Numerical methods for fractional diffusion. arXiv preprint arXiv:1707.01566, 2017.A. Bonito, J.P. Borthagaray, R.H. Nochetto, E. Ota´rola, and A.J. Salgado. Numerical methods for fractional diffusion. arXiv:1707.01566, 2017.A. Bonito, J.P. Borthagaray, R.H. Nochetto, E. Ota´...
The developments of the correlative numerical methods can be briefly reviewed as follows. From the end of 20th century, Gorenflo et al have published a series of papers [93-95, 149, 150] regarding the finite difference schemes for solving time, space, and time-space fractional diffusion ...
Numerical Methods for a Class of Fractional Advection-Diffusion Models with Functional DelayIn this paper, we consider a technique of creation of difference schemes for time and space fractional partial differential equations with effect of delay on time. For two sided space fractional diffu...
The differential equations with fractional order have recently been proved to be powerful tools for describing anomalous diffusion. Nevertheless, the analysis methods and numerical methods for fractional differential equations are still in the stage of exploration. In the paper, we consider the Sturm-...
New numerical methods for the Riesz space fractional partial differential equations In this paper, we consider the numerical solution of the Riesz space fractional diffusion equation and advection鈥揹ispersion equation. First, a system of ... HF Ding,YX Zhang - 《Computers & Mathematics with ...
Fractional step methodsAdditive RKWe have developed new methods to integrate efficiently reaction–diffusion parabolic problems with nonlinear reaction terms. In order to obtain uniform and unconditional convergence, such methods combine the advantages of alternating direction methods, the additive Runge–...
Diffusion-wave equationNumerical methodsPartial fractional differential equationsViscoelastic membranesA numerical method is presented for the solution of partial ... JT Katsikadelis - 《Computers & Mathematics with Applications》 被引量: 33发表: 2011年 Efficient computational hybrid method for the solution...
NUMERICAL METHODS FOR THE VARIABLE-ORDER FRACTIONAL ADVECTION-DIFFUSION EQUATION WITH A NONLINEAR SOURCE TERM In this paper, we consider a variable-order fractional advection-diffusion equation with a nonlinear source term on a finite domain. Explicit and implicit ... Zhuang,Liu,Anh,... - SIAM J...
Cattani, Numerical solution of fractional sub-diffusion and time-fractional diffusion-wave equations via fractional-order Legendre functions, The European Physical Journal Plus 131, No. 8 (2016) 131-268.M. R. Hooshmandasl, M. H. Heydari, and C. Cattani, "Numer- ical solution of fractional ...
R. Jakobsen, On numerical methods and error estimates for degenerate fractional convection-diffusion equations, Numer. Math., 127 (2014), pp. 447-483.S. Cifani and E. R. Jakobsen. On numerical methods and error estimates for degenerate fractional convection-diffusion equations. arXiv:1201.6079 [...