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International Journal of Computer Mathematics Volume 94, 2017 - Issue 6
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Original Articles

A posteriori error analysis for a fractional differential equation

Zhongdi CenInstitute of Mathematics, Zhejiang Wanli University, Ningbo, Zhejiang, ChinaCorrespondence[email protected]
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,
Anbo LeInstitute of Mathematics, Zhejiang Wanli University, Ningbo, Zhejiang, ChinaView further author information
&
Aimin XuInstitute of Mathematics, Zhejiang Wanli University, Ningbo, Zhejiang, ChinaView further author information
Pages 1185-1195 | Received 24 Sep 2015, Accepted 05 Apr 2016, Published online: 20 May 2016

Citations (13)

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Li-Bin Liu & Yanping Chen. (2022) A posteriori error estimation and adaptive strategy for a nonlinear fractional differential equation. International Journal of Computer Mathematics 99:2, pages 240-246.
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Articles from other publishers (12)

Kaido Lätt & Arvet Pedas. (2024) Numerical schemes for a class of singular fractional integro-differential equations. Applied Numerical Mathematics 200, pages 331-343.
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Hongmei Zhang, Mengchen Zhang, Fawang Liu & Ming Shen. (2024) Review of the Fractional Black-Scholes Equations and Their Solution Techniques. Fractal and Fractional 8:2, pages 101.
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Hanna Britt Soots, Kaido Lätt & Arvet Pedas. (2023) COLLOCATION BASED APPROXIMATIONS FOR A CLASS OF FRACTIONAL BOUNDARY VALUE PROBLEMS. Mathematical Modelling and Analysis 28:2, pages 218-236.
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Tao Yang, Li-Bin Liu, Xiaobing Bao & Yong Zhang. (2022) An Optimal Adaptive Grid Method Based on L1 Scheme for a Nonlinear Caputo Fractional Differential Equation. Fractal and Fractional 6:11, pages 647.
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Wenting Mao, Yanping Chen & Huasheng Wang. (2021) A posteriori error estimations of the Petrov-Galerkin methods for fractional Helmholtz equations. Numerical Algorithms 89:3, pages 1095-1127.
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Wenting Mao, Huasheng Wang & Chuanjun Chen. (2021) A-posteriori error estimations based on postprocessing technique for two-sided fractional differential equations. Applied Numerical Mathematics 167, pages 73-91.
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Wenting Mao, Yanping Chen & Huasheng Wang. (2021) A-posteriori error estimations of the GJF-Petrov–Galerkin methods for fractional differential equations. Computers & Mathematics with Applications 90, pages 159-170.
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Yong Zhang, Xiaobing Bao, Li-Bin Liu & Zhifang Liang. (2021) Analysis of a finite difference scheme for a nonlinear Caputo fractional differential equation on an adaptive grid. AIMS Mathematics 6:8, pages 8611-8624.
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Arvet Pedas, Enn Tamme & Mikk Vikerpuur. (2020) Numerical solution of linear fractional weakly singular integro-differential equations with integral boundary conditions. Applied Numerical Mathematics 149, pages 124-140.
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Pratibhamoy Das. (2018) An a posteriori based convergence analysis for a nonlinear singularly perturbed system of delay differential equations on an adaptive mesh. Numerical Algorithms 81:2, pages 465-487.
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Zhongdi Cen, Jian Huang, Aimin Xu & Anbo Le. (2018) Numerical approximation of a time-fractional Black–Scholes equation. Computers & Mathematics with Applications 75:8, pages 2874-2887.
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Zhongdi Cen, Anbo Le & Aimin Xu. (2017) A robust numerical method for a fractional differential equation. Applied Mathematics and Computation 315, pages 445-452.
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