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International Journal of Computer Mathematics Volume 92, 2015 - Issue 10
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SECTION B

An alternating direction implicit fractional trapezoidal rule type difference scheme for the two-dimensional fractional evolution equation

Hongbin ChenSchool of Mathematics and Statistics, Central South University, Changsha410083, Hunan, China;College of Science, Central South University of Forestry and Technology, Changsha410004, Hunan, ChinaCorrespondence[email protected]
,
Da XuCollege of Mathematics and Computer Science, Hunan Normal University, Changsha410081, Hunan, China
&
Yulong PengCollege of Science, Central South University of Forestry and Technology, Changsha410004, Hunan, China
Pages 2178-2197 | Received 08 Oct 2013, Accepted 20 Sep 2014, Published online: 25 Nov 2014

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Mingzhu Li, Qiang Ma & Xiaohua Ding. (2018) A compact ADI Crank–Nicolson difference scheme for the two-dimensional time fractional subdiffusion equation. International Journal of Computer Mathematics 95:12, pages 2525-2538.
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Sadia Arshad, Weiping Bu, Jianfei Huang, Yifa Tang & Yue Zhao. (2018) Finite difference method for time–space linear and nonlinear fractional diffusion equations. International Journal of Computer Mathematics 95:1, pages 202-217.
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Hongbin Chen, Siqing Gan, Da Xu & Qiwen Liu. (2016) A second-order BDF compact difference scheme for fractional-order Volterra equation. International Journal of Computer Mathematics 93:7, pages 1140-1154.
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Jun Zhou & Da Xu. (2020) Alternating direction implicit difference scheme for the multi-term time-fractional integro-differential equation with a weakly singular kernel. Computers & Mathematics with Applications 79:2, pages 244-255.
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Leijie Qiao, Da Xu & Zhibo Wang. (2019) An ADI difference scheme based on fractional trapezoidal rule for fractional integro-differential equation with a weakly singular kernel. Applied Mathematics and Computation 354, pages 103-114.
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Hongbin Chen, Da Xu, Jiliang Cao & Jun Zhou. (2017) A backward Euler alternating direction implicit difference scheme for the three‐dimensional fractional evolution equation. Numerical Methods for Partial Differential Equations 34:3, pages 938-958.
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Hongbin Chen, Da Xu & Yulong Peng. (2017) A second order BDF alternating direction implicit difference scheme for the two-dimensional fractional evolution equation. Applied Mathematical Modelling 41, pages 54-67.
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Jingtang Ma & Zhiqiang Zhou. (2016) Moving Finite Element Methods for a System of Semi-Linear Fractional Diffusion Equations. Advances in Applied Mathematics and Mechanics 8:6, pages 911-931.
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