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A Local Discontinuous Galerkin Method for Time-Fractional Burgers Equations
Wenping Yuan, Yanping Chen, Yunqing Huang
2020-08-15
DOI:10.4208/eajam.300919.240520
50626
3233
pp. 818-837
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
DOI:10.4208/eajam.031116.080317a
37908
3260
pp. 439-454
A Fast Temporal Second-Order Compact ADI Scheme for Time Fractional Mixed Diffusion-Wave Equations
Rui-Lian Du, Zhi-Zhong Sun
2021-08-03
DOI:10.4208/eajam.271220.090121
46755
3276
pp. 647-673
Numerical Study of Time-Fractional Telegraph Equations of Transmission Line Modeling
Wang Kong, Zhongyi Huang
2022-08-17
DOI:10.4208/eajam.070921.150222
302579
3535
pp. 821-847
$L2-1_\sigma$ Finite Element Method for Time-Fractional Diffusion Problems with Discontinuous Coefficients
Yanping Chen, Xuejiao Tan, Yunqing Huang
2023-10-23
DOI:10.4208/eajam.2022-178.101022
28346
2661
pp. 813-834
Identifying the Order and a Space Source Term in a Time Fractional Diffusion-Wave Equation
Ting Wei, Jianming Xu, Xi Yue
2025-10-23
DOI:10.4208/eajam.2024-198.060425
4757
230
pp. 168-203
Optimal Error Estimates in Numerical Solution of Time Fractional Schrödinger Equations on Unbounded Domains
Zhi-Zhong Sun, Jiwei Zhang, Zhimin Zhang
2021-09-02
DOI:10.4208/eajam.190218.150718
43309
3488
pp. 634-655
A Weak Galerkin Finite Element Method for Multi-Term Time-Fractional Diffusion Equations
Jun Zhou, Da Xu, Hongbin Chen
2018-09-17
DOI:10.4208/eajam.260617.151117a
40745
5183
pp. 181-193
Lubich Second-Order Methods for Distributed-Order Time-Fractional Differential Equations with Smooth Solutions
Rui Du, Zhao-Peng Hao, Zhi-Zhong Sun
2018-02-09
DOI:10.4208/eajam.020615.030216a
37574
3302
pp. 131-151
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
DOI:10.4208/eajam.310315.030715a
35940
3297
pp. 273-300
Efficient Numerical Solution of the Multi-Term Time Fractional Diffusion-Wave Equation
Jincheng Ren, Zhi-Zhong Sun
2018-02-09
DOI:10.4208/eajam.080714.031114a
38602
4965
pp. 1-28
Efficient and Stable Numerical Methods for Multi-Term Time Fractional Sub-Diffusion Equations
Jincheng Ren, Zhi-Zhong Sun
2018-02-09
DOI:10.4208/eajam.181113.280514a
38253
4196
pp. 242-266
High Order Difference Schemes for a Time Fractional Differential Equation with Neumann Boundary Conditions
Seakweng Vong, Zhibo Wang
2018-02-09
DOI:10.4208/eajam.281013.300414a
38826
4549
pp. 222-241
High Accuracy Analysis of an Anisotropic Nonconforming Finite Element Method for Two-Dimensional Time Fractional Wave Equation
Fenling Wang, Yanmin Zhao, Zhengguang Shi, Yanhua Shi, Yifa Tang
2019-10-09
DOI:10.4208/eajam.260718.060119
40968
3126
pp. 797-817
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
DOI:10.4208/eajam.180420.200720
45788
4688
pp. 63-92
A Linearised Three-Point Combined Compact Difference Method with Weighted Approximation for Nonlinear Time Fractional Klein-Gordon Equations
Chunhua Zhang, Haiwei Sun
2021-05-26
DOI:10.4208/eajam.271120.310321
45945
3324
pp. 604-617
A Support Vector Machine Method for Two Time-Scale Variable-Order Time-Fractional Diffusion Equations
Zhiwei Yang, Huan Liu, Xu Guo, Hong Wang
2021-10-25
DOI:10.4208/eajam.310121.120821
53451
4483
pp. 145-162
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
DOI:10.4208/eajam.2024-058.310824
7277
627
pp. 835-866
A Second-Order Accurate Implicit Difference Scheme for Time Fractional Reaction-Diffusion Equation with Variable Coefficients and Time Drift Term
Yong-Liang Zhao, Pei-Yong Zhu, Xian-Ming Gu, Xi-Le Zhao
2019-10-09
DOI:10.4208/eajam.200618.250319
41265
3286
pp. 723-754
A Fractional Tikhonov Regularisation Method for Finding Source Terms in a Time-Fractional Radial Heat Equation
Shuping Yang, Xiangtuan Xiong
2019-03-26
DOI:10.4208/eajam.090918.030119
39984
3099
pp. 386-408
A Numerical Method for the Time Fractional Model of Generalised Second Grade Fluid Through Porous Media
Mohammad Tanzil Hasan, Yumin Lin
2021-09-02
DOI:10.4208/eajam.0704218.070518
41042
3348
pp. 809-833
A Space-Time Petrov-Galerkin Spectral Method for Time Fractional Fokker-Planck Equation with Nonsmooth Solution
Wei Zeng, Aiguo Xiao, Weiping Bu, Junjie Wang, Shucun Li
2020-05-04
DOI:10.4208/eajam.260119.140319
42078
4504
pp. 89-105
An Alternative Finite Difference Stability Analysis for a Multiterm Time-Fractional Initial-Boundary Value Problem
Xiaohui Liu, Martin Stynes
2020-06-12
DOI:10.4208/eajam.010120.090320
44556
3430
pp. 427-436
Convergence of Finite Difference Method in Positive Time for Multi-Term Time Fractional Differential Equations
Haili Qiao, Aijie Cheng
2020-08-15
DOI:10.4208/eajam.040220.020520
49122
3214
pp. 774-785
A Compact Difference Scheme for Time-Fractional Dirichlet Biharmonic Equation on Temporal Graded Meshes
Mingrong Cui
2020-11-24
DOI:10.4208/eajam.270520.210920
45453
4374
pp. 164-180
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
DOI:10.4208/eajam.2023-197.171223
16221
1596
pp. 657-674
Compact Difference Scheme for Time-Fractional Fourth-Order Equation with First Dirichlet Boundary Condition
Mingrong Cui
2019-01-07
DOI:10.4208/eajam.260318.220618
41753
5418
pp. 45-66
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