High-order orthogonal spline collocation method with graded meshes for two-dimensional fractional evolution integro-differential equation-Reference-Cited by-同舟云学术

High-order orthogonal spline collocation method with graded meshes for two-dimensional fractional evolution integro-differential equation

Published:2021-10-18 Issue: Volume: Page:1-20
ISSN:0020-7160
Container-title:International Journal of Computer Mathematics
language:en
Short-container-title:International Journal of Computer Mathematics

Author:

Qiao Leijie¹,Tang Bo²³⁴,Xu Da⁵,Qiu Wenlin⁵^ORCID

Affiliation:

1. School of Mathematics and Statistics, Changsha University of Science and Technology, Changsha, Hunan, People's Republic of China

2. Hubei Key Laboratory of Power System Design and Test for Electrical Vehicle, Hubei University of Arts and Science, Xiangyang, Hubei, People's Republic of China

3. School of Mathematics and Statistics, Hubei University of Arts and Science, Xiangyang, Hubei, People's Republic of China

4. School of Mathematics and Computational Science, Xiangtan University, Xiangtan, Hunan, People's Republic of China

5. School of Mathematics and Statistics, Hunan Normal University, Changsha, Hunan, People's Republic of China

Funder

National Natural Science Foundation of China

Hubei Superior and Distinctive Discipline Group of ‘Mechatronics and Automobiles’

Publisher

Informa UK Limited

Subject

Applied Mathematics,Computational Theory and Mathematics,Computer Science Applications

Link

https://www.tandfonline.com/doi/pdf/10.1080/00207160.2021.1984435

Reference34 articles.

1. Analysis of alternating direction collocation methods for parabolic and hyperbolic problems in two space variables

2. A second order BDF alternating direction implicit difference scheme for the two-dimensional fractional evolution equation

3. Maximum-norm error analysis of a numerical solution via Laplace transformation and quadrature of a fractional-order evolution equation

4. A hybridizable discontinuous Galerkin method for fractional diffusion problems

5. Trapezoidal methods for fractional differential equations: Theoretical and computational aspects

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