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Algorithms for the fractional calculus: A selection of numerical methods JOURNAL ARTICLE published February 2005 in Computer Methods in Applied Mechanics and Engineering |
Multi-order fractional differential equations and their numerical solution JOURNAL ARTICLE published July 2004 in Applied Mathematics and Computation |
Error estimates of a high order numerical method for solving linear fractional differential equations JOURNAL ARTICLE published April 2017 in Applied Numerical Mathematics |
Pitfalls in fast numerical solvers for fractional differential equations JOURNAL ARTICLE published February 2006 in Journal of Computational and Applied Mathematics |
An efficient parallel algorithm for the numerical solution of fractional differential equations JOURNAL ARTICLE published September 2011 in Fractional Calculus and Applied Analysis |
Numerical analysis of an operational Jacobi Tau method for fractional weakly singular integro-differential equations JOURNAL ARTICLE published November 2017 in Applied Numerical Mathematics |
Error analysis and approximation of Jacobi pseudospectral method for the integer and fractional order integro-differential equation JOURNAL ARTICLE published January 2022 in Applied Numerical Mathematics |
A numerical method for the fractional Schrödinger type equation of spatial dimension two JOURNAL ARTICLE published June 2013 in Fractional Calculus and Applied Analysis |
Local H1-norm error analysis of a mixed finite element method for a time-fractional biharmonic equation JOURNAL ARTICLE published March 2022 in Applied Numerical Mathematics |
Fractional boundary value problems: Analysis and numerical methods JOURNAL ARTICLE published December 2011 in Fractional Calculus and Applied Analysis |
Numerical analysis for distributed-order differential equations JOURNAL ARTICLE published March 2009 in Journal of Computational and Applied Mathematics |
Error analysis of spectral method for the space and time fractional Fokker—Planck equation BOOK CHAPTER published March 2013 in Recent Advances in Applied Nonlinear Dynamics with Numerical Analysis |
Fractional-Compact Numerical Algorithms for Riesz Spatial Fractional Reaction-Dispersion Equations JOURNAL ARTICLE published June 2017 in Fractional Calculus and Applied Analysis |
Error estimates for an operator-splitting method for incompressible flows JOURNAL ARTICLE published October 2004 in Applied Numerical Mathematics |
Error estimate for the numerical solution of fractional reaction–subdiffusion process based on a meshless method JOURNAL ARTICLE published May 2015 in Journal of Computational and Applied Mathematics |
Numerical algorithm to solve system of nonlinear fractional differential equations based on wavelets method and the error analysis JOURNAL ARTICLE published January 2015 in Applied Mathematics and Computation Research funded by Natural Foundation of Hebei Province (A2012203407) | Qinhuangdao Research and Development Program of Science and Technology (201201B019) | Qinhuangdao Technology Bureau 2013 (201302A023) |
A finite element method for time fractional partial differential equations JOURNAL ARTICLE published September 2011 in Fractional Calculus and Applied Analysis |
Integration pointwise pollution error estimates in the finite element method in one dimension JOURNAL ARTICLE published November 2004 in Applied Numerical Mathematics |
Error analysis for a second order scheme for the Navier–Stokes equations JOURNAL ARTICLE published July 2004 in Applied Numerical Mathematics |
BDF-type shifted Chebyshev approximation scheme for fractional functional differential equations with delay and its error analysis JOURNAL ARTICLE published August 2017 in Applied Numerical Mathematics Research funded by Government of the Russian Federation (02.A03.21.0006) |