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Original Articles

A formally second-order BDF finite difference scheme for the integro-differential equations with the multi-term kernels

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Pages 2055-2073 | Received 29 Nov 2018, Accepted 30 Sep 2019, Published online: 15 Oct 2019

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Biao Yang, Haixiang Zhang, Xiaoxuan Jiang & Xuehua Yang. (2023) An implicit difference scheme for the fourth-order nonlinear partial integro-differential equations. Applicable Analysis 102:8, pages 2314-2337.
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Y. Cao, O. Nikan & Z. Avazzadeh. (2023) A localized meshless technique for solving 2D nonlinear integro-differential equation with multi-term kernels. Applied Numerical Mathematics 183, pages 140-156.
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Wenlin Qiu, Da Xu & Jing Guo. (2020) A formally second‐order backward differentiation formula Sinc‐collocation method for the Volterra integro‐differential equation with a weakly singular kernel based on the double exponential transformation . Numerical Methods for Partial Differential Equations 38:4, pages 830-847.
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Leijie Qiao, Da Xu, Bo Tang & Jun Zhou. (2022) Fast ADI difference/compact difference schemes for the nonlocal evolution equation with weakly singular kernels in three dimensions. Mathematics and Computers in Simulation 194, pages 329-347.
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Huifa Jiang & Da Xu. (2021) An efficient Sinc‐collocation method by the single exponential transformation for the nonlinear fourth‐order partial integro‐differential equation with multiterm kernels. Mathematical Methods in the Applied Sciences 45:5, pages 3166-3182.
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Zhengang Zhao, Yunying Zheng & Xianglin Zeng. (2022) Finite element approximation of fractional hyperbolic integro-differential equation. AIMS Mathematics 7:8, pages 15348-15369.
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Xingguo Liu, Xuehua Yang, Haixiang Zhang & Yanling Liu. (2021) Discrete singular convolution for fourth-order multi-term time fractional equation. Tbilisi Mathematical Journal 14:2.
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Shantiram Mahata & Rajen Kumar Sinha. (2021) Finite Element Method for Fractional Parabolic Integro-Differential Equations with Smooth and Nonsmooth Initial Data. Journal of Scientific Computing 87:1.
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Wenlin Qiu, Da Xu & Jing Guo. (2021) Numerical solution of the fourth-order partial integro-differential equation with multi-term kernels by the Sinc-collocation method based on the double exponential transformation. Applied Mathematics and Computation 392, pages 125693.
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Yanling Liu, Xuehua Yang, Haixiang Zhang & Yuan Liu. (2021) Analysis of BDF2 finite difference method for fourth-order integro-differential equation. Computational and Applied Mathematics 40:2.
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Wenlin Qiu, Da Xu & Jing Guo. (2021) The Crank-Nicolson-type Sinc-Galerkin method for the fourth-order partial integro-differential equation with a weakly singular kernel. Applied Numerical Mathematics 159, pages 239-258.
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