An alternating direction implicit orthogonal spline collocation method for the two dimensional multi-term time fractional integro-differential equation-Reference-Cited by-同舟云学术

An alternating direction implicit orthogonal spline collocation method for the two dimensional multi-term time fractional integro-differential equation

Published:2020-05 Issue: Volume:151 Page:199-212
ISSN:0168-9274
Container-title:Applied Numerical Mathematics
language:en
Short-container-title:Applied Numerical Mathematics

Author:

Qiao Leijie,Wang Zhibo,Xu Da

Funder

National Natural Science Foundation of China

Natural Science Foundation of Guangdong Province

Project of Science and Technology of Guangzhou

Youth Top Talent Program of Guangdong Province

Department of Education of Guangdong Province

Guangdong University of Technology

Construct Program of the Key Discipline in Hunan Province

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis

Reference36 articles.

1. Finite element multigrid method for multi-term time fractional advection diffusion equations;Bu;Int. J. Model. Simul. Sci. Comput.,2015

2. Conduction of heat in solids;Carslaw;Math. Gaz.,1959

3. An alternating direction implicit fractional trapezoidal rule type difference scheme for the two-dimensional fractional evolution equation;Chen;Int. J. Comput. Math.,2015

4. ADI-Euler and extrapolation methods for the two-dimensional advection-dispersion equation;Chen;J. Appl. Math. Comput.,2008

5. A fractional trapezoidal rule for integro-differential equations of fractional order in Banach spaces;Cuesta;Appl. Numer. Math.,2003

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