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ORCIDJournal of Computational Physics, Volume 293
Volume 293, July 2015
- George E. Karniadakis, Jan S. Hesthaven, Igor Podlubny
:
Special Issue on "Fractional PDEs: Theory, Numerics, and Applications". 1-3
- Manuel Duarte Ortigueira, J. A. Tenreiro Machado:
What is a fractional derivative? 4-13 - Farzad Sabzikar, Mark M. Meerschaert, Jinghua Chen:
Tempered fractional calculus. 14-28 - Luisa Beghin:
On fractional tempered stable processes and their governing differential equations. 29-39 - Yuri Luchko:
Wave-diffusion dualism of the neutral-fractional processes. 40-52 - Christopher Angstmann, Isaac C. Donnelly, Bruce Ian Henry, James A. Nichols:
A discrete time random walk model for anomalous diffusion. 53-69 - Francesco Mainardi, Roberto Garrappa:
On complete monotonicity of the Prabhakar function and non-Debye relaxation in dielectrics. 70-80 - Ahmad El-Ajou, Omar Abu Arqub, Shaher Momani:
Approximate analytical solution of the nonlinear fractional KdV-Burgers equation: A new iterative algorithm. 81-95
- J. Tenreiro Machado:
Numerical calculation of the left and right fractional derivatives. 96-103 - Abdon Atangana:
On the stability and convergence of the time-fractional variable order telegraph equation. 104-114 - Roberto Garrappa, Igor Moret, Marina Popolizio:
Solving the time-fractional Schrödinger equation by Krylov projection methods. 115-134 - Kai Diethelm:
Increasing the efficiency of shooting methods for terminal value problems of fractional order. 135-141 - Ali H. Bhrawy, Eid H. Doha, Dumitru Baleanu, Samer S. Ezz-Eldien:
A spectral tau algorithm based on Jacobi operational matrix for numerical solution of time fractional diffusion-wave equations. 142-156 - Feng Chen, Qinwu Xu, Jan S. Hesthaven:
A multi-domain spectral method for time-fractional differential equations. 157-172 - Qinwu Xu, Jan S. Hesthaven, Feng Chen:
A parareal method for time-fractional differential equations. 173-183 - Xuan Zhao, Zhi-Zhong Sun, George E. Karniadakis:
Second-order approximations for variable order fractional derivatives: Algorithms and applications. 184-200 - William McLean, Kassem Mustapha:
Time-stepping error bounds for fractional diffusion problems with non-smooth initial data. 201-217 - Heng-fei Ding, Changpin Li, Yangquan Chen:
High-order algorithms for Riesz derivative and their applications (II). 218-237 - Pengde Wang, Chengming Huang:
An energy conservative difference scheme for the nonlinear fractional Schrödinger equations. 238-251 - Fawang Liu, Pinghui Zhuang, Ian W. Turner, Vo Anh, Kevin Burrage:
A semi-alternating direction method for a 2-D fractional FitzHugh-Nagumo monodomain model on an approximate irregular domain. 252-263 - Weiping Bu, Yifa Tang, Yingchuan Wu, Jiye Yang:
Finite difference/finite element method for two-dimensional space and time fractional Bloch-Torrey equations. 264-279 - Guofei Pang, Wen Chen, Zhuo-Jia Fu:
Space-fractional advection-dispersion equations by the Kansa method. 280-296 - Mauro Bologna, Adam Svenkeson, Bruce J. West, Paolo Grigolini:
Diffusion in heterogeneous media: An iterative scheme for finding approximate solutions to fractional differential equations with time-dependent coefficients. 297-311 - Mohsen Zayernouri, George E. Karniadakis:
Fractional spectral collocation methods for linear and nonlinear variable order FPDEs. 312-338 - Long Chen, Ricardo H. Nochetto, Enrique Otárola, Abner J. Salgado:
A PDE approach to fractional diffusion: A posteriori error analysis. 339-358 - Jinhong Jia, Hong Wang:
Fast finite difference methods for space-fractional diffusion equations with fractional derivative boundary conditions. 359-369 - Matthew Harker, Paul O'Leary:
Sylvester Equations and the numerical solution of partial fractional differential equations. 370-384
- Omar Abu Arqub, Ahmad El-Ajou, Shaher Momani:
Constructing and predicting solitary pattern solutions for nonlinear time-fractional dispersive partial differential equations. 385-399 - Michele Caputo, Mauro Fabrizio:
Damage and fatigue described by a fractional derivative model. 400-408 - R. T. Sibatov, Vladimir V. Uchaikin:
Dispersive transport of charge carriers in disordered nanostructured materials. 409-426 - Andrea Mentrelli, Gianni Pagnini:
Front propagation in anomalous diffusive media governed by time-fractional diffusion. 427-441 - Jianping Zhang, Ke Chen:
Variational image registration by a total fractional-order variation model. 442-461
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