Fundamental kernel-based method for backward space–time fractional diffusion problem-Reference-Cited by-同舟云学术

Fundamental kernel-based method for backward space–time fractional diffusion problem

Published:2016-01 Issue:1 Volume:71 Page:356-367
ISSN:0898-1221
Container-title:Computers & Mathematics with Applications
language:en
Short-container-title:Computers & Mathematics with Applications

Author:

Dou F.F.,Hon Y.C.

Funder

National Natural Science Foundation of China

Research Council of the Hong Kong Special Administrative Region, China

Publisher

Elsevier BV

Subject

Computational Mathematics,Computational Theory and Mathematics,Modelling and Simulation

Reference43 articles.

1. Multi-dimensional solutions of space–time-fractional diffusion equations;Hanyga;Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci.,2002

2. Boundary value problems for fractional diffusion equations;Metzler;Physica A,2000

3. Inverse heat conduction problems by using particular solutions;Wen;Heat Transfer Asian Res.,2011

4. Numerical simulations of 2D fractional subdiffusion problems;Brunner;J. Comput. Phys.,2010

5. A numerical method for an integro-differential equation with memory in Banach spaces: qualitative properties;Cuesta;SIAM: SIAM J. Numer. Anal.,2003

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