The finite difference/finite volume method for solving the fractional diffusion equation

Tie Zhang, Qingxin Guo

Type: Article

Publication Date: 2018-08-27

Citations: 14

DOI: https://doi.org/10.1016/j.jcp.2018.08.033

View Publication

Locations

Journal of Computational Physics - View

Similar Works

Action	Title	Year	Authors
+	A finite difference/finite volume method for solving the fractional diffusion wave equation	2021	Yinan Sun Tie Zhang
+	Solution of the Finite-Difference Diffusion Equations	1959	G. I. Marchuk
+	A new fractional finite volume method for solving the two-sided space fractional diffusion equation with a variable coefficient	2012	Fawang Liu Pinghui Zhuang Ian Turner Kevin Burrage Vo Anh
+	Finite Difference/Finite Element Methods for Distributed-Order Time Fractional Diffusion Equations	2017	Weiping Bu Aiguo Xiao Wei Zeng
+	Second-Order Finite Difference/Spectral Element Formulation for Solving the Fractional Advection-Diffusion Equation	2020	Mostafa Abbaszadeh Hanieh Amjadian
+	Numerical solution of fractional diffusion equation over a long time domain	2015	S.R. Alavizadeh F. M. Maalek Ghaini
+	A Cubic Finite Volume Element Method for the Time Fractional Diffusion Equation	2022	何斯日古楞
+	A numerical study on solving a fractional time-space diffusion equation via the finite difference method	2024	Mouhssine Zakaria Abdelaziz Moujahid
+	Finite Difference/Collocation Method for Two-Dimensional Sub-Diffusion Equation with Generalized Time Fractional Derivative	2014	Qinwu Xu Zhoushun Zheng
+	A second-order accurate finite volume method for solving the two-sided space fractional diffusion equation	2012	Hala Hejazi Timothy J. Moroney Fawang Liu
+	A second-order accurate finite volume method for solving the two-sided space fractional diffusion equation	2012	Hala Hejazi Timothy J. Moroney Fawang Liu
+	A Fast Finite Difference Method for Three-Dimensional Time-Dependent Space-Fractional Diffusion Equations with Fractional Derivative Boundary Conditions	2017	Meng Zhao Hong Wang Aijie Cheng
+	Finite difference/spectral approximations for the time-fractional diffusion equation	2007	Yumin Lin Chuanju Xu
+	Finite Volume Method for a Space Distributed-Order Time-Fractional Diffusion Equation	2019	莹莹杨
+	Finite element method for space-time fractional diffusion equation	2016	Libo Feng Peixian Zhuang Fawang Liu Ian Turner Yuantong Gu
+	Semi-analytical solution for time-fractional diffusion equation based on finite difference method of lines (MOL)	2018	Saeed Kazem Mehdi Dehghan
+	A fast finite difference method for three-dimensional time-dependent space-fractional diffusion equations and its efficient implementation	2013	Hong Wang Ning Du
+	The Finite Volume Element Method for Time-Fractional Nonlinear Fourth-Order Diffusion Equation with Time Delay	2025	Anran Li Qing Yang
+	A Second Order Finite Difference Approximation for the Fractional Diffusion Equation	2013	H. M. Nasir Beruwalage Lakshika Kumari Gunawardana H. M. N. P. Abeyrathna
+	The numerical solution for the time-fractional inverse problem of diffusion equation	2018	Elyas Shivanian Ahmad Jafarabadi

Works That Cite This (13)

Action	Title	Year	Authors
+	Solving generalized fractional problem on a funnel-shaped domain depicting viscoelastic fluid in porous medium	2022	Jia Li Botong Li Yahui Meng
+	A high-order and extra-dof-free generalized finite element method for time-fractional diffusion equation	2022	YI YANG Jin Huang Hu Li
+	Numerical Analysis and Computation of the Finite Volume Element Method for the Nonlinear Coupled Time-Fractional Schrödinger Equations	2024	Xinyue Zhao Yining Yang Hong Li Zhichao Fang Yang Liu
+	Numerical Evaluation of Quarter-Sweep KSOR Method to Solve Time-Fractional Parabolic Equations	2020	Fatihah Anas Muhiddin Jumat Sulaiman Andang Sunarto
+ PDF Chat	The finite volume element method for the two-dimensional space-fractional convection–diffusion equation	2021	Yanan Bi Ziwen Jiang
+	An Isoparametric Finite Element Method for Time-fractional Parabolic Equation on 2D Curved Domain	2024	Zhixin Liu Minghui Song Hui Liang
+	A numerical scheme for the time-fractional diffusion equation by layer potentials	2021	Qingyun Yao Haibing Wang
+	The H1-error analysis of the finite element method for solving the fractional diffusion equation	2020	Tie Zhang Ying Sheng
+	A fractional model for estimating the hole geometry in the laser drilling process of thin metal sheets	2020	W. K. Zahra Mahmoud Abdel‐Aty Diaa Abidou
+ PDF Chat	The Finite Volume Element Method for Time Fractional Generalized Burgers’ Equation	2024	Jingru Zhang Qing Yang

Works Cited by This (23)

Action	Title	Year	Authors
+	Generalized Difference Methods for Differential Equations	2000	Rong-Hua Li Zhongying Chen Wei Wu
+	Theory and Applications of Fractional Differential Equations	2006	Anatoly A. Kilbas H. M. Srivastava Juan J. Trujillo
+ PDF Chat	High-Order Accurate Local Schemes for Fractional Differential Equations	2015	Daniel Baffet Jan S. Hesthaven
+	A fully discrete difference scheme for a diffusion-wave system	2005	Zhi‐zhong Sun Xiaonan Wu
+ PDF Chat	Weighted average finite difference methods for fractional diffusion equations	2006	S. B. Yuste
+ PDF Chat	A finite volume method for solving the two-sided time-space fractional advection-dispersion equation	2013	Hala Hejazi Timothy J. Moroney Fawang Liu
+	Finite element approximation for a modified anomalous subdiffusion equation	2011	Q. Liu F. Liu Ian Turner Vo Anh
+	A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications	2013	Guang‐hua Gao Zhi‐zhong Sun Hongwei Zhang
+	Numerical approximation of nonlinear fractional differential equations with subdiffusion and superdiffusion	2011	Changpin Li Zhengang Zhao YangQuan Chen
+ PDF Chat	Existence and Uniqueness of the Weak Solution of the Space-time Fractional Diffusion Equation and a Spectral Method Approximation	2010	Xinglong Li Chuanju Xu 许传炬