A meshless numerical procedure for solving fractional reaction subdiffusion model via a new combination of alternating direction implicit (ADI) approach and interpolating element free Galerkin (EFG) method-Reference-Cited by-同舟云学术

A meshless numerical procedure for solving fractional reaction subdiffusion model via a new combination of alternating direction implicit (ADI) approach and interpolating element free Galerkin (EFG) method

Published:2015-11 Issue:10 Volume:70 Page:2493-2512
ISSN:0898-1221
Container-title:Computers & Mathematics with Applications
language:en
Short-container-title:Computers & Mathematics with Applications

Author:

Abbaszadeh Mostafa,Dehghan Mehdi

Publisher

Elsevier BV

Subject

Computational Mathematics,Computational Theory and Mathematics,Modelling and Simulation

Reference76 articles.

1. Finite element method for two-dimensional time-fractional Tricomi-type equations;Zhang;Numer. Methods Partial Differential Equations,2013

2. The Fractional Calculus: Theory and Application of Differentiation and Integration to Arbitrary Order;Oldham,1974

3. Fractional Differential Equations;Podulbny,1999

4. The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics;Metzler;J. Phys. A,2004

5. A theoretical basis for the application of fractional calculus to viscoelasticity;Bagley;J. Rheol.,1983

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