

• Variational Discretization for Optimal Control Governed by Convection Dominated Diffusion Equations

  Michael Hinze, Ningning Yan, Zhaojie Zhou

  2018-08-07

  33679 3706 pp. 237-253

• A Uniform First-Order Method for the Discrete Ordinate Transport Equation with Interfaces in X,Y-Geometry

  Min Tang

  2021-07-01

  DOI:10.4208/jcm.2009.09-m2894

  35595 3772 pp. 764-786

• Optimal Quadratic Nitsche Extended Finite Element Method for Interface Problem of Diffusion Equation

  Fei Wang, Shuo Zhang

  2018-09-17

  DOI:10.4208/jcm.1703-m2015-0340

  39097 2917 pp. 693-717

• Compact Difference Schemes for the Diffusion and Schrödinger Equations Approximation, Stability, Convergence, Effectiveness, Monotony

  Vladimir A. Gordin, Eugeny A. Tsymbalov

  2018-08-22

  DOI:10.4208/jcm.1403-CR14

  36702 3580 pp. 348-370

• Multigrid and MGR[$v$] Methods for Diffusion Equations

  Seymour V. Parter & David Kamowitz

  2021-07-01

  34103 3491 pp. 373-384

• Numerical Solution of the Reaction-Diffusion Equation

  Ben-Yu Guo

  2021-07-01

  34395 3330 pp. 298-314