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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 semi-analytic collocation method for space fractional parabolic PDE

S.Y. ReutskiyCollege of Mechanics and Materials, Hohai University, Nanjing, China;State Institution ‘Institute of Technical Problems of Magnetism of the National Academy of Sciences of Ukraine’, Kharkov, UkraineCorrespondence[email protected]
[email protected]
&
Ji LinCollege of Mechanics and Materials, Hohai University, Nanjing, China
Pages 1326-1339 | Received 28 Apr 2017, Accepted 28 Nov 2017, Published online: 04 Jan 2018

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Haniye Dehestani & Yadollah Ordokhani. (2021) A modified numerical algorithm based on fractional Euler functions for solving time-fractional partial differential equations. International Journal of Computer Mathematics 98:10, pages 2078-2096.
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Articles from other publishers (11)

Zhuojia Fu, Wenzhi Xu & Shuainan Liu. (2024) Physics-informed kernel function neural networks for solving partial differential equations. Neural Networks 172, pages 106098.
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Praveen Agarwal, Andang Sunarto, Jackel Vui Lung Chew, Jumat Sulaiman & Shaher Momani. (2023) New preconditioning and half-sweep accelerated overrelaxation solution for fractional differential equation. Journal of King Saud University - Science 35:2, pages 102461.
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Mohammad Izadi & Pradip Roul. (2022) A highly accurate and computationally efficient technique for solving the electrohydrodynamic flow in a circular cylindrical conduit. Applied Numerical Mathematics 181, pages 110-124.
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Farzaneh Safari, Qingshan Tong, Zhen Tang & Jun Lu. (2022) A Meshfree Approach for Solving Fractional Galilei Invariant Advection–Diffusion Equation through Weighted–Shifted Grünwald Operator. Mathematics 10:21, pages 4008.
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Xia Tian & Ji Lin. (2020) A novel radial basis function method for 3D linear and nonlinear advection diffusion reaction equations with variable coefficients. Engineering with Computers 38:S1, pages 475-488.
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Ji Lin, Yuhui Zhang & Sergiy Reutskiy. (2021) A semi-analytical method for 1D, 2D and 3D time fractional second order dual-phase-lag model of the heat transfer. Alexandria Engineering Journal 60:6, pages 5879-5896.
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Farzaneh Safari & Pouya Azarsa. (2019) Backward substitution method based on Müntz polynomials for solving the nonlinear space fractional partial differential equations. Mathematical Methods in the Applied Sciences 43:2, pages 847-864.
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Lotfi Kasmi, Amara Guerfi & Said Mesloub. (2019) Existence of solution for 2-D time-fractional differential equations with a boundary integral condition. Advances in Difference Equations 2019:1.
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Fahimeh Saberi Zafarghandi & Maryam Mohammadi. (2019) Numerical approximations for the Riesz space fractional advection-dispersion equations via radial basis functions. Applied Numerical Mathematics 144, pages 59-82.
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Sirajul Haq & Manzoor Hussain. (2018) The meshless Kansa method for time-fractional higher order partial differential equations with constant and variable coefficients. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 113:3, pages 1935-1954.
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Daniela Marian, Sorina Anamaria Ciplea & Nicolaie Lungu. (2019) Ulam-Hyers stability of a parabolic partial differential equation. Demonstratio Mathematica 52:1, pages 475-481.
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