An implicit MLS meshless method for 2-D time dependent fractional diffusion–wave equation
暂无分享,去创建一个
Na Liu | Jiye Yang | Yifa Tang | Weiping Bu | Yifa Tang | Na Liu | W. Bu | Y. M. Zhao | T. L. Xu | Jiye Yang | Y. Zhao | T. Xu
[1] J. Monaghan,et al. Smoothed particle hydrodynamics: Theory and application to non-spherical stars , 1977 .
[2] R. Nigmatullin. To the Theoretical Explanation of the “Universal Response” , 1984 .
[3] R. Nigmatullin. The Realization of the Generalized Transfer Equation in a Medium with Fractal Geometry , 1986, January 1.
[4] W. Wyss. The fractional diffusion equation , 1986 .
[5] C. Lubich. Discretized fractional calculus , 1986 .
[6] W. Schneider,et al. Fractional diffusion and wave equations , 1989 .
[7] E. Kansa. Multiquadrics—A scattered data approximation scheme with applications to computational fluid-dynamics—I surface approximations and partial derivative estimates , 1990 .
[8] J. C. López-Marcos. A difference scheme for a nonlinear partial integrodifferential equation , 1990 .
[9] O. Marichev,et al. Fractional Integrals and Derivatives: Theory and Applications , 1993 .
[10] F. Mainardi. The fundamental solutions for the fractional diffusion-wave equation , 1996 .
[11] F. Mainardi. Fractional Relaxation-Oscillation and Fractional Diffusion-Wave Phenomena , 1996 .
[12] E. Oñate,et al. A FINITE POINT METHOD IN COMPUTATIONAL MECHANICS. APPLICATIONS TO CONVECTIVE TRANSPORT AND FLUID FLOW , 1996 .
[13] I. Podlubny. Fractional differential equations , 1998 .
[14] Ralf Metzler,et al. Boundary value problems for fractional diffusion equations , 2000 .
[15] Om P. Agrawal,et al. A general solution for a fourth-order fractional diffusion–wave equation defined in a bounded domain , 2001 .
[16] N. Ford,et al. Analysis of Fractional Differential Equations , 2002 .
[17] Om P. Agrawal,et al. Response of a diffusion‐wave system subjected to deterministic and stochastic fields , 2003 .
[18] Santos B. Yuste,et al. On an explicit finite difference method for fractional diffusion equations , 2003, ArXiv.
[19] Gui-Rong Liu,et al. An Introduction to Meshfree Methods and Their Programming , 2005 .
[20] I. Turner,et al. Analysis of a discrete non-Markovian random walk approximation for the time fractional diffusion equation , 2005 .
[21] YuanTong Gu,et al. MESHFREE METHODS AND THEIR COMPARISONS , 2005 .
[22] Santos B. Yuste,et al. An Explicit Finite Difference Method and a New von Neumann-Type Stability Analysis for Fractional Diffusion Equations , 2004, SIAM J. Numer. Anal..
[23] Santos B. Yuste,et al. Weighted average finite difference methods for fractional diffusion equations , 2004, J. Comput. Phys..
[24] Mark M. Meerschaert,et al. A second-order accurate numerical approximation for the fractional diffusion equation , 2006, J. Comput. Phys..
[25] Zhi‐zhong Sun,et al. A fully discrete difference scheme for a diffusion-wave system , 2006 .
[26] Chuanju Xu,et al. Finite difference/spectral approximations for the time-fractional diffusion equation , 2007, J. Comput. Phys..
[27] Fawang Liu,et al. New Solution and Analytical Techniques of the Implicit Numerical Method for the Anomalous Subdiffusion Equation , 2008, SIAM J. Numer. Anal..
[28] Xianjuan Li,et al. A Space-Time Spectral Method for the Time Fractional Diffusion Equation , 2009, SIAM J. Numer. Anal..
[29] Ningming Nie,et al. Features of seepage of a liquid to a Chink in the cracked Deformable Layer , 2010, Int. J. Model. Simul. Sci. Comput..
[30] Fawang Liu,et al. An advanced implicit meshless approach for the non-linear anomalous subdiffusion equation , 2010 .
[31] Fawang Liu,et al. An implicit RBF meshless approach for time fractional diffusion equations , 2011 .
[32] Prasad K. Yarlagadda,et al. Time‐dependent fractional advection–diffusion equations by an implicit MLS meshless method , 2011 .
[33] Jianfei Huang,et al. Two finite difference schemes for time fractional diffusion-wave equation , 2013, Numerical Algorithms.
[34] Fawang Liu,et al. A RBF meshless approach for modeling a fractal mobile/immobile transport model , 2014, Appl. Math. Comput..