An indirect collocation method for variable-order fractional wave equations on uniform or graded meshes and its optimal error estimates

Authors :: Zhiwei Yang
Hong Wang
Xiangcheng Zheng
Source :: International Journal of Computer Mathematics. 98:2296-2309
Publication Year :: 2021
Publisher :: Informa UK Limited, 2021.
Abstract: We develop an indirect collocation method for a variable-order fractional wave equation. Fractional differential equations are well known to exhibit initial weak singularity, which makes it unreali...

Subjects :: Applied Mathematics
010103 numerical & computational mathematics
Wave equation
01 natural sciences
Computer Science Applications
010101 applied mathematics
Singularity
Computational Theory and Mathematics
Collocation method
Applied mathematics
Order (group theory)
Polygon mesh
0101 mathematics
Fractional differential
Mathematics
Variable (mathematics)

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