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International Journal of Computer Mathematics Volume 95, 2018 - Issue 6-7: Advances on Computational Fractional Partial Differential Equations
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Original Articles

A Petrov–Galerkin spectral method for the linearized time fractional KdV equation

Hu ChenApplied and Computational Mathematics Division, Beijing Computational Science Research Center, Beijing, ChinaView further author information
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Tao SunSchool of Statistics and Mathematics, Shanghai Lixin University of Accounting and Finance, Shanghai, ChinaCorrespondence[email protected]
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Pages 1292-1307 | Received 28 Apr 2017, Accepted 18 Oct 2017, Published online: 08 Dec 2017

Citations (9)

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Sudarshan Santra & Jugal Mohapatra. (2023) Numerical treatment of multi-term time fractional nonlinear KdV equations with weakly singular solutions. International Journal of Modelling and Simulation 43:1, pages 23-33.
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Articles from other publishers (8)

Shams Ul Arifeen & Sirajul Haq. (2023) Petrov–Galerkin approximation of time-fractional coupled Korteweg–de Vries equation for propagation of long wave in shallow water. Mathematics and Computers in Simulation 207, pages 226-242.
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Hu Chen, Mengyi Chen, Tao Sun & Yifa Tang. (2022) Local error estimate of L1 scheme for linearized time fractional KdV equation with weakly singular solutions. Applied Numerical Mathematics 179, pages 183-190.
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Mariam Sultana, Uroosa Arshad, Ali Hasan Ali, Omar Bazighifan, Areej A. Al-Moneef & Kamsing Nonlaopon. (2022) New Efficient Computations with Symmetrical and Dynamic Analysis for Solving Higher-Order Fractional Partial Differential Equations. Symmetry 14:8, pages 1653.
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Waleed Mohamed Abd-Elhameed & Youssri Hassan Youssri. (2022) Spectral tau solution of the linearized time-fractional KdV-Type equations. AIMS Mathematics 7:8, pages 15138-15158.
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Сергей Игоревич Пискарев, Sergey Igorevich Piskarev, Алексей Витальевич Овчинников & Aleksei Vital'evich Ovchinnikov. (2021) Аттракторы, затенение и аппроксимация абстрактных полулинейных дифференциальных уравненийAttractors, shadowing, and approximation of abstract semilinear differential equations. Итоги науки и техники. Серия «Современная математика и ее приложения. Тематические обзоры» Itogi Nauki i Tekhniki. Seriya "Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory" 189, pages 3-130.
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Desong Kong, Yufeng Xu & Zhoushun Zheng. (2019) Numerical method for generalized time fractional KdV‐type equation. Numerical Methods for Partial Differential Equations 36:4, pages 906-936.
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Muhammad M. Alsuyuti, Eid H. Doha, Samer S. Ezz‐Eldien, Bayoumi I. Bayoumi & Dumitru Baleanu. (2019) Modified Galerkin algorithm for solving multitype fractional differential equations. Mathematical Methods in the Applied Sciences 42:5, pages 1389-1412.
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Hu Chen, Xiaohan Hu, Jincheng Ren, Tao Sun & Yifa Tang. (2019) L1 scheme on graded mesh for the linearized time fractional KdV equation with initial singularity. International Journal of Modeling, Simulation, and Scientific Computing 10:01, pages 1941006.
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