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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 69, 2016 - Issue 3
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Original Articles

A block-centered finite-difference method for the time-fractional diffusion equation on nonuniform grids

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Pages 217-233 | Received 03 Jun 2015, Accepted 20 Jul 2015, Published online: 21 Jan 2016

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Xuan Zhao, Xiaoli Li & Ziyan Li. (2022) Error estimate of a finite difference method for the nonlinear distributed-ordered diffusion equation on staggered grids. International Journal of Computer Mathematics 99:9, pages 1719-1735.
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Articles from other publishers (16)

Xuan Zhao & Ziyan Li. (2023) Error analyses on block‐centered finite difference schemes for distributed‐order non‐Fickian flow. Numerical Methods for Partial Differential Equations.
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Li Ma, Hongfei Fu, Bingyin Zhang & Shusen Xie. (2023) L1-robust analysis of a fourth-order block-centered finite difference method for two-dimensional variable-coefficient time-fractional reaction-diffusion equations. Computers & Mathematics with Applications 148, pages 211-227.
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Yinlong Jing & Can Li. (2023) Block-centered finite difference method for a tempered subdiffusion model with time-dependent coefficients. Computers & Mathematics with Applications 145, pages 202-223.
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Taixiu Zhang, Zhe Yin & Ailing Zhu. (2023) Block-Centered Finite-Difference Methods for Time-Fractional Fourth-Order Parabolic Equations. Fractal and Fractional 7:6, pages 471.
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. (2022) Numerical Solution of Diffusion Equation with Caputo Time Fractional Derivatives Using Finite-Difference Method with Neumann and Robin Boundary Conditions. Australian Journal of Engineering and Innovative Technology, pages 95-108.
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Yuanyang Qiao, Lingzhi Qian & Xinlong Feng. (2021) Fast numerical approximation for the space-fractional semilinear parabolic equations on surfaces. Engineering with Computers 38:S3, pages 1939-1953.
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. (2022) Numerical Solution of Diffusion Equation with Caputo Time Fractional Derivatives Using Finite-Difference Method with Neumann and Robin Boundary Conditions. International Journal of Material and Mathematical Sciences, pages 1-14.
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Yuanyang Qiao, Xinlong Feng & Yinnian He. (2021) A Meshless Local Radial Point Collocation Method for Simulating the Time-Fractional Convection-Diffusion Equations on Surfaces. International Journal of Computational Methods 18:05, pages 2150006.
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Jiali Zhang, Jizu Huang, Kun Wang & Xin Wang. (2020) Error estimate on the tanh meshes for the time fractional diffusion equation. Numerical Methods for Partial Differential Equations 37:3, pages 2046-2066.
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Mohammad Tamsir, Neeraj Dhiman, Deependra Nigam & Anand Chauhan. (2021) Approximation of Caputo time-fractional diffusion equation using redefined cubic exponential B-spline collocation technique. AIMS Mathematics 6:4, pages 3805-3820.
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Shuying Zhai, Zhifeng Weng, Xinlong Feng & Jinyun Yuan. (2018) Investigations on several high-order ADI methods for time-space fractional diffusion equation. Numerical Algorithms 82:1, pages 69-106.
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Yuanyang Qiao, Jianping Zhao & Xinlong Feng. (2019) A compact integrated RBF method for time fractional convection–diffusion–reaction equations. Computers & Mathematics with Applications 77:9, pages 2263-2278.
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Yuanyang Qiao, Shuying Zhai & Xinlong Feng. (2017) RBF-FD method for the high dimensional time fractional convection-diffusion equation. International Communications in Heat and Mass Transfer 89, pages 230-240.
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X. G. Zhu, Y. F. Nie & W. W. Zhang. (2017) An efficient differential quadrature method for fractional advection–diffusion equation. Nonlinear Dynamics 90:3, pages 1807-1827.
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Brian D. Plourde, Lauren J. Vallez, Biyuan Sun, Brittany B. Nelson-Cheeseman, John P. Abraham & Cezar S. Staniloae. (2016) Alterations of Blood Flow Through Arteries Following Atherectomy and the Impact on Pressure Variation and Velocity. Cardiovascular Engineering and Technology 7:3, pages 280-289.
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