A fast finite volume method for spatial fractional diffusion equations on nonuniform meshes
In this paper, a fast finite volume method is proposed for the initial and boundary value
problems of spatial fractional diffusion equations on nonuniform meshes. The discretizations
of the Riemann-Liouville fractional derivatives lead to unstructured dense coefficient
matrices, differing from the Toeplitz-like structure under the uniform mesh. The fast algorithm
is proposed by using the sum-of-exponentials (SOE) technique to the spatial kernel x α− 1,
α∈(0, 1). Then, the matrix-vector multiplications of the resulting coefficient matrices could be …
problems of spatial fractional diffusion equations on nonuniform meshes. The discretizations
of the Riemann-Liouville fractional derivatives lead to unstructured dense coefficient
matrices, differing from the Toeplitz-like structure under the uniform mesh. The fast algorithm
is proposed by using the sum-of-exponentials (SOE) technique to the spatial kernel x α− 1,
α∈(0, 1). Then, the matrix-vector multiplications of the resulting coefficient matrices could be …
A fast finite volume method for spatial fractional diffusion equations on nonuniform meshes [Formula presented]
ZW Fang, JL Zhang, HW Sun - 2022 - repository.um.edu.mo
In this paper, a fast finite volume method is proposed for the initial and boundary value
problems of spatial fractional diffusion equations on nonuniform meshes. The discretizations
of the Riemann-Liouville fractional derivatives lead to unstructured dense coefficient
matrices, differing from the Toeplitz-like structure under the uniform mesh. The fast algorithm
is proposed by using the sum-of-exponentials (SOE) technique to the spatial kernel x, α∈(0,
1). Then, the matrix-vector multiplications of the resulting coefficient matrices could be …
problems of spatial fractional diffusion equations on nonuniform meshes. The discretizations
of the Riemann-Liouville fractional derivatives lead to unstructured dense coefficient
matrices, differing from the Toeplitz-like structure under the uniform mesh. The fast algorithm
is proposed by using the sum-of-exponentials (SOE) technique to the spatial kernel x, α∈(0,
1). Then, the matrix-vector multiplications of the resulting coefficient matrices could be …
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