Numerical methods for solving a two-dimensional variable-order modified diffusion equation

Keywords

Numerical analysis, Mathematics, Variable (mathematics), Convergence (economics), Diffusion equation

References

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• On mean square displacement behaviors of anomalous diffusions with variable and random ordersHongGuang Sun, Wen Chen, Hu Sheng — 2010
• Numerical methods for solving a two-dimensional variable-order anomalous subdiffusion equationChang‐Ming Chen, F. Liu, Vo Anh — 2012
• Mechanics with variable‐order differential operatorsCarlos F.M. Coimbra — 2003
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Cited by

• Efficient Spectral Collocation Algorithm for a Two-Sided Space Fractional Boussinesq Equation with Non-local ConditionsA. H. Bhrawy, M. A. Abdelkawy, S. S. Ezz‐Eldien — 2015
• Numerical scheme with high order accuracy for solving a modified fractional diffusion equationY. Chen, Chang‐Ming Chen — 2014
• Exact solutions of a modified fractional diffusion equation in the finite and semi-infinite domainsGang Guo, Kun Li, Yuhui Wang — 2015
• First passage time distribution of a modified fractional diffusion equation in the semi-infinite intervalGang Guo, Bin Chen, Zhao Xinjun — 2015
• Compact difference schemes for the modified anomalous fractional sub-diffusion equation and the fractional diffusion-wave equationZhibo Wang, Seakweng Vong — 2013
• Space-Time spectral collocation Algorithm for the variable-order Galilei Invariant advection diffusion equations with a nonlinear Source TermM. A. Abdelkawy, Rubayyi T. Alqahtani — 2017
• Numerical simulation with the second order compact approximation of first order derivative for the modified fractional diffusion equationY. Chen, Chang‐Ming Chen — 2018
• Local fractional Fourier method for solving modified diffusion equations with local fractional derivativeYong-Ju Yang, Yan-Ni Chang, Shunqin Wang — 2016
• A space-time spectral collocation method for the two-dimensional variable-order fractional percolation equationsWei Jiang, Hui Li — 2018
• Approximation methods for solving fractional equationsSamaneh Soradi Zeid — 2019
• An Efficient Numerical Scheme for Variable-Order Fractional Sub-Diffusion EquationUmair Ali, Muhammad Sohail, Farah Aini Abdullah — 2020
• Accurate spectral algorithm for two‐dimensional variable‐order fractional percolation equationsM. A. Abdelkawy, Emad E. Mahmoud, Kholod M. Abualnaja — 2021
• Numerical Method to Modify the Fractional-Order Diffusion EquationYunkun Chen — 2022
• A New Numerical Approach for Variable-Order Time-Fractional Modified Subdiffusion Equation via Riemann-Liouville Fractional DerivativeDowlath Fathima, Muhammad Naeem, Umair Ali — 2022
• Three-dimensional fractional viscoelastic constitutive modeling and numerical implementation using the L1[12pt]minimal amsmath wasysym amsfonts amssymb amsbsy mathrsfs upgreekPan Ding, Riqing Xu, Minjie Wen — 2026
• Accurate Spectral Algorithms for Solving Variable-order Fractional Percolation EquationsM. Abdelkawy — 2020

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