A posteriori error analysis for a fractional differential equation

Modified spline collocation for linear fractional differential equations

(2015) Marek Kolk et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Central difference approximation of convection in Caputo fractional derivative two-point boundary value problems

(2015) J.L. Gracia et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Comparison of a priori and a posteriori meshes for singularly perturbed nonlinear parameterized problems

(2015) Pratibhamoy Das   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Fast finite difference methods for space-fractional diffusion equations with fractional derivative boundary conditions

(2015) Jinhong Jia et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Stability and convergence of finite difference schemes for a class of time-fractional sub-diffusion equations based on certain superconvergence

(2015) Guang-Hua Gao et al.   JOURNAL OF COMPUTATIONAL PHYSICS

High-Order Accurate Local Schemes for Fractional Differential Equations

(2015) Daniel Baffet et al.   JOURNAL OF SCIENTIFIC COMPUTING

Boundary Layers in a Two-Point Boundary Value Problem with a Caputo Fractional Derivative

(2015) Martin Stynes et al.   Computational Methods in Applied Mathematics

Spline collocation for nonlinear fractional boundary value problems

(2014) Arvet Pedas et al.   APPLIED MATHEMATICS AND COMPUTATION

A finite difference method for a two-point boundary value problem with a Caputo fractional derivative

(2014) M. Stynes et al.   IMA JOURNAL OF NUMERICAL ANALYSIS

Spectral collocation method for linear fractional integro-differential equations

(2013) Xiaohua Ma et al.   APPLIED MATHEMATICAL MODELLING

Application of the collocation method for solving nonlinear fractional integro-differential equations

(2013) M.R. Eslahchi et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Numerical solution of nonlinear fractional differential equations by spline collocation methods

(2013) Arvet Pedas et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Piecewise polynomial collocation for linear boundary value problems of fractional differential equations

(2012) Arvet Pedas et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Uniform convergence analysis of finite difference approximations for advection–reaction–diffusion problem on adaptive grids

(2011) Li-Nan Sun et al.   INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS

Multigrid method for fractional diffusion equations

(2011) Hong-Kui Pang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Piecewise-linear, discontinuous Galerkin method for a fractional diffusion equation

(2010) Kassem Mustapha et al.   NUMERICAL ALGORITHMS

A finite difference method for fractional partial differential equation

(2009) Yang Zhang   APPLIED MATHEMATICS AND COMPUTATION

Analysis of a System of Singularly Perturbed Convection-Diffusion Equations with Strong Coupling

(2009) Torsten Linss   SIAM JOURNAL ON NUMERICAL ANALYSIS

Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term

(2009) P. Zhuang et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Implicit finite difference approximation for time fractional diffusion equations

(2008) Diego A. Murio   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Maximum principle for the generalized time-fractional diffusion equation

(2008) Yury Luchko   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Convergence analysis of a discontinuous Galerkin method for a sub-diffusion equation

(2008) William McLean et al.   NUMERICAL ALGORITHMS

Numerical solutions of the space-time fractional advection-dispersion equation

(2008) Shaher Momani et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Maximum Norm A Posteriori Error Estimate for a 2D Singularly Perturbed Semilinear Reaction-Diffusion Problem

(2008) Natalia Kopteva   SIAM JOURNAL ON NUMERICAL ANALYSIS