Numerical methods for the two-dimensional multi-term time-fractional diffusion equations
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Fawang Liu | Vo V. Anh | Linlin Zhao | Fawang Liu | V. Anh | Linlin Zhao
[1] Fawang Liu,et al. Novel Numerical Methods for Solving the Time-Space Fractional Diffusion Equation in Two Dimensions , 2011, SIAM J. Sci. Comput..
[2] Chuanju Xu,et al. Finite difference/spectral approximations for the time-fractional diffusion equation , 2007, J. Comput. Phys..
[3] Fawang Liu,et al. Numerical solution of the space fractional Fokker-Planck equation , 2004 .
[4] Mark M Meerschaert,et al. Analytical time-domain Green's functions for power-law media. , 2008, The Journal of the Acoustical Society of America.
[5] Mehdi Dehghan,et al. Two high-order numerical algorithms for solving the multi-term time fractional diffusion-wave equations , 2015, J. Comput. Appl. Math..
[6] S. Wearne,et al. Fractional cable models for spiny neuronal dendrites. , 2008, Physical review letters.
[7] Prasad K. Yarlagadda,et al. Time‐dependent fractional advection–diffusion equations by an implicit MLS meshless method , 2011 .
[8] Fawang Liu,et al. Finite Difference Approximation for Two-Dimensional Time Fractional Diffusion Equation , 2007 .
[9] J. Klafter,et al. The random walk's guide to anomalous diffusion: a fractional dynamics approach , 2000 .
[10] Fawang Liu,et al. Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain , 2012, Comput. Math. Appl..
[11] Fawang Liu,et al. Convergence and superconvergence of a fully-discrete scheme for multi-term time fractional diffusion equations , 2017, Comput. Math. Appl..
[12] Fawang Liu,et al. Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation , 2007, Appl. Math. Comput..
[13] I. Turner,et al. A high-order spectral method for the multi-term time-fractional diffusion equations , 2016 .
[14] Yury F. Luchko. Initial-boundary-value problems for the generalized multi-term time-fractional diffusion equation , 2011 .
[15] Francesco Mainardi,et al. Fractional calculus and stable probability distributions , 1998 .
[16] Ralf Metzler,et al. Boundary value problems for fractional diffusion equations , 2000 .
[17] Francesco Mainardi,et al. Fractional Calculus: Some Basic Problems in Continuum and Statistical Mechanics , 2012, 1201.0863.
[18] N. Leonenko,et al. Space-time fractional stochastic equations on regular bounded open domains , 2015, 1504.00803.
[19] Mark M Meerschaert,et al. FRACTIONAL PEARSON DIFFUSIONS. , 2013, Journal of mathematical analysis and applications.
[20] Rina Schumer,et al. Fractal mobile/immobile solute transport , 2003 .
[21] B. Henry,et al. The accuracy and stability of an implicit solution method for the fractional diffusion equation , 2005 .
[22] M. Meerschaert,et al. Numerical methods for solving the multi-term time-fractional wave-diffusion equation , 2012, Fractional calculus & applied analysis.
[23] Bangti Jin,et al. The Galerkin finite element method for a multi-term time-fractional diffusion equation , 2014, J. Comput. Phys..
[24] Rezvan Salehi,et al. A meshless point collocation method for 2-D multi-term time fractional diffusion-wave equation , 2017, Numerical Algorithms.
[25] D. Benson,et al. Application of a fractional advection‐dispersion equation , 2000 .
[26] Igor M. Sokolov,et al. ANOMALOUS TRANSPORT IN EXTERNAL FIELDS : CONTINUOUS TIME RANDOM WALKS AND FRACTIONAL DIFFUSION EQUATIONS EXTENDED , 1998 .
[27] R. Gorenflo,et al. Fractional calculus and continuous-time finance , 2000, cond-mat/0001120.
[28] Vo V. Anh,et al. Fractional-in-time and multifractional-in-space stochastic partial differential equations , 2016 .
[29] Sachin Bhalekar,et al. Boundary value problems for multi-term fractional differential equations , 2008 .
[30] I. Turner,et al. Numerical Approximation of a Fractional-In-Space Diffusion Equation, I , 2005 .
[31] K. Burrage,et al. Analytical solutions for the multi-term time–space Caputo–Riesz fractional advection–diffusion equations on a finite domain , 2012 .
[32] Fawang Liu,et al. Series expansion solutions for the multi-term time and space fractional partial differential equations in two- and three-dimensions , 2013 .
[33] Naomichi Hatano,et al. Dispersive transport of ions in column experiments: An explanation of long‐tailed profiles , 1998 .